├── (100) ├── .emacs ├── AxesSetup.m ├── CalcDielectric.m ├── CalcEigenstrains.m ├── CalcElasticEnergy.m ├── CalcElecEnergy.m ├── CalcP.m ├── CalculateStrain.m ├── CalculateStress.m ├── Constants.m ├── DomainPctCalc.m ├── EigenstrainInFilm.m ├── ElectrostaticSetup.m ├── ElectrostaticSetup_vpa.m ├── EnergyDensities.m ├── ExternalEFieldEnergy.m ├── GradEnergy.m ├── GreenTensorSetup.m ├── HomoStrainSetup.m ├── Hysteresis.m ├── InfinitePlate.m ├── InfinitePlateSetup.m ├── InfinitePlateSetup_vpa.m ├── InitP.m ├── Isotropic │ ├── GreenTensorSetupIsotropic.m │ ├── InfinitePlateIsotropic.m │ └── InfinitePlateSetupIsotropic.m ├── LandauEnergy.m ├── LatticeStrain.m ├── Main.m ├── MainLoop.m ├── NonRandomInit.m ├── Nucleate.m ├── Other Setup │ ├── BFO.m │ ├── BST.m │ ├── New folder │ │ ├── Setup_BFO_2.m │ │ └── Setup_BST.m │ ├── Setup_1.m │ ├── Setup_BST.m │ ├── Setup_BTO.m │ └── Setup_PTO.m ├── Pretty.m ├── R_Phases.m ├── Random P nucleate test │ └── RandomP.m ├── RandomP.m ├── Render3D.m ├── SaveData.m ├── Setup.m ├── Setup_Mats_BTO_pct1_888.mat ├── SurfaceDepolEnergy.m ├── ThermalNoise.m ├── Visualize.m ├── Visualize_3D.m ├── all.mat ├── colorGradient.m ├── convert.m ├── fft_2d_slices.m ├── finite_diff_x3_first_der.m ├── finite_diff_x3_second_der.m ├── freezeColors.m ├── ifft_2d_slices.m ├── run ├── unfreezeColors.m └── vol_avg.m ├── (110) ├── AxesSetup.m ├── CalcEigenstrains.m ├── CalcElasticEnergy.m ├── CalcElecEnergy.m ├── CalcP_CrystalRef.m ├── CalcP_FilmRef.m ├── CalculateStrain.m ├── CrystalRef_Transform_FilmRef.m ├── DomainPctCalc.m ├── EigenstrainInFilm.m ├── ElectrostaticSetup.m ├── ElectrostaticSetup_vpa.m ├── EnergyDensities.m ├── ExternalEFieldEnergy.m ├── FilmRef_Transform_CrystalRef.m ├── FundamentalConstants.m ├── GradEnergy.m ├── GreenTensorSetup.m ├── HomoStrainSetup.m ├── Hysteresis.m ├── InfinitePlate.m ├── InfinitePlateSetup.m ├── InfinitePlateSetup_vpa.m ├── InitP.m ├── LandauEnergy.m ├── Main.m ├── MainLoop.m ├── NonRandomInit.m ├── Nucleate.m ├── Pretty.m ├── R_Phases.m ├── RandomP.m ├── Render3D_CrystalRef.m ├── Render3D_FilmRef.m ├── SaveData.m ├── Setup.m ├── Setup_BFO_2.m ├── Setup_BST.m ├── SurfaceDepolEnergy.m ├── ThermalNoise.m ├── TransformElasticTensor.m ├── Visualize.m ├── Visualize_3D.m ├── colorGradient.m ├── convert.m ├── fft_2d_slices.m ├── finite_diff_x3_first_der.m ├── finite_diff_x3_second_der.m ├── freezeColors.m ├── ifft_2d_slices.m ├── init.mat ├── run ├── unfreezeColors.m └── vol_avg.m ├── (111) ├── AxesSetup.m ├── CalcEigenstrains.m ├── CalcElasticEnergy.m ├── CalcElecEnergy.m ├── CalcP_CrystalRef.m ├── CalcP_FilmRef.m ├── CalculateStrain.m ├── CrystalRef_Transform_FilmRef.m ├── DomainPctCalc.m ├── EigenstrainInFilm.m ├── ElectrostaticSetup.m ├── ElectrostaticSetup_vpa.m ├── EnergyDensities.m ├── ExternalEFieldEnergy.m ├── FilmRef_Transform_CrystalRef.m ├── FundamentalConstants.m ├── GradEnergy.m ├── GreenTensorSetup.m ├── HomoStrainSetup.m ├── Hysteresis.m ├── InfinitePlate.m ├── InfinitePlateSetup.m ├── InfinitePlateSetup_vpa.m ├── InitP.m ├── LandauEnergy.m ├── Main.m ├── MainLoop.m ├── NonRandomInit.m ├── Nucleate.m ├── Pretty.m ├── R_Phases.m ├── RandomP.m ├── Render3D_CrystalRef.m ├── Render3D_FilmRef.m ├── SaveData.m ├── Setup.m ├── Setup_BFO_2.m ├── Setup_BST.m ├── SurfaceDepolEnergy.m ├── ThermalNoise.m ├── TransformElasticTensor.m ├── Visualize.m ├── Visualize_3D.m ├── colorGradient.m ├── convert.m ├── fft_2d_slices.m ├── finite_diff_x3_first_der.m ├── finite_diff_x3_second_der.m ├── freezeColors.m ├── ifft_2d_slices.m ├── init.mat ├── run ├── unfreezeColors.m └── vol_avg.m ├── .gitattributes ├── Flowchart.pdf ├── README.md ├── README ├── 1. Free Energy.docx ├── 11. Arbitrarily Oriented Substrate.docx ├── 12. inhomogeneous Elasticity.docx ├── 13. Higher Order Time Methods.docx ├── 2. Eshelby and Mech Equ.docx ├── 3. Khachutryan Eigenstrain Method.docx ├── 4. Nambu Matrix Method.docx ├── 5. Infinite Plate Solution.docx ├── 6. Electrostatic Energy.docx ├── 7. Time Dependent Landau Ginzbug Devonshire Equation.docx ├── 8. Substrate Orientation.docx ├── 9. (110) Oriented Substrate.docx ├── I. Notation.docx ├── II. Fourier Transforms.docx ├── III. Total Energy Densities.docx ├── Phase Field Modeling of Thin Film Ferroelectrics.pptx ├── Testing │ ├── BFO Validation.docx │ ├── BTO Results.docx │ └── Verify Elastic.docx └── analytical_derivations.m └── _flowchart.pptx /(100)/.emacs: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/.emacs -------------------------------------------------------------------------------- /(100)/AxesSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/AxesSetup.m -------------------------------------------------------------------------------- /(100)/CalcDielectric.m: -------------------------------------------------------------------------------- 1 | % Calc dielectric -------------------------------------------------------------------------------- /(100)/CalcEigenstrains.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/CalcEigenstrains.m -------------------------------------------------------------------------------- /(100)/CalcElasticEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/CalcElasticEnergy.m -------------------------------------------------------------------------------- /(100)/CalcElecEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/CalcElecEnergy.m -------------------------------------------------------------------------------- /(100)/CalcP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/CalcP.m -------------------------------------------------------------------------------- /(100)/CalculateStrain.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/CalculateStrain.m -------------------------------------------------------------------------------- /(100)/CalculateStress.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/CalculateStress.m -------------------------------------------------------------------------------- /(100)/Constants.m: -------------------------------------------------------------------------------- 1 | permittivity_0 = 8.85418782*1e-12; 2 | k_boltzmann = 1.38064852 * 1e-23; -------------------------------------------------------------------------------- /(100)/DomainPctCalc.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/DomainPctCalc.m -------------------------------------------------------------------------------- /(100)/EigenstrainInFilm.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/EigenstrainInFilm.m -------------------------------------------------------------------------------- /(100)/ElectrostaticSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/ElectrostaticSetup.m -------------------------------------------------------------------------------- /(100)/ElectrostaticSetup_vpa.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/ElectrostaticSetup_vpa.m -------------------------------------------------------------------------------- /(100)/EnergyDensities.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/EnergyDensities.m -------------------------------------------------------------------------------- /(100)/ExternalEFieldEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/ExternalEFieldEnergy.m -------------------------------------------------------------------------------- /(100)/GradEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/GradEnergy.m -------------------------------------------------------------------------------- /(100)/GreenTensorSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/GreenTensorSetup.m -------------------------------------------------------------------------------- /(100)/HomoStrainSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/HomoStrainSetup.m -------------------------------------------------------------------------------- /(100)/Hysteresis.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Hysteresis.m -------------------------------------------------------------------------------- /(100)/InfinitePlate.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/InfinitePlate.m -------------------------------------------------------------------------------- /(100)/InfinitePlateSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/InfinitePlateSetup.m -------------------------------------------------------------------------------- /(100)/InfinitePlateSetup_vpa.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/InfinitePlateSetup_vpa.m -------------------------------------------------------------------------------- /(100)/InitP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/InitP.m -------------------------------------------------------------------------------- /(100)/Isotropic/GreenTensorSetupIsotropic.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Isotropic/GreenTensorSetupIsotropic.m -------------------------------------------------------------------------------- /(100)/Isotropic/InfinitePlateIsotropic.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Isotropic/InfinitePlateIsotropic.m -------------------------------------------------------------------------------- /(100)/Isotropic/InfinitePlateSetupIsotropic.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Isotropic/InfinitePlateSetupIsotropic.m -------------------------------------------------------------------------------- /(100)/LandauEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/LandauEnergy.m -------------------------------------------------------------------------------- /(100)/LatticeStrain.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/LatticeStrain.m -------------------------------------------------------------------------------- /(100)/Main.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Main.m -------------------------------------------------------------------------------- /(100)/MainLoop.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/MainLoop.m -------------------------------------------------------------------------------- /(100)/NonRandomInit.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/NonRandomInit.m -------------------------------------------------------------------------------- /(100)/Nucleate.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Nucleate.m -------------------------------------------------------------------------------- /(100)/Other Setup/BFO.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/BFO.m -------------------------------------------------------------------------------- /(100)/Other Setup/BST.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/BST.m -------------------------------------------------------------------------------- /(100)/Other Setup/New folder/Setup_BFO_2.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/New folder/Setup_BFO_2.m -------------------------------------------------------------------------------- /(100)/Other Setup/New folder/Setup_BST.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/New folder/Setup_BST.m -------------------------------------------------------------------------------- /(100)/Other Setup/Setup_1.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/Setup_1.m -------------------------------------------------------------------------------- /(100)/Other Setup/Setup_BST.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/Setup_BST.m -------------------------------------------------------------------------------- /(100)/Other Setup/Setup_BTO.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/Setup_BTO.m -------------------------------------------------------------------------------- /(100)/Other Setup/Setup_PTO.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Other Setup/Setup_PTO.m -------------------------------------------------------------------------------- /(100)/Pretty.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Pretty.m -------------------------------------------------------------------------------- /(100)/R_Phases.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/R_Phases.m -------------------------------------------------------------------------------- /(100)/Random P nucleate test/RandomP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Random P nucleate test/RandomP.m -------------------------------------------------------------------------------- /(100)/RandomP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/RandomP.m -------------------------------------------------------------------------------- /(100)/Render3D.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Render3D.m -------------------------------------------------------------------------------- /(100)/SaveData.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/SaveData.m -------------------------------------------------------------------------------- /(100)/Setup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Setup.m -------------------------------------------------------------------------------- /(100)/Setup_Mats_BTO_pct1_888.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Setup_Mats_BTO_pct1_888.mat -------------------------------------------------------------------------------- /(100)/SurfaceDepolEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/SurfaceDepolEnergy.m -------------------------------------------------------------------------------- /(100)/ThermalNoise.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/ThermalNoise.m -------------------------------------------------------------------------------- /(100)/Visualize.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Visualize.m -------------------------------------------------------------------------------- /(100)/Visualize_3D.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/Visualize_3D.m -------------------------------------------------------------------------------- /(100)/all.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/all.mat -------------------------------------------------------------------------------- /(100)/colorGradient.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/colorGradient.m -------------------------------------------------------------------------------- /(100)/convert.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/convert.m -------------------------------------------------------------------------------- /(100)/fft_2d_slices.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/fft_2d_slices.m -------------------------------------------------------------------------------- /(100)/finite_diff_x3_first_der.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/finite_diff_x3_first_der.m -------------------------------------------------------------------------------- /(100)/finite_diff_x3_second_der.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/finite_diff_x3_second_der.m -------------------------------------------------------------------------------- /(100)/freezeColors.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/freezeColors.m -------------------------------------------------------------------------------- /(100)/ifft_2d_slices.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/ifft_2d_slices.m -------------------------------------------------------------------------------- /(100)/run: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/run -------------------------------------------------------------------------------- /(100)/unfreezeColors.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/unfreezeColors.m -------------------------------------------------------------------------------- /(100)/vol_avg.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(100)/vol_avg.m -------------------------------------------------------------------------------- /(110)/AxesSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/AxesSetup.m -------------------------------------------------------------------------------- /(110)/CalcEigenstrains.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/CalcEigenstrains.m -------------------------------------------------------------------------------- /(110)/CalcElasticEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/CalcElasticEnergy.m -------------------------------------------------------------------------------- /(110)/CalcElecEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/CalcElecEnergy.m -------------------------------------------------------------------------------- /(110)/CalcP_CrystalRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/CalcP_CrystalRef.m -------------------------------------------------------------------------------- /(110)/CalcP_FilmRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/CalcP_FilmRef.m -------------------------------------------------------------------------------- /(110)/CalculateStrain.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/CalculateStrain.m -------------------------------------------------------------------------------- /(110)/CrystalRef_Transform_FilmRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/CrystalRef_Transform_FilmRef.m -------------------------------------------------------------------------------- /(110)/DomainPctCalc.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/DomainPctCalc.m -------------------------------------------------------------------------------- /(110)/EigenstrainInFilm.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/EigenstrainInFilm.m -------------------------------------------------------------------------------- /(110)/ElectrostaticSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/ElectrostaticSetup.m -------------------------------------------------------------------------------- /(110)/ElectrostaticSetup_vpa.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/ElectrostaticSetup_vpa.m -------------------------------------------------------------------------------- /(110)/EnergyDensities.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/EnergyDensities.m -------------------------------------------------------------------------------- /(110)/ExternalEFieldEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/ExternalEFieldEnergy.m -------------------------------------------------------------------------------- /(110)/FilmRef_Transform_CrystalRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/FilmRef_Transform_CrystalRef.m -------------------------------------------------------------------------------- /(110)/FundamentalConstants.m: -------------------------------------------------------------------------------- 1 | permittivity_0 = 8.85418782*1e-12; -------------------------------------------------------------------------------- /(110)/GradEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/GradEnergy.m -------------------------------------------------------------------------------- /(110)/GreenTensorSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/GreenTensorSetup.m -------------------------------------------------------------------------------- /(110)/HomoStrainSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/HomoStrainSetup.m -------------------------------------------------------------------------------- /(110)/Hysteresis.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Hysteresis.m -------------------------------------------------------------------------------- /(110)/InfinitePlate.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/InfinitePlate.m -------------------------------------------------------------------------------- /(110)/InfinitePlateSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/InfinitePlateSetup.m -------------------------------------------------------------------------------- /(110)/InfinitePlateSetup_vpa.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/InfinitePlateSetup_vpa.m -------------------------------------------------------------------------------- /(110)/InitP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/InitP.m -------------------------------------------------------------------------------- /(110)/LandauEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/LandauEnergy.m -------------------------------------------------------------------------------- /(110)/Main.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Main.m -------------------------------------------------------------------------------- /(110)/MainLoop.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/MainLoop.m -------------------------------------------------------------------------------- /(110)/NonRandomInit.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/NonRandomInit.m -------------------------------------------------------------------------------- /(110)/Nucleate.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Nucleate.m -------------------------------------------------------------------------------- /(110)/Pretty.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Pretty.m -------------------------------------------------------------------------------- /(110)/R_Phases.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/R_Phases.m -------------------------------------------------------------------------------- /(110)/RandomP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/RandomP.m -------------------------------------------------------------------------------- /(110)/Render3D_CrystalRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Render3D_CrystalRef.m -------------------------------------------------------------------------------- /(110)/Render3D_FilmRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Render3D_FilmRef.m -------------------------------------------------------------------------------- /(110)/SaveData.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/SaveData.m -------------------------------------------------------------------------------- /(110)/Setup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Setup.m -------------------------------------------------------------------------------- /(110)/Setup_BFO_2.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Setup_BFO_2.m -------------------------------------------------------------------------------- /(110)/Setup_BST.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Setup_BST.m -------------------------------------------------------------------------------- /(110)/SurfaceDepolEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/SurfaceDepolEnergy.m -------------------------------------------------------------------------------- /(110)/ThermalNoise.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/ThermalNoise.m -------------------------------------------------------------------------------- /(110)/TransformElasticTensor.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/TransformElasticTensor.m -------------------------------------------------------------------------------- /(110)/Visualize.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Visualize.m -------------------------------------------------------------------------------- /(110)/Visualize_3D.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/Visualize_3D.m -------------------------------------------------------------------------------- /(110)/colorGradient.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/colorGradient.m -------------------------------------------------------------------------------- /(110)/convert.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/convert.m -------------------------------------------------------------------------------- /(110)/fft_2d_slices.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/fft_2d_slices.m -------------------------------------------------------------------------------- /(110)/finite_diff_x3_first_der.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/finite_diff_x3_first_der.m -------------------------------------------------------------------------------- /(110)/finite_diff_x3_second_der.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/finite_diff_x3_second_der.m -------------------------------------------------------------------------------- /(110)/freezeColors.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/freezeColors.m -------------------------------------------------------------------------------- /(110)/ifft_2d_slices.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/ifft_2d_slices.m -------------------------------------------------------------------------------- /(110)/init.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/init.mat -------------------------------------------------------------------------------- /(110)/run: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/run -------------------------------------------------------------------------------- /(110)/unfreezeColors.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/unfreezeColors.m -------------------------------------------------------------------------------- /(110)/vol_avg.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(110)/vol_avg.m -------------------------------------------------------------------------------- /(111)/AxesSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/AxesSetup.m -------------------------------------------------------------------------------- /(111)/CalcEigenstrains.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/CalcEigenstrains.m -------------------------------------------------------------------------------- /(111)/CalcElasticEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/CalcElasticEnergy.m -------------------------------------------------------------------------------- /(111)/CalcElecEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/CalcElecEnergy.m -------------------------------------------------------------------------------- /(111)/CalcP_CrystalRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/CalcP_CrystalRef.m -------------------------------------------------------------------------------- /(111)/CalcP_FilmRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/CalcP_FilmRef.m -------------------------------------------------------------------------------- /(111)/CalculateStrain.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/CalculateStrain.m -------------------------------------------------------------------------------- /(111)/CrystalRef_Transform_FilmRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/CrystalRef_Transform_FilmRef.m -------------------------------------------------------------------------------- /(111)/DomainPctCalc.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/DomainPctCalc.m -------------------------------------------------------------------------------- /(111)/EigenstrainInFilm.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/EigenstrainInFilm.m -------------------------------------------------------------------------------- /(111)/ElectrostaticSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/ElectrostaticSetup.m -------------------------------------------------------------------------------- /(111)/ElectrostaticSetup_vpa.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/ElectrostaticSetup_vpa.m -------------------------------------------------------------------------------- /(111)/EnergyDensities.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/EnergyDensities.m -------------------------------------------------------------------------------- /(111)/ExternalEFieldEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/ExternalEFieldEnergy.m -------------------------------------------------------------------------------- /(111)/FilmRef_Transform_CrystalRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/FilmRef_Transform_CrystalRef.m -------------------------------------------------------------------------------- /(111)/FundamentalConstants.m: -------------------------------------------------------------------------------- 1 | permittivity_0 = 8.85418782*1e-12; -------------------------------------------------------------------------------- /(111)/GradEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/GradEnergy.m -------------------------------------------------------------------------------- /(111)/GreenTensorSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/GreenTensorSetup.m -------------------------------------------------------------------------------- /(111)/HomoStrainSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/HomoStrainSetup.m -------------------------------------------------------------------------------- /(111)/Hysteresis.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Hysteresis.m -------------------------------------------------------------------------------- /(111)/InfinitePlate.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/InfinitePlate.m -------------------------------------------------------------------------------- /(111)/InfinitePlateSetup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/InfinitePlateSetup.m -------------------------------------------------------------------------------- /(111)/InfinitePlateSetup_vpa.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/InfinitePlateSetup_vpa.m -------------------------------------------------------------------------------- /(111)/InitP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/InitP.m -------------------------------------------------------------------------------- /(111)/LandauEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/LandauEnergy.m -------------------------------------------------------------------------------- /(111)/Main.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Main.m -------------------------------------------------------------------------------- /(111)/MainLoop.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/MainLoop.m -------------------------------------------------------------------------------- /(111)/NonRandomInit.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/NonRandomInit.m -------------------------------------------------------------------------------- /(111)/Nucleate.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Nucleate.m -------------------------------------------------------------------------------- /(111)/Pretty.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Pretty.m -------------------------------------------------------------------------------- /(111)/R_Phases.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/R_Phases.m -------------------------------------------------------------------------------- /(111)/RandomP.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/RandomP.m -------------------------------------------------------------------------------- /(111)/Render3D_CrystalRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Render3D_CrystalRef.m -------------------------------------------------------------------------------- /(111)/Render3D_FilmRef.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Render3D_FilmRef.m -------------------------------------------------------------------------------- /(111)/SaveData.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/SaveData.m -------------------------------------------------------------------------------- /(111)/Setup.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Setup.m -------------------------------------------------------------------------------- /(111)/Setup_BFO_2.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Setup_BFO_2.m -------------------------------------------------------------------------------- /(111)/Setup_BST.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Setup_BST.m -------------------------------------------------------------------------------- /(111)/SurfaceDepolEnergy.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/SurfaceDepolEnergy.m -------------------------------------------------------------------------------- /(111)/ThermalNoise.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/ThermalNoise.m -------------------------------------------------------------------------------- /(111)/TransformElasticTensor.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/TransformElasticTensor.m -------------------------------------------------------------------------------- /(111)/Visualize.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Visualize.m -------------------------------------------------------------------------------- /(111)/Visualize_3D.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/Visualize_3D.m -------------------------------------------------------------------------------- /(111)/colorGradient.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/colorGradient.m -------------------------------------------------------------------------------- /(111)/convert.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/convert.m -------------------------------------------------------------------------------- /(111)/fft_2d_slices.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/fft_2d_slices.m -------------------------------------------------------------------------------- /(111)/finite_diff_x3_first_der.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/finite_diff_x3_first_der.m -------------------------------------------------------------------------------- /(111)/finite_diff_x3_second_der.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/finite_diff_x3_second_der.m -------------------------------------------------------------------------------- /(111)/freezeColors.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/freezeColors.m -------------------------------------------------------------------------------- /(111)/ifft_2d_slices.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/ifft_2d_slices.m -------------------------------------------------------------------------------- /(111)/init.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/init.mat -------------------------------------------------------------------------------- /(111)/run: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/run -------------------------------------------------------------------------------- /(111)/unfreezeColors.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/unfreezeColors.m -------------------------------------------------------------------------------- /(111)/vol_avg.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/(111)/vol_avg.m -------------------------------------------------------------------------------- /.gitattributes: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/.gitattributes -------------------------------------------------------------------------------- /Flowchart.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/Flowchart.pdf -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README.md -------------------------------------------------------------------------------- /README/1. Free Energy.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/1. Free Energy.docx -------------------------------------------------------------------------------- /README/11. Arbitrarily Oriented Substrate.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/11. Arbitrarily Oriented Substrate.docx -------------------------------------------------------------------------------- /README/12. inhomogeneous Elasticity.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/12. inhomogeneous Elasticity.docx -------------------------------------------------------------------------------- /README/13. Higher Order Time Methods.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/13. Higher Order Time Methods.docx -------------------------------------------------------------------------------- /README/2. Eshelby and Mech Equ.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/2. Eshelby and Mech Equ.docx -------------------------------------------------------------------------------- /README/3. Khachutryan Eigenstrain Method.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/3. Khachutryan Eigenstrain Method.docx -------------------------------------------------------------------------------- /README/4. Nambu Matrix Method.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/4. Nambu Matrix Method.docx -------------------------------------------------------------------------------- /README/5. Infinite Plate Solution.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/5. Infinite Plate Solution.docx -------------------------------------------------------------------------------- /README/6. Electrostatic Energy.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/6. Electrostatic Energy.docx -------------------------------------------------------------------------------- /README/7. Time Dependent Landau Ginzbug Devonshire Equation.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/7. Time Dependent Landau Ginzbug Devonshire Equation.docx -------------------------------------------------------------------------------- /README/8. Substrate Orientation.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/8. Substrate Orientation.docx -------------------------------------------------------------------------------- /README/9. (110) Oriented Substrate.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/9. (110) Oriented Substrate.docx -------------------------------------------------------------------------------- /README/I. Notation.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/I. Notation.docx -------------------------------------------------------------------------------- /README/II. Fourier Transforms.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/II. Fourier Transforms.docx -------------------------------------------------------------------------------- /README/III. Total Energy Densities.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/III. Total Energy Densities.docx -------------------------------------------------------------------------------- /README/Phase Field Modeling of Thin Film Ferroelectrics.pptx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/Phase Field Modeling of Thin Film Ferroelectrics.pptx -------------------------------------------------------------------------------- /README/Testing/BFO Validation.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/Testing/BFO Validation.docx -------------------------------------------------------------------------------- /README/Testing/BTO Results.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/Testing/BTO Results.docx -------------------------------------------------------------------------------- /README/Testing/Verify Elastic.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/Testing/Verify Elastic.docx -------------------------------------------------------------------------------- /README/analytical_derivations.m: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/README/analytical_derivations.m -------------------------------------------------------------------------------- /_flowchart.pptx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/geoffxiao/Phase-Field-Modeling/HEAD/_flowchart.pptx --------------------------------------------------------------------------------