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materials.py
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materials.py
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import numpy as np
import sys
from pathlib import Path
def reorder(input_vec, output_index):
output_vec = np.zeros(21)
for i, j in enumerate(output_index):
output_vec[j - 1] = input_vec[i]
return output_vec
def read_material(filename):
def read_table(filename):
table = []
with open(filename, 'r') as file:
for line in file:
row = [item for item in line.split()]
table.append(row)
return table
def reorganize(table):
if "Vestrum" in str(filename):
cvec = np.array( table[0][0:6]
+ table[1][1:6]
+ table[2][2:6]
+ table[3][3:6]
+ table[4][4:6]
+ table[5][5:6])
stdv = np.array( table[0][6: ]
+ table[1][7: ]
+ table[2][8: ]
+ table[3][9: ]
+ table[4][10:]
+ table[5][11:])
cvec = [float(item) for item in cvec]
stdv = [float(item) for item in stdv]
materials = np.array(list(zip(cvec, stdv)))
order = [i for i in range(1,22)]
elif any(item in str(filename) for item in ["Aminzadeh", "Brown",
"Lokajicek",
"Militzer"]):
if "BrownAbramson" in str(filename):
materials = []
for i in range(len(table)):
row = []
for j in range(1,len(table[0])-1,2):
row.append([float(table[i][j]), float(table[i][j+1])])
materials.append(row)
elif "Brown" in str(filename):
materials = []
for i in range(21):
row = []
for j in range(1,16,2):
row.append([float(table[i][j]), float(table[i][j+1])])
materials.append(row)
else:
materials = []
for row in table:
materials.append([float(item) for item in row[1:]])
cmn = ["C11", "C12", "C13", "C14", "C15", "C16",
"C22", "C23", "C24", "C25", "C26",
"C33", "C34", "C35", "C36",
"C44", "C45", "C46",
"C55", "C56",
"C66"]
cij = [row[0] for row in table]
cij = cij + [item for item in cmn if item not in cij]
materials = np.array(materials)
order = [np.argmax(np.argsort(cij) == i)+1 for i in range(21)]
else:
sys.exit("Reading logic for the given file is not defined")
return materials, order
def main(filename):
table = read_table(filename)
return reorganize(table)
return main(filename)
def get_materials_Tvec(material):
'''
1 - TapeTape2021 rotated matrices
2 - TapeTape2021 principal matrices
3 - TapeTape2022 elasticity tensors from ES_RefMatricesForCollage.nb
4 - Test matrices from TapeTape2022
5 - Closest elasticity tensors to a tensor with trivial symmetry far from the monoclinic class (Values taken from ES_FarFromMONO_n2000.pdf)
6 - Test matrices from exam
7 - Mar17 matrix
'''
s1 = 1
s2 = np.sqrt(2)
s3 = np.sqrt(3)
s6 = np.sqrt(6)
s8 = np.sqrt(8)
if material == "TapeTape2021_rotated":
TRIV = (1/5) * np.array([ 5, 0, 0, -2, 0, 0,
6, 0, 0, -2, 0,
5, 0, 0, 0,
5, 0, 0,
6, 0,
6])
MONO = (1/80) * np.array([ 222*s1, -12*s6, -82*s1, 21*s6, -39*s2, 0*s1,
196*s1, 12*s6, 30*s1, 10*s3, -16*s1,
222*s1, 9*s6, -51*s2, 0*s1,
242*s1, -6*s3, -24*s1,
254*s1, -8*s3,
304*s1])
ORTH = (1/10) * np.array([ 38*s1, 18*s1, 3*s2, -5*s2, -s6, -s8,
38*s1, 3*s2, 5*s2, -s6, -s8,
41*s1, 0*s1, -7*s3, 6*s1,
20*s1, 0*s1, 0*s1,
27*s1, -2*s3,
56*s1])
TET = (1/64) * np.array([ 168*s1, 4*s6, -40*s1, 6*s6, 6*s2, 0*s1,
324*s1, -4*s6, -42*s1, -14*s3, 16*s3,
168*s1, -6*s6, -6*s2, 0*s1,
233*s1, 35*s3, -8*s3,
163*s1, -8*s1,
352*s1])
CUBE = (1/36) * np.array([ 52*s1, 4*s1, 16*s1, -6*s1, -2*s3, 0*s1,
64*s1, 4*s1, 12*s1, 4*s3, 0*s1,
52*s1, -6*s1, -2*s3, 0*s1,
45*s1, 3*s3, 0*s1,
39*s1, 0*s1,
108*s1])
TRIG = (1/16) * np.array([ 32-4*s3, -8*s1, 3*s2, -6*s2, -3*s6, 0*s1,
32+4*s3, 3*s2, 6*s2, -3*s6, 0*s1,
76*s1, -2*s3, 12*s3, 4*s3,
24*s1, 6*s1, 0*s1,
52*s1, 4*s1,
88*s1] )
XISO = (1/128) * np.array([ 532*s1, 92*s3, 122*s1, -2*s3, -60*s1, 48*s1,
348*s1, -2*s3, 126*s1, -20*s3, 16*s3,
349*s1, 31*s3, -126*s1, 24*s1,
287*s1, -42*s3, 8*s3,
212*s1, -16*s1,
704*s1])
ISO = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
1, 0, 0, 0,
1, 0, 0,
1, 0,
3])
return TRIV, MONO, ORTH, TET, CUBE, TRIG, XISO, ISO
if material == "TapeTape2021_principal":
TRIV = (1/5) * np.array([ 5, 0, 0, -2, 0, 0,
6, 0, 0, -2, 0,
5, 0, 0, 0,
5, 0, 0,
6, 0,
6])
MONO = (1/20) * np.array([ 50+15*s3, -15, 0, 0, 0, 0,
50-15*s3, 0, 0, 0, 0,
64, 0, 0, -8,
76, 12, 0,
44, 0,
76])
ORTH = (1/5) * np.array([ 10, 0, 0, 0, 0, 0,
15, 0, 0, 0, 0,
5, 0, 0, 0,
28, 2*s3, 2,
24, -2*s3,
28])
TET = (1/2) * np.array([ 4, 0, 0, 0, 0, 0,
4, 0, 0, 0, 0,
8, 0, 0, 0,
6, 0, 0,
11, -1,
11])
CUBE = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
1, 0, 0, 0,
2, 0, 0,
2, 0,
3])
TRIG = (1/2) * np.array([ 3, 0, s3, 0, 0, 0,
3, 0, s3, 0, 0,
5, 0, 0, 0,
5, 0, 0,
11, -1,
11])
XISO = (1/2) * np.array([ 2, 0, 0, 0, 0, 0,
2, 0, 0, 0, 0,
6, 0, 0, 0,
6, 0, 0,
11, -1,
11])
ISO = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
1, 0, 0, 0,
1, 0, 0,
1, 0,
3])
return TRIV, MONO, ORTH, TET, CUBE, TRIG, XISO, ISO
elif material == "TapeTape2022_collage":
TRIV = np.array([ 4.086056425972008000, 0.010701286581823899, -0.476223441320207000, 0.917018260845806500, -0.818564693235128500, -0.340248312771245900,
4.672938167924996000, -0.376834406989721540, 0.293522876341346550, -0.962574548964882000, -1.612273033526386400,
2.510880008024643400, 0.026713327098956616, 0.512096098591872400, 0.694367252861254700,
4.216229915649152000, 0.384331609719862900, 0.173061012583925920,
2.986133113121339600, 0.097534355871519480,
2.527762369307859000])
MONO = np.array([ 1.250000000000000000, -0.433012701892219300, 0 , 0 , 0 , 0 ,
1.750000000000000200, 0 , 0 , 0 , 0 ,
4.635052873539182000, -0.064686449064606410, -0.750293377816586700, 0.155272382921874950,
4.265283351323687000, 0.776026174574774100, 1.081879633193907800,
4.243583384280638500, 0.056114869469269024,
4.856080390856493000])
ORTH = np.array([ 1, 0, 0, 0 , 0 , 0 ,
3, 0, 0 , 0 , 0 ,
5, 0 , 0 , 0 ,
2.427256325043446200, -0.323382239501930900, 0.207742446456421100,
1.614722521590946900, -0.140890855884923730,
3.958021153365611800])
TET = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
3, 0, 0, 0,
6, 0, 0,
5, -1,
5])
CUBE = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
1, 0, 0, 0,
2, 0, 0,
2, 0,
3])
TRIG = np.array([ 1.500000000000000000, 0 , -0.866025400000000000, 0 , 0 , 0 ,
1.500000000000000000, 0 , -0.866025400000000000, 0 , 0 ,
2.500000000000000000, 0 , 0 , 0 ,
2.500000000000000000, 0 , 0 ,
5.500000000000000000, -0.500000000000000000,
5.500000000000000000])
XISO = np.array([ 1, 0, 0, 0, 0, 0 ,
1, 0, 0, 0, 0 ,
2, 0, 0, 0 ,
2, 0, 0 ,
3, 2.5,
4 ])
ISO = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
1, 0, 0, 0,
1, 0, 0,
1, 0,
3])
return TRIV, MONO, ORTH, TET, CUBE, TRIG, XISO, ISO
elif material == "TapeTape2022_test":
T1vec = (1/128) * np.array([ 532*s1, 92*s3, 122*s1, -2*s3, -60*s1, 48*s1,
348*s1, -2*s3, 126*s1, -20*s3, 16*s3,
349*s1, 31*s3, -126*s1, 24*s1,
287*s1, -42*s3, 8*s3,
212*s1, -16*s1,
704*s1])
T2vec = (1/64) * np.array([ 168*s1, 4*s6, -40*s1, 6*s6, 6*s2, 0*s1,
324*s1, -4*s6, -42*s1, -14*s3, 16*s3,
168*s1, -6*s6, -6*s2, 0*s1,
233*s1, 35*s3, -8*s3,
163*s1, -8*s1,
352*s1])
T3vec = (1/320) * np.array([ 808*s1, 4*s6, -168*s1, 6*s6, 6*s2, 0*s1,
1572*s1, -4*s6, -282*s1, -94*s3, 80*s3,
808*s1, -6*s6, -6*s2, 0*s1,
1057*s1, 139*s3, -40*s3,
779*s1, -40*s1,
1760*s1])
return T1vec, T2vec, T3vec
elif material == "FarFromMONO":
TRIV = np.array([ 0.31708200, -0.00658517, 0.22786200, 0.21917600, 0.11476200, -0.24482300,
0.07346000, -0.11485800, -0.02070150, 0.02757740, -0.14234200,
0.42042400, 0.21279300, 0.05286390, 0.12043800,
0.24103100, 0.10226500, -0.16281800,
0.09627170, -0.14736100,
0.64901000])
MONO = np.array([ 0.30453100, -0.04445250, 0.23883800, 0.18417100, 0.09108580, -0.18169800,
0.10199400, -0.16294800, -0.04064210, 0.03111810, -0.14669500,
0.44764100, 0.19559300, 0.00627925, 0.17902700,
0.19616900, 0.07340690, -0.09519940,
0.09793330, -0.18417100,
0.64901000])
ORTH = np.array([ 0.32819100, -0.01518270, 0.23797500, 0.25159800, 0.03564770, -0.15428700,
0.13682700, -0.06213200, -0.02213080, 0.04212710, -0.21736400,
0.31050700, 0.22668300, 0.02508750, -0.01148220,
0.28432000, 0.04669110, -0.13660700,
0.08842370, -0.14548700,
0.64901000])
TET = np.array([ 0.29491600, -0.04787780, 0.24597800, 0.21226700, 0.01517680, -0.08824300,
0.16588200, -0.10772200, -0.04524340, 0.05081530, -0.24126800,
0.34913300, 0.22342700, -0.01561020, 0.06071490,
0.24903900, 0.01171260, -0.07189800,
0.08929750, -0.14812100,
0.64901000])
CUBE = np.array([ 0.21051900, 0.04499160, 0.12916000, 0.14135900, 0.05925590, 0.00000000,
0.32138300, -0.10714800, 0.03043980, 0.17098800, 0.00000000,
0.25167700, 0.12622700, -0.03896390, 0.00000000,
0.18948100, 0.04800570, 0.00000000,
0.17520800, 0.00000000,
0.64901000])
TRIG = np.array([ 0.29898400, 0.07446800, 0.14747000, 0.25023500, 0.12149500, -0.16298400,
0.13417600, -0.00379364, 0.09698110, -0.00111659, -0.04727210,
0.22286100, 0.15267000, 0.03240060, -0.10343300,
0.30724500, 0.08161600, -0.16330700,
0.18500300, -0.06859960,
0.64901000])
XISO = np.array([ 0.32052500, 0.05793800, 0.15921400, 0.21961300, 0.12242200, -0.15768600,
0.15036500, 0.02560920, 0.08364730, 0.03772530, -0.04859230,
0.19542400, 0.16733600, 0.05284360, -0.10746900,
0.32719800, 0.07759900, -0.15781400,
0.15475600, -0.06907050,
0.64901000])
ISO = np.array([ 0.22965400, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,
0.22965400, 0.00000000, 0.00000000, 0.00000000, 0.00000000,
0.22965400, 0.00000000, 0.00000000, 0.00000000,
0.22965400, 0.00000000, 0.00000000,
0.22965400, 0.00000000,
0.64901000])
return TRIV, MONO, ORTH, TET, CUBE, TRIG, XISO, ISO
elif material == "Test":
T1vec = (1/16) * np.array([ 32*s1, 0*s1, -16*s1, 0*s1, 0*s1, 0*s1,
60*s1, 0*s1, -6*s1, -2*s3, -40*s3,
32*s1, 0*s1, 0*s1, 0*s1,
43*s1, 9*s3, 20*s3,
25*s1, 20*s1,
32*s1])
T2vec = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
3, 0, 0, 0,
3, 0, 0,
4, 5,
2])
T3vec = np.array([ 1, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0,
5, 0, 0, 0,
3, 0, 0,
4, 5,
2])
return T1vec, T2vec, T3vec
elif material == "Mar17":
Tvec = np.array([ 206.2, -67.4, 17.1, -15.9, 166.6, -19.5,
352.9, 32.2, 3.3, 61.6, -41.6,
343.8, 0.4, 73.6, -4.2,
270.0, 88.8, 13.3,
287.1, 30.7,
74.0])
return Tvec
else:
sys.exit("Error: requested set index invalid")
def get_materials_Cvec(material):
'''
1 - Brown2016 matrices
2 - Igel1995 matrices
'''
root_dir = Path(__file__).resolve().parent
if material == "BrownAbramson":
filename = root_dir / "data/BrownAbramson2016_Table3.txt"
materials, order = read_material(filename)
output_index = order[:len(materials)]
cvec_1 = reorder(materials[:, 0, 0], output_index)
cvec_2 = reorder(materials[:, 1, 0], output_index)
cvec_3 = reorder(materials[:, 2, 0], output_index)
cvec_4 = reorder(materials[:, 3, 0], output_index)
cvec_5 = reorder(materials[:, 4, 0], output_index)
cvec_6 = reorder(materials[:, 5, 0], output_index)
cvec_7 = reorder(materials[:, 6, 0], output_index)
cvec_8 = reorder(materials[:, 7, 0], output_index)
cvec_9 = reorder(materials[:, 8, 0], output_index)
stdv_1 = 1/2 * reorder(materials[:, 0, 1], output_index)
stdv_2 = 1/2 * reorder(materials[:, 1, 1], output_index)
stdv_3 = 1/2 * reorder(materials[:, 2, 1], output_index)
stdv_4 = 1/2 * reorder(materials[:, 3, 1], output_index)
stdv_5 = 1/2 * reorder(materials[:, 4, 1], output_index)
stdv_6 = 1/2 * reorder(materials[:, 5, 1], output_index)
stdv_7 = 1/2 * reorder(materials[:, 6, 1], output_index)
stdv_8 = 1/2 * reorder(materials[:, 7, 1], output_index)
stdv_9 = 1/2 * reorder(materials[:, 8, 1], output_index)
return (cvec_1, stdv_1, cvec_2, stdv_2, cvec_3, stdv_3, cvec_4, stdv_4,
cvec_5, stdv_5, cvec_6, stdv_6, cvec_7, stdv_7, cvec_8, stdv_8,
cvec_9, stdv_9)
elif material == "Brown":
filename = root_dir / "data/Brown2016_Table2.txt"
An, output_index = read_material(filename)
An0 = reorder(An[:, 0, 0], output_index)
An25 = reorder(An[:, 1, 0], output_index)
An37 = reorder(An[:, 2, 0], output_index)
An48 = reorder(An[:, 3, 0], output_index)
An60 = reorder(An[:, 4, 0], output_index)
An67 = reorder(An[:, 5, 0], output_index)
An78 = reorder(An[:, 6, 0], output_index)
An96 = reorder(An[:, 7, 0], output_index)
An0_stdv = 1/2 * reorder(An[:, 0, 1], output_index)
An25_stdv = 1/2 * reorder(An[:, 1, 1], output_index)
An37_stdv = 1/2 * reorder(An[:, 2, 1], output_index)
An48_stdv = 1/2 * reorder(An[:, 3, 1], output_index)
An60_stdv = 1/2 * reorder(An[:, 4, 1], output_index)
An67_stdv = 1/2 * reorder(An[:, 5, 1], output_index)
An78_stdv = 1/2 * reorder(An[:, 6, 1], output_index)
An96_stdv = 1/2 * reorder(An[:, 7, 1], output_index)
return (An0 , An0_stdv , An25, An25_stdv, An37, An37_stdv, An48,
An48_stdv, An60, An60_stdv, An67, An67_stdv, An78, An78_stdv,
An96, An96_stdv)
elif material == "Igel":
cvec = np.array([10.0, 3.50, 2.50, -5.000, 0.10, 0.300,
8.00, 1.50, 0.200, -0.10, -0.150,
6.00, 1.000, 0.40, 0.240,
5.000, 0.35, 0.525,
4.00, -1.000,
3.000])
return cvec
elif material == "Aminzadeh":
filename_1 = root_dir / "data/Aminzadeh2022_Table3.txt"
BUK, output_index_1 = read_material(filename_1)
BUK_01 = reorder(BUK[:,0], output_index_1)
BUK_2 = reorder(BUK[:,1], output_index_1)
BUK_5 = reorder(BUK[:,2], output_index_1)
BUK_10 = reorder(BUK[:,3], output_index_1)
BUK_20 = reorder(BUK[:,4], output_index_1)
BUK_50 = reorder(BUK[:,5], output_index_1)
BUK_80 = reorder(BUK[:,6], output_index_1)
BUK_100 = reorder(BUK[:,7], output_index_1)
filename_2 = root_dir / "data/Aminzadeh2022_Table4.txt"
GRM, output_index_2 = read_material(filename_2)
GRM_01 = reorder(GRM[:, 0], output_index_2)
GRM_5 = reorder(GRM[:, 1], output_index_2)
GRM_10 = reorder(GRM[:, 2], output_index_2)
GRM_15 = reorder(GRM[:, 3], output_index_2)
GRM_20 = reorder(GRM[:, 4], output_index_2)
GRM_50 = reorder(GRM[:, 5], output_index_2)
GRM_80 = reorder(GRM[:, 6], output_index_2)
GRM_100 = reorder(GRM[:, 7], output_index_2)
return (BUK_01, BUK_2, BUK_5, BUK_10, BUK_20, BUK_50, BUK_80, BUK_100,
GRM_01, GRM_5, GRM_10, GRM_15, GRM_20, GRM_50, GRM_80, GRM_100)
elif material == "Lokajicek":
filename = root_dir / "data/Lokajicek2021_supp_5MPa.txt"
materials, output_index_1 = read_material(filename)
WG2D = materials[:, [3,6,8,9]]
WG2D_100 = reorder(WG2D[:, 0], output_index_1)
WG2D_200 = reorder(WG2D[:, 1], output_index_1)
WG2D_400 = reorder(WG2D[:, 2], output_index_1)
WG2D_600 = reorder(WG2D[:, 3], output_index_1)
filename = root_dir / "data/Lokajicek2021_Table3.txt"
materials, output_index_2 = read_material(filename)
WG100 = materials[:, [4, 5]]
WG600 = materials[:, [6, 7]]
WG100_01 = reorder(WG100[:, 0], output_index_2)
WG100_400 = reorder(WG100[:, 1], output_index_2)
WG600_01 = reorder(WG600[:, 0], output_index_2)
WG600_400 = reorder(WG600[:, 1], output_index_2)
return (WG2D_100, WG2D_200, WG2D_400, WG2D_600, WG100_01, WG100_400,
WG600_01, WG600_400)
elif material == "Vestrum":
filename = root_dir / "data/Vestrum1996_Table2.txt"
material, output_index = read_material(filename)
cvec = reorder(material[:, 0], output_index)
stdv = reorder(material[:, 1], output_index)
return cvec, stdv
else:
sys.exit("Error: requested set index invalid")