├── .gitignore ├── Bending ├── bending_fem_mesh_0_25.csv ├── bending_fem_mesh_noise.py ├── convert.sh ├── merge.py ├── mesh_vf1_0_25.csv ├── mesh_vf1_dic.csv ├── mesh_vf2_0_25.csv ├── mesh_vf2_dic.csv ├── vf1-dic.py ├── vf1.py ├── vf2-dic.py └── vf2.py ├── LICENSE ├── README.md ├── _config.yml ├── exec-dic.sh ├── exec.sh ├── input_elas_2D-dic.yaml ├── input_elas_2D.yaml ├── input_elas_2D_noise.yaml ├── nomad-dic.py ├── nomad.py ├── param.txt ├── param ├── param_1.txt ├── param_10.txt ├── param_11.txt ├── param_12.txt ├── param_13.txt ├── param_14.txt ├── param_15.txt ├── param_2.txt ├── param_3.txt ├── param_4.txt ├── param_5.txt ├── param_6.txt ├── param_7.txt ├── param_8.txt └── param_9.txt ├── param_0.txt ├── plot.py ├── run.sh └── run_nomad.sh /.gitignore: -------------------------------------------------------------------------------- 1 | # Byte-compiled / optimized / DLL files 2 | __pycache__/ 3 | *.py[cod] 4 | *$py.class 5 | 6 | # C extensions 7 | *.so 8 | 9 | # Distribution / packaging 10 | .Python 11 | env/ 12 | build/ 13 | develop-eggs/ 14 | dist/ 15 | downloads/ 16 | eggs/ 17 | .eggs/ 18 | lib/ 19 | lib64/ 20 | parts/ 21 | sdist/ 22 | var/ 23 | wheels/ 24 | *.egg-info/ 25 | .installed.cfg 26 | *.egg 27 | 28 | # PyInstaller 29 | # Usually these files are written by a python script from a template 30 | # before PyInstaller builds the exe, so as to inject date/other infos into it. 31 | *.manifest 32 | *.spec 33 | 34 | # Installer logs 35 | pip-log.txt 36 | pip-delete-this-directory.txt 37 | 38 | # Unit test / coverage reports 39 | htmlcov/ 40 | .tox/ 41 | .coverage 42 | .coverage.* 43 | .cache 44 | nosetests.xml 45 | coverage.xml 46 | *.cover 47 | .hypothesis/ 48 | 49 | # Translations 50 | *.mo 51 | *.pot 52 | 53 | # Django stuff: 54 | *.log 55 | local_settings.py 56 | 57 | # Flask stuff: 58 | instance/ 59 | .webassets-cache 60 | 61 | # Scrapy stuff: 62 | .scrapy 63 | 64 | # Sphinx documentation 65 | docs/_build/ 66 | 67 | # PyBuilder 68 | target/ 69 | 70 | # Jupyter Notebook 71 | .ipynb_checkpoints 72 | 73 | # pyenv 74 | .python-version 75 | 76 | # celery beat schedule file 77 | celerybeat-schedule 78 | 79 | # SageMath parsed files 80 | *.sage.py 81 | 82 | # dotenv 83 | .env 84 | 85 | # virtualenv 86 | .venv 87 | venv/ 88 | ENV/ 89 | 90 | # Spyder project settings 91 | .spyderproject 92 | .spyproject 93 | 94 | # Rope project settings 95 | .ropeproject 96 | 97 | # mkdocs documentation 98 | /site 99 | 100 | # mypy 101 | .mypy_cache/ 102 | 103 | # Data 104 | *.csv* 105 | *_* 106 | -------------------------------------------------------------------------------- /Bending/bending_fem_mesh_noise.py: -------------------------------------------------------------------------------- 1 | import csv 2 | import sys 3 | import numpy as np 4 | import random 5 | 6 | mu = 0.0 # mean 7 | sigma = 0.00005 #standard deviation 8 | 9 | with open(sys.argv[1], 'rb') as csvfile: 10 | spamreader = csv.reader(csvfile, delimiter=',', quotechar='|') 11 | spamreader.next() 12 | i = 0 13 | print "#x,y,z,u,v,w,a,b,c,d,e,f" 14 | for row in spamreader: 15 | x = float(row[0]) 16 | y = float(row[1]) 17 | z = float(row[2]) 18 | u = float(row[3]) 19 | v = float(row[4]) 20 | w = float(row[5]) 21 | print str(x)+","+str(y)+","+str(z)+","+str(u+np.random.normal(mu, sigma))+","+str(v+np.random.normal(mu, sigma))+","+str(w)+",0.,0.,0.,0.,0.,0." 22 | i += 1 23 | -------------------------------------------------------------------------------- /Bending/convert.sh: -------------------------------------------------------------------------------- 1 | #!/usr/bin/bash 2 | 3 | nodes=mesh_size_$1/nodes_mesh_$1.txt 4 | 5 | dos2unix ${nodes} 6 | sed -i '1,3d' ${nodes} 7 | sed -i 's/ NODE X Y Z//g' ${nodes} 8 | sed -i '/^$/d' ${nodes} 9 | sed -i 's/^[ \t]*//' ${nodes} 10 | sed -i 's/ \{1,\}/,/g' ${nodes} 11 | cut -d',' -f2- ${nodes} > tmp && mv tmp ${nodes} 12 | 13 | u=mesh_size_$1/displacement_mesh_$1.txt 14 | dos2unix ${u} 15 | sed -i 's/PRINT U NODAL SOLUTION PER NODE//g' ${u} 16 | sed -i 's/.* POST1 NODAL DEGREE OF FREEDOM LISTING .* //g' ${u} 17 | sed -i 's/LOAD STEP= 1 SUBSTEP= 1 //g' ${u} 18 | sed -i 's/TIME= 1.0000 LOAD CASE= 0//g' ${u} 19 | sed -i 's/THE FOLLOWING DEGREE OF FREEDOM RESULTS ARE IN THE GLOBAL COORDINATE SYSTEM//g' ${u} 20 | sed -i 's/NODE UX//g' ${u} 21 | sed -i 's/MAXIMUM ABSOLUTE VALUES//g' ${u} 22 | sed -i 's/NODE.*//g' ${u} 23 | sed -i 's/VALUE.*//g' ${u} 24 | sed -i 's/ UY UZ USUM //g' ${u} 25 | sed -i '/^\s*$/d' ${u} 26 | sed -i 's/^[ \t]*//' ${u} 27 | sed -i 's/ \{1,\}/,/g' ${u} 28 | cut -d',' -f2- ${u} > tmp && mv tmp ${u} 29 | cut -d, -f1-3 ${u} > tmp && mv tmp ${u} 30 | 31 | python merge.py $nodes $u > mesh_size_$1/bending_dic_mesh_$1.csv 32 | -------------------------------------------------------------------------------- /Bending/merge.py: -------------------------------------------------------------------------------- 1 | from itertools import izip 2 | import sys 3 | 4 | print "#x,y,z,u,v,w,a,b,c,d,e,f" 5 | with open(sys.argv[1]) as textfile1, open(sys.argv[2]) as textfile2: 6 | for x, y in izip(textfile1, textfile2): 7 | x = x.strip() 8 | y = y.strip() 9 | print x + y + ",0.000,0.000,0.000,0.000,0.000,0.000" 10 | -------------------------------------------------------------------------------- /Bending/vf1-dic.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | # Script to generate the second virtual field for the displacement obtained by a finite 3 | # element simulations 4 | #@author: rolland.delorme@polymtl.ca 5 | #@author: patrickdiehl@lsu.edu 6 | import csv 7 | import sys 8 | import numpy as np 9 | 10 | L = 126.7 11 | W = 30.99 12 | S = 75. 13 | C = 4.5 14 | SigL = (L/2.)/C 15 | SigW = (W/2.)/C 16 | 17 | with open(sys.argv[1], 'rb') as csvfile: 18 | spamreader = csv.reader(csvfile, delimiter=',', quotechar='|') 19 | spamreader.next() 20 | i = 0 21 | print "#id,x,y,z,u,v,w" 22 | for row in spamreader: 23 | x = float(row[0]) 24 | y = float(row[1]) 25 | print str(i)+","+row[0]+","+row[1]+","+row[2]+",0.,"+str(abs(x)-S/2)+",0." 26 | #print str(i)+","+row[0]+","+row[1]+","+row[2]+","+str(((2./W)*x*np.exp(-0.5*((x)/SigL)**2.))*(L/2*np.exp(-0.5*((y-W/2.)/SigW)**2.)))+","+str((-y/2*np.exp(-0.5*(x/SigL)**2.)))+",0.,0." 27 | i += 1 28 | -------------------------------------------------------------------------------- /Bending/vf1.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | # Script to generate the first virtual field for the displacement obtained by a finite 3 | # element simulations 4 | #@author: rolland.delorme@polymtl.ca 5 | #@author: patrickdiehl@lsu.edu 6 | 7 | import csv 8 | import sys 9 | 10 | S = 96. 11 | 12 | with open(sys.argv[1], 'rb') as csvfile: 13 | spamreader = csv.reader(csvfile, delimiter=',', quotechar='|') 14 | spamreader.next() 15 | i = 0 16 | print "#id,x,y,z,u,v,w" 17 | for row in spamreader: 18 | x = float(row[0]) 19 | y = float(row[1]) 20 | print str(i)+","+row[0]+","+row[1]+","+row[2]+",0.,"+str(abs(x)-S/2)+",0." 21 | i+=1 22 | -------------------------------------------------------------------------------- /Bending/vf2-dic.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | # Script to generate the second virtual field for the displacement obtained by a finite 3 | # element simulations 4 | #@author: rolland.delorme@polymtl.ca 5 | #@author: patrickdiehl@lsu.edu 6 | import csv 7 | import sys 8 | import numpy as np 9 | 10 | L = 126.7 11 | W = 30.99 12 | C = 5. 13 | SigL = (L/2.)/C 14 | SigW = (W/2.)/C 15 | 16 | with open(sys.argv[1], 'rb') as csvfile: 17 | spamreader = csv.reader(csvfile, delimiter=',', quotechar='|') 18 | spamreader.next() 19 | i = 0 20 | print "#id,x,y,z,u,v,w" 21 | for row in spamreader: 22 | x = float(row[0]) 23 | y = float(row[1]) 24 | print str(i)+","+row[0]+","+row[1]+","+row[2]+","+str((x*abs(x)*y)/(L*W))+",0.,0." 25 | #print str(i)+","+row[0]+","+row[1]+","+row[2]+","+str(((2./W)*x*np.exp(-0.5*((x)/SigL)**2.))*(L/2*np.exp(-0.5*((y-W/2.)/SigW)**2.)))+","+str((y/L)*((L/2.)-abs(x)))+",0.,0." 26 | i += 1 27 | -------------------------------------------------------------------------------- /Bending/vf2.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | # Script to generate the second virtual field for the displacement obtained by a finite 3 | # element simulations 4 | #@author: rolland.delorme@polymtl.ca 5 | #@author: patrickdiehl@lsu.edu 6 | import csv 7 | import sys 8 | import numpy as np 9 | 10 | L = 128. 11 | W = 32. 12 | C = 5. 13 | SigL = (L/2.)/C 14 | SigW = (W/2.)/C 15 | 16 | with open(sys.argv[1], 'rb') as csvfile: 17 | spamreader = csv.reader(csvfile, delimiter=',', quotechar='|') 18 | spamreader.next() 19 | i = 0 20 | print "#id,x,y,z,u,v,w" 21 | for row in spamreader: 22 | x = float(row[0]) 23 | y = float(row[1]) 24 | print str(i)+","+row[0]+","+row[1]+","+row[2]+","+str((x*abs(x)*y)/(L*W))+",0.,0." 25 | #print str(i)+","+row[0]+","+row[1]+","+row[2]+","+str(((2./W)*x*np.exp(-0.5*((x)/SigL)**2.))*(L/2*np.exp(-0.5*((y-W/2.)/SigW)**2.)))+","+str((y/L)*((L/2.)-abs(x)))+",0.,0." 26 | i += 1 27 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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But first, please read 674 | . 675 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # A peridynamic formulation of the virtual field method [![DOI](https://zenodo.org/badge/93547069.svg)](https://zenodo.org/badge/latestdoi/93547069) 2 | 3 | 4 | 5 | 6 | ## Dependencies 7 | 8 | * [PeriPyDIC](https://github.com/lm2-poly/PeriPyDIC) 9 | 10 | For the minimization the black box solver [Nomad](https://www.gerad.ca/nomad/Project/Home.html) 3.8.1 was utilized. 11 | 12 | ## References 13 | 14 | * Rolland Delorme, Patrick Diehl, Ilyass Tabiai, Louis Laberge Lebel, and Martin Lévesque. **Extracting constitutive mechanical parameters in linear elasticity using the virtual fields method within the ordinary state-based peridynamic framework**. Journal of Peridynamics and Nonlocal Modeling, Jan 2020. [Link](https://link.springer.com/article/10.1007%2Fs42102-019-00025-7), [Preprint](https://engrxiv.org/uv8m7/) 15 | 16 | ## License 17 | 18 | The code is licensed under the GNU General Public License v3.0 developed by [Rolland Delorme](https://orcid.org/0000-0001-7637-3936) and [Patrick Diehl](https://orcid.org/0000-0003-3922-8419). 19 | 20 | -------------------------------------------------------------------------------- /_config.yml: -------------------------------------------------------------------------------- 1 | theme: jekyll-theme-slate -------------------------------------------------------------------------------- /exec-dic.sh: -------------------------------------------------------------------------------- 1 | python nomad-dic.py $1 2 | -------------------------------------------------------------------------------- /exec.sh: -------------------------------------------------------------------------------- 1 | python nomad.py $1 2 | -------------------------------------------------------------------------------- /input_elas_2D-dic.yaml: -------------------------------------------------------------------------------- 1 | Material: 2 | Type: Elastic 3 | Bulk_Modulus: 1816.18 4 | Shear_Modulus: 857.64 5 | Data: 6 | Dimension: 2 7 | Type: Plane_Stress 8 | Sigma: 12 9 | File: 10 | Name: bending_dic_mesh.csv 11 | Path: ./Bending 12 | Discretization: 13 | Horizon_Factor_m_value: 7 14 | Influence_Function: ONE 15 | Safety_Factor: 1.001 16 | Volume: 0.773125 17 | Output: 18 | VTK: 19 | Path: ./out2/ 20 | Type: 21 | - Displacement 22 | - Neighbors 23 | - Strain_Energy 24 | - Force 25 | Parallel: 26 | Threads: 4 27 | -------------------------------------------------------------------------------- /input_elas_2D.yaml: -------------------------------------------------------------------------------- 1 | Material: 2 | Type: Elastic 3 | Bulk_Modulus: 3333.33333 4 | Shear_Modulus: 1538.46154 5 | Data: 6 | Dimension: 2 7 | Type: Plane_Stress 8 | Sigma: 6 9 | File: 10 | Name: bending_fem_mesh_0_25.csv 11 | Path: ./Bending 12 | Discretization: 13 | Horizon_Factor_m_value: 7 14 | Influence_Function: ONE 15 | Safety_Factor: 1.001 16 | Volume: 0.79375 17 | Output: 18 | VTK: 19 | Path: ./out2/ 20 | Type: 21 | - Displacement 22 | - Neighbors 23 | - Strain_Energy 24 | - Force 25 | Parallel: 26 | Threads: 4 27 | -------------------------------------------------------------------------------- /input_elas_2D_noise.yaml: -------------------------------------------------------------------------------- 1 | Material: 2 | Type: Elastic 3 | Bulk_Modulus: 3333.33333 4 | Shear_Modulus: 1538.46154 5 | Data: 6 | Dimension: 2 7 | Type: Plane_Stress 8 | Sigma: 6 9 | File: 10 | Name: bending_fem_mesh_0_25_noise.csv 11 | Path: ./Bending 12 | Discretization: 13 | Horizon_Factor_m_value: 7 14 | Influence_Function: ONE 15 | Safety_Factor: 1.001 16 | Volume: 0.79375 17 | Output: 18 | VTK: 19 | Path: ./out2/ 20 | Type: 21 | - Displacement 22 | - Neighbors 23 | - Strain_Energy 24 | - Force 25 | Parallel: 26 | Threads: 1 27 | -------------------------------------------------------------------------------- /nomad-dic.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | # Peridynamic virtual field method for extraction of the material properties 3 | # from displacement obtained by a finite element simualtion 4 | # 5 | #@author: rolland.delorme@polymtl.ca 6 | #@author: patrickdiehl@lsu.edu 7 | 8 | import csv 9 | import numpy as np 10 | from peripydic import * 11 | import random 12 | import sys 13 | 14 | # Read the displacment of the virtual field 15 | # @param filename File name of the virtual field's file 16 | # @return The components (u,v) of the virtual field 17 | def readVirtualField(filename): 18 | 19 | data = [] 20 | with open(filename, 'rb') as csvfile: 21 | csvreader = csv.reader(csvfile, delimiter=',') 22 | next(csvreader, None) 23 | for row in csvreader: 24 | data.append(np.array(map(float, row))) 25 | 26 | u = np.zeros((len(data),2)) 27 | 28 | 29 | for i in range(0,len(data)): 30 | u[i][0] = data[i][4] 31 | u[i][1] = data[i][5] 32 | 33 | return u 34 | 35 | def writeParaview(deck,problem): 36 | #ccm_class = IO.ccm.CCM_calcul(deck,problem) 37 | deck.vtk_writer.write_data(deck,problem,None) 38 | 39 | def res1(Wint_vf1,Wint_vf2,Wint_vf3,Wint_vf4): 40 | # Force F to update 41 | F = 2500. 42 | S = 75. 43 | W = 30.99 44 | Wext_vf1 = (F*S/2) # F*S/2. 45 | Wext_vf2 = 0. #(-F*W/2) 46 | Wext_vf3 = 0. 47 | Wext_vf4 = 0. 48 | #print Wint_vf1 , Wint_vf2 , Wint_vf3 , Wint_vf4 49 | return np.sqrt((Wint_vf1+Wext_vf1)**2 + (Wint_vf2+Wext_vf2)**2 + (Wint_vf3+Wext_vf3)**2 + (Wint_vf4+Wext_vf4)**2) / np.sqrt(Wext_vf1**2 + Wext_vf2**2 + Wext_vf3**2 + Wext_vf4**2) 50 | 51 | 52 | def residual(P, deck): 53 | 54 | deck.bulk_modulus = P[0] 55 | deck.shear_modulus = P[1] 56 | 57 | problem = DIC_problem(deck) 58 | Wintvf1 = 0. 59 | Wintvf2 = 0. 60 | Wintvf3 = 0. 61 | Wintvf4 = 0. 62 | writeParaview(deck,problem) 63 | for i in range(0,len(u1)): 64 | Wintvf1 += np.dot(problem.force_int[i,:,1] , u1[i]) * deck.geometry.volumes[i] 65 | Wintvf2 += np.dot(problem.force_int[i,:,1] , u2[i]) * deck.geometry.volumes[i] 66 | #Wintvf3 += np.dot(problem.force_int[i,:,1] , u3[i]) * deck.geometry.volumes[i] 67 | #Wintvf4 += np.dot(problem.force_int[i,:,1] , u4[i]) * deck.geometry.volumes[i] 68 | return res1(Wintvf1,Wintvf2,Wintvf3,Wintvf4) 69 | 70 | 71 | 72 | bnds=((500.,5000.),(500.,5000.)) 73 | 74 | 75 | u1 = readVirtualField("./Bending/mesh_vf1_dic.csv") 76 | u2 = readVirtualField("./Bending/mesh_vf2_dic.csv") 77 | #u3 = readVirtualField("./Bending/mesh_vf3_dic.csv") 78 | #u4 = readVirtualField("./Bending/mesh_vf4_0_25.csv") 79 | 80 | deck = DIC_deck("./input_elas_2D-dic.yaml") 81 | 82 | file = open(sys.argv[1],'r') 83 | values = file.readline().replace("\n","") 84 | values = values.split(' ') 85 | p = np.array((float(values[0]),float(values[1])), dtype=float) 86 | print residual(p,deck) 87 | 88 | -------------------------------------------------------------------------------- /nomad.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | # Peridynamic virtual field method for extraction of the material properties 3 | # from displacement obtained by a finite element simualtion 4 | # 5 | #@author: rolland.delorme@polymtl.ca 6 | #@author: patrickdiehl@lsu.edu 7 | 8 | import csv 9 | import numpy as np 10 | from peripydic import * 11 | import random 12 | import sys 13 | 14 | # Read the displacment of the virtual field 15 | # @param filename File name of the virtual field's file 16 | # @return The components (u,v) of the virtual field 17 | def readVirtualField(filename): 18 | 19 | data = [] 20 | with open(filename, 'rb') as csvfile: 21 | csvreader = csv.reader(csvfile, delimiter=',') 22 | next(csvreader, None) 23 | for row in csvreader: 24 | data.append(np.array(map(float, row))) 25 | 26 | u = np.zeros((len(data),2)) 27 | 28 | 29 | for i in range(0,len(data)): 30 | u[i][0] = data[i][4] 31 | u[i][1] = data[i][5] 32 | 33 | return u 34 | 35 | # Computes the residual out of the internal and external energies 36 | # @param Wint_vf1 Energy obtained by the first virtual field 37 | # @param Wint_vf2 Energy obtained by the second virtual field 38 | def res1(Wint_vf1,Wint_vf2): 39 | F = 1000. 40 | S = 96. 41 | W = 32. 42 | Wext_vf1 = F*S/2. 43 | Wext_vf2 = (-F*W/2.)*0. 44 | return np.sqrt((Wint_vf1+Wext_vf1)**2 + (Wint_vf2+Wext_vf2)**2 ) / np.sqrt(Wext_vf1**2 + Wext_vf2**2) 45 | 46 | # Computes the internal energies and the residual 47 | # @param P Material properties provided by nomad 48 | # @param deck The loaded configuration 49 | # @return The current residual 50 | def residual(P, deck): 51 | 52 | deck.bulk_modulus = P[0] 53 | deck.shear_modulus = P[1] 54 | 55 | problem = DIC_problem(deck) 56 | Wintvf1 = 0. 57 | Wintvf2 = 0. 58 | for i in range(0,len(u1)): 59 | Wintvf1 += np.dot(problem.force_int[i,:,1] , u1[i]) * deck.geometry.volumes[i] 60 | Wintvf2 += np.dot(problem.force_int[i,:,1] , u2[i]) * deck.geometry.volumes[i] 61 | return res1(Wintvf1,Wintvf2) 62 | 63 | # Read the two virtual fields 64 | u1 = readVirtualField("./Bending/mesh_vf1_0_25.csv") 65 | u2 = readVirtualField("./Bending/mesh_vf2_0_25.csv") 66 | 67 | # Read the configuration file 68 | deck = DIC_deck("./input_elas_2D.yaml") 69 | 70 | # Read the provided material properties from nomad 71 | file = open(sys.argv[1],'r') 72 | values = file.readline().replace("\n","") 73 | values = values.split(' ') 74 | p = np.array((float(values[0]),float(values[1])), dtype=float) 75 | 76 | # Compute the current residual with the material properties from nomad 77 | print residual(p,deck) 78 | 79 | -------------------------------------------------------------------------------- /param.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (5000 5000) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_1.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (5000 5000) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_10.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (3718.518071764677 6977.809947333431) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_11.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (8486.054639437525 9008.744367919906) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_12.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (3396.442792964407 6769.252141719262) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_13.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (5543.759119116747 3163.5855519782504) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_14.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (5723.660925957759 6488.8844109452) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_15.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (4612.368559385674 1874.8365843936922) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_2.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (1098.7217967203048 7031.442957604425) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_3.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (2495.136154560938 6502.602794596316) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_4.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (9845.478969141994 1797.8062583872631) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_5.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (1858.4442439787267 9782.044921073142) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_6.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (4334.080312839297 5263.272093968676) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_7.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (6410.610732801034 3680.782678950237) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_8.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (9881.217932784262 2116.6417431320388) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param/param_9.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (8723.166212905833 7719.497891456691) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE GPS N+1 RAND 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /param_0.txt: -------------------------------------------------------------------------------- 1 | SEED -1 2 | DIMENSION 2 3 | BB_EXE exec.sh 4 | BB_OUTPUT_TYPE OBJ 5 | 6 | X0 (5000 5000) 7 | 8 | LOWER_BOUND * 1000 9 | 10 | UPPER_BOUND * 10000 11 | 12 | MAX_BB_EVAL 1000 13 | 14 | DIRECTION_TYPE ORTHO 2N 15 | 16 | DISPLAY_STATS BBE ( SOL ) OBJ 17 | -------------------------------------------------------------------------------- /plot.py: -------------------------------------------------------------------------------- 1 | import csv 2 | import matplotlib.pyplot as plt 3 | import matplotlib 4 | matplotlib.rc('text', usetex = True) 5 | matplotlib.rc('font', **{'family' : "sans-serif"}) 6 | 7 | m = [] 8 | e = [] 9 | 10 | with open('m_val.csv', 'rb') as csvfile: 11 | spamreader = csv.reader(csvfile, delimiter=',', quotechar='|') 12 | for row in spamreader: 13 | m.append(float(row[0])) 14 | e.append(float(row[1])) 15 | 16 | 17 | plt.plot(m,e,marker="o",lw=2,color='black') 18 | #plt.grid() 19 | plt.xlabel(r"$m$") 20 | plt.ylabel(r"Residual $\Phi$") 21 | #plt.legend(loc=2) 22 | #plt.title(r"No gaussian noise") 23 | plt.savefig("convergence.pdf") 24 | 25 | 26 | -------------------------------------------------------------------------------- /run.sh: -------------------------------------------------------------------------------- 1 | #!/bin/bash 2 | filename="csv/nodal_spacing.dat" 3 | while read -r line 4 | do 5 | spacing="$line" 6 | cp csv/mesh_vf2_2.csv_"$spacing" csv/mesh_vf2_2.csv 7 | cp csv/mesh_vf3_2.csv_"$spacing" csv/mesh_vf3_2.csv 8 | cp csv/cantilever_dic_2.csv_"$spacing" csv/cantilever_dic_2.csv 9 | 10 | for i in `seq 3 10`; 11 | do 12 | cp csv/input_elas_2D.yaml_"$spacing"_$i input_elas_2D.yaml 13 | echo "$spacing" , $i >> result.dat 14 | python virtual_field.py >> result.dat 15 | done 16 | done < "$filename" 17 | sed -i '/capi_return is NULL/d' result.dat 18 | sed -i '/Call-back cb_calcfc_in__cobyla__user__routines failed./d' result.dat 19 | sed -i '/Warning: VTK found, but no PyVTK is found, so there will be no output written./d' result.dat 20 | sed -i '/K = 3333.3333 G = 1538.4615/d' result.dat 21 | 22 | -------------------------------------------------------------------------------- /run_nomad.sh: -------------------------------------------------------------------------------- 1 | for i in `seq 1 15`; 2 | do 3 | /calculs/Compile/nomad.3.8.1/bin/nomad param/param_$i.txt >> result_$i.dat & 4 | echo $i 5 | done 6 | 7 | --------------------------------------------------------------------------------