{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Amira Abdel-Rahman\n",
"# (c) Massachusetts Institute of Technology 2020\n",
"\n",
"# tested using julia 1.5.2 and windows Nvidia geforce gtx 1070 Ti"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Include Dependencies"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"using LinearAlgebra\n",
"import JSON\n",
"using StaticArrays, BenchmarkTools\n",
"using Base.Threads\n",
"using CUDA\n",
"import Base: +, * , -, ^\n",
"using Plots\n"
]
},
{
"cell_type": "code",
"execution_count": 682,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"axialStrain (generic function with 1 method)"
]
},
"execution_count": 682,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(\"./julia/include/vector.jl\") #utils for vectors and quaternions\n",
"include(\"./julia/include/material.jl\") #utils for node and edge material\n",
"include(\"./julia/include/export.jl\") #export simulation data to json\n",
"include(\"./julia/include/run.jl\") #turn setup to cuda arrays and run simulation\n",
"include(\"./julia/include/updateEdges.jl\") #edges properties update\n",
"include(\"./julia/include/externalForces.jl\") #external forces applied to the system\n",
"include(\"./julia/include/forces.jl\") #force integration\n",
"include(\"./julia/include/updateNodes.jl\") #nodes properties update"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Create Geometry"
]
},
{
"cell_type": "code",
"execution_count": 693,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"axialStrain (generic function with 1 method)"
]
},
"execution_count": 693,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"name= \"tutorial\"\n",
"include(\"./julia/examples/nonLinearTest.jl\") #template for hierarchical voxels with global poisson ratio\n",
"\n",
"\n",
"\n",
"## rerun these just for sanity check for dynamic loads\n",
"include(\"./julia/include/run.jl\") #turn setup to cuda arrays and run simulation\n",
"include(\"./julia/include/updateEdges.jl\") #edges properties update\n",
"include(\"./julia/include/forces.jl\") #force integration\n",
"include(\"./julia/include/updateNodes.jl\") #nodes properties update"
]
},
{
"cell_type": "code",
"execution_count": 694,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Loaded rhino3dm.\n",
"Success!\n"
]
},
{
"data": {
"text/plain": [
"Process(`\u001b[4mnode\u001b[24m \u001b[4mapp1.js\u001b[24m \u001b[4mtutorial\u001b[24m`, ProcessExited(0))"
]
},
"execution_count": 694,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#export prev. settings to json\n",
"fileName=\"./json/$(name)Init.json\"\n",
"setup1=Dict()\n",
"setup1[\"setup\"]=setup\n",
"stringdata = JSON.json(setup1)\n",
"open(fileName, \"w\") do f\n",
" write(f, stringdata)\n",
"end\n",
"#run node.js to draw the gerometry using rhino3dm\n",
"mycommand = `node app1.js $(name)`\n",
"run(mycommand)"
]
},
{
"cell_type": "code",
"execution_count": 695,
"metadata": {},
"outputs": [],
"source": [
"# function externalForce(currentTimeStep,N_position,N_force)\n",
"# return N_force\n",
"# end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Run Simulation"
]
},
{
"cell_type": "code",
"execution_count": 686,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.0, 10000.0, 11000.0, 21000.0, 41000.0, 141000.00000000003, 260999.99999999994, -1.0]\n",
"dt: 1.0265185886837392e-5, s: 0.001, mass: 8.0e-6, momentInertiaInverse: 1.8749999999999997e11\n",
"first timestep took 3.0233116 seconds\n",
"ran 250 nodes and 625 edges for 30000 time steps took 19.600108399 seconds\n"
]
}
],
"source": [
"# name for simulation\n",
"# name= \"tutorial\"\n",
"# name=\"couponHex\"\n",
"# name=\"coupon\"\n",
"# name=\"nonlinear\"\n",
"\n",
"\n",
"folderPath=\"./json/tutorial/\" # make sure this folder exists\n",
"setupSim=getSetup(name);\n",
"runMetavoxelGPULive!(setupSim,folderPath)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot"
]
},
{
"cell_type": "code",
"execution_count": 687,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\"tutorial\""
]
},
"execution_count": 687,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(\"./julia/include/plotViz.jl\") #plotting\n",
"name= \"tutorial\"\n",
"# plotDisplacementTroughTimeSteps(name,100)\n",
"# plotFinalStress(name)"
]
},
{
"cell_type": "code",
"execution_count": 688,
"metadata": {},
"outputs": [
{
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"source": [
"strainData=[0.0, 0.1, 0.2, 0.5, 0.8, 1.2]\n",
"stressData=[0.0, 1e5 ,2e5, 3.0e5, 7.0e5, 12e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": 668,
"metadata": {},
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"source": [
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},
{
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},
{
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}
],
"source": [
"strainData=[0.0, 0.1, 0.2, 0.5, 0.7, 1.5]\n",
"stressData=[0.0, 1e5 ,2e5, 3.0e5, 2.0e5, 2.5e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": 331,
"metadata": {},
"outputs": [
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}
],
"source": [
"strainData=[0.0, 0.2, 0.3, 0.6, 0.8, 1.5]\n",
"stressData=[0.0, 2e5 ,3e5, 3.5e5, 3.0e5, 1e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": 229,
"metadata": {},
"outputs": [
{
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],
"source": [
"strainData=[0.0, 0.2, 0.4, 0.7, 1.2, 1.8]\n",
"stressData=[0.0, 2e5 ,4e5, 5e5, 6e5, 9e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": 217,
"metadata": {},
"outputs": [
{
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"source": [
"strainData=[0.0, 0.2, 0.4, 0.6, 0.8, 1.8]\n",
"stressData=[0.0, 2e5 ,4e5, 9e5, 6e5, 10e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": 165,
"metadata": {},
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],
"source": [
"strainData=[0.0, 0.2, 0.4, 0.6, 0.8, 1.8]\n",
"stressData=[0.0, 2e5 ,4e5, 9e5, 8e5, 10e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
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"metadata": {},
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}
],
"source": [
"strainData=[0.0, 0.2, 0.4, 0.6, 0.8, 1.8]\n",
"stressData=[0.0, 2e5 ,4e5, 9e5, 12e5, 20e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
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],
"source": [
"strainData=[0.0, 0.2, 0.4, 0.7, 1.2, 1.8]\n",
"stressData=[0.0, 2e5 ,4e5, 7e5, 10e5, 18e5]\n",
"plotPrescribedTroughTimeSteps(name,245,strainData,stressData)"
]
},
{
"cell_type": "code",
"execution_count": 165,
"metadata": {},
"outputs": [
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"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.2, 0.4, 0.7, 1.5]\n",
"stressData=[0.0, 2e5 ,4e5, 7e5, 10e5]"
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},
{
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"metadata": {},
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"source": []
},
{
"cell_type": "code",
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],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.2, 0.4, 0.8, 1.2]\n",
"stressData=[0.0, 2e5 ,4e5, 6e5, -1]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
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],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.2, 0.4, 0.8, 1.0]\n",
"stressData=[0.0, 2e5 ,4e5, 10e5, -1]"
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},
{
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"metadata": {},
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{
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],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.2, 0.4, 0.8, 1.0]\n",
"stressData=[0.0, 2e5 ,4e5, 8e5, -1]"
]
},
{
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},
{
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},
{
"cell_type": "code",
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" 292.89,1374.46 317.305,1362.88 341.771,1351.29 366.288,1339.67 390.857,1328.05 415.476,1316.4 440.147,1304.74 464.867,1293.06 489.639,1281.37 514.461,1269.66 \n",
" 539.333,1257.93 564.255,1246.19 589.228,1234.43 614.252,1222.65 639.369,1210.84 664.503,1199.02 689.684,1187.19 714.917,1175.34 740.2,1163.47 765.534,1151.59 \n",
" 791.034,1139.63 816.488,1127.7 841.989,1115.76 867.541,1103.8 893.146,1091.82 918.803,1079.82 944.513,1067.8 970.275,1055.76 996.09,1043.71 1021.99,1031.62 \n",
" 1047.98,1019.49 1073.96,1007.38 1099.99,995.239 1126.08,983.083 1152.23,970.908 1178.47,958.692 1204.74,946.467 1231.05,934.228 1257.42,921.968 1283.84,909.689 \n",
" 1310.32,897.388 1336.86,885.066 1363.45,872.722 1390.1,860.357 1416.8,847.971 1443.57,835.562 1470.39,823.131 1497.27,810.678 1524.21,798.202 1551.21,785.703 \n",
" 1578.27,773.181 1605.39,760.636 1632.78,747.977 1661.2,734.851 1691.18,721.011 1712.77,705.262 1732.21,688.202 1751.54,671.066 1770.31,654.294 1788.89,637.63 \n",
" 1807.28,621.09 1825.62,604.578 1843.86,588.13 1861.58,572.104 1878.93,556.399 1895.87,541.033 1912.56,525.877 1929.05,510.906 1945.58,495.904 1962.03,480.962 \n",
" 1978.47,466.032 1994.93,451.089 2011.38,436.138 2027.76,421.227 2058.84,397.964 1820.27,339.193 2158.52,308.308 2186.3,283.824 1847.6,261.634 1856.74,234.749 \n",
" 2263.44,215.576 2292.16,192.234 1894.36,159.909 291.651,1066.28 274.43,1074.31 273.194,1074.92 272.657,1075.18 272.411,1075.3 272.297,1075.36 272.245,1075.38 \n",
" 272.221,1075.4 272.21,1075.4 272.205,1075.4 272.203,1075.4 272.202,1075.41 272.202,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 \n",
" 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 \n",
" 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 \n",
" 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 272.201,1075.41 \n",
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],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.2, 0.4, 0.8, 1.0]\n",
"stressData=[0.0, 2e5 ,4e5, 6e5, -1]"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
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],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.1, 0.5, 0.9, 1.0]\n",
"stressData=[0.0, 1e5 ,5e5, 4e5, -1]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
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],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.1, 0.5, 0.9, 1.0]\n",
"stressData=[0.0, 1e5,5e5,6e5, -1]"
]
},
{
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"metadata": {},
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"source": []
},
{
"cell_type": "code",
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"metadata": {},
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}
],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 0.1, 0.5, 0.9, 1.0];\n",
"stressData=[0.0, 1e5,5e5,10e5, -1];"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 446,
"metadata": {},
"outputs": [
{
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" 376.478,1315.33 386.169,1313.13 395.859,1310.49 405.55,1307.58 415.24,1304.48 424.931,1301.27 434.621,1297.99 444.312,1294.66 454.002,1291.29 463.693,1287.91 \n",
" 473.383,1284.51 483.073,1281.11 492.764,1277.7 502.454,1274.3 512.145,1270.91 521.835,1267.52 531.526,1264.13 541.216,1260.73 550.907,1257.35 560.597,1254.02 \n",
" 570.288,1250.68 579.978,1247.31 589.669,1243.87 599.359,1240.39 609.05,1236.85 618.74,1233.26 628.431,1229.55 638.121,1225.61 647.812,1221.44 657.502,1217.03 \n",
" 667.193,1206.59 676.883,1196.98 686.574,1187.55 696.264,1178.11 705.955,1168.53 715.645,1158.68 725.336,1148.62 735.026,1138.38 744.717,1128.01 754.407,1117.58 \n",
" 764.098,1107.1 773.788,1096.6 783.479,1342.1 793.169,1342.16 802.86,1342.56 812.55,1342.97 822.241,1343.12 831.931,1343.21 841.621,1343.34 851.312,1343.72 \n",
" 861.002,1343.86 870.693,1344.01 880.383,1344.73 890.074,1344.89 899.764,1345.1 909.455,1345.12 919.145,1345.61 928.836,1345.77 938.526,1345.98 948.217,1346.18 \n",
" 957.907,1346.62 967.598,1346.93 977.288,1347.16 986.979,1347.72 996.669,1348.35 1006.36,1348.33 1016.05,1348.79 1025.74,1349.11 1035.43,1349.85 1045.12,1349.79 \n",
" 1054.81,1350.59 1064.5,1351.01 1074.19,1351.45 1083.88,835.344 1093.57,1351.86 1103.26,823.348 1112.96,817.287 1122.65,1353.99 1132.34,1354.12 1142.03,798.455 \n",
" 1151.72,1354.28 1161.41,1355.08 1171.1,1355.3 1180.79,1355.98 1190.48,766.847 1200.17,1357.2 1209.86,1357.4 1219.55,1357.46 1229.24,1357.72 1238.93,1358.17 \n",
" 1248.62,1359.1 1258.31,1359.21 1268,1359.86 1277.69,1359.87 1287.38,1360.52 1297.07,1360.4 1306.76,1360.85 1316.46,1360.58 1326.15,1361.38 1335.84,1361.53 \n",
" 1345.53,1361.47 1355.22,1361.39 1364.91,1361.27 1374.6,1361.44 1384.29,601.914 1393.98,1362.66 1403.67,1362.49 1413.36,1362.38 1423.05,1362.48 1432.74,1363.44 \n",
" 1442.43,546.76 1452.12,1363.7 1461.81,531.695 1471.5,1363.68 1481.19,1364.54 1490.88,1364.09 1500.57,1364.4 1510.27,1365.11 1519.96,1365 1529.65,1365.22 \n",
" 1539.34,1365.25 1549.03,1366.13 1558.72,444.203 1568.41,1365.61 1578.1,429.191 1587.79,1365.82 1597.48,1366.07 1607.17,1365.75 1616.86,1365.91 1626.55,1366.42 \n",
" 1636.24,1366.17 1645.93,1366.19 1655.62,1366.03 1665.31,1366.23 1675,1367.12 1684.69,1366.9 1694.38,1366.83 1704.07,1367.07 1713.77,288.373 1723.46,1366.87 \n",
" 1733.15,1366.31 1742.84,1366.46 1752.53,1366.78 1762.22,1366.15 1771.91,1366.2 1781.6,1365.85 1791.29,1366.89 1800.98,1366.05 1810.67,1366.01 1820.36,1365.56 \n",
" 1830.05,1365.47 1839.74,159.909 1849.43,1366.05 1859.12,1366.39 1868.81,1366.09 1878.5,1366.59 1888.19,1366.43 1897.88,1366.4 1907.57,1365.9 1917.27,1366.97 \n",
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"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
"strainData=[0.0, 1.0*0.1, 1.0*0.2, 1.0*0.4, 1.0*0.6, 1.0*0.8, 1.0*0.95, -1.0];\n",
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},
{
"cell_type": "code",
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"source": [
"plotStressStrainTroughTimeSteps(name,245)#38\n",
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},
{
"cell_type": "code",
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"source": [
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{
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"source": [
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},
{
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"source": [
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},
{
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"source": [
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},
{
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"source": [
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},
{
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"source": [
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},
{
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{
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"source": [
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},
{
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" \"/>\n",
"</svg>\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotStressStrainTroughTimeSteps(name,245)#38"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [],
"source": [
"strainData=[0.0,0.1,0.5, 0.7, 0.95, -1];\n",
"stressData=[0.0,1e5,5e5, 10e5, 6e5, -1];"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"basicStress: 100000.0\n",
"modulus: 1.0e6\n",
"m: 135192.30769230766\n",
"\n",
"basicStress: -500000.00000000023\n",
"modulus: 2.5000000000000005e6\n",
"m: -675961.5384615386\n",
"\n",
"basicStress: 1.96e6\n",
"modulus: -1.6e6\n",
"m: 2.649769230769231e6\n",
"\n",
"basicStress: 338461.10256410256\n",
"modulus: 307692.8205128205\n",
"m: 457573.37519723864\n",
"\n"
]
}
],
"source": [
"strainn=0.1\n",
"nu=0.3\n",
"DataCount =6\n",
"poisson=true\n",
"transverseStrainSumm=0.001\n",
"\n",
"for i = 3:DataCount #(i=2; i<DataCount; i++) #go through each segment in the material model (skipping the first segment because it has already been handled.\n",
" if (strainn <= strainData[i] || i==DataCount) #if in the segment ending with this point (or if this is the last point extrapolate out) \n",
" Perc = (strainn-strainData[i-1])/(strainData[i]-strainData[i-1]);\n",
" basicStress = stressData[i-1] + Perc*(stressData[i]-stressData[i-1]);\n",
" println(\"basicStress: $basicStress\")\n",
" if (!poisson || nu == 0.0) \n",
" basicStress;\n",
" else #accounting for volumetric effects\n",
" modulus = (stressData[i]-stressData[i-1])/(strainData[i]-strainData[i-1]);\n",
" println(\"modulus: $modulus\")\n",
" modulusHat = modulus/((1.0-2.0*nu)*(1.0+nu));\n",
" effectiveStrain = basicStress/modulus; #this is the strain at which a simple linear stress strain line would hit this point at the definied modulus\n",
" effectiveTransverseStrainSum = transverseStrainSumm*(effectiveStrain/strainn);\n",
" m=modulusHat*((1.0-nu)*effectiveStrain + nu*effectiveTransverseStrainSum);\n",
" println(\"m: $m\")\n",
" println()\n",
" \n",
" end\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 451,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6-element Array{Float64,1}:\n",
" 0.0\n",
" 25000.0\n",
" 50000.0\n",
" 75000.0\n",
" 90000.0\n",
" -1.0"
]
},
"execution_count": 451,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"strainData=[0.0, 1.0*0.25, 1.0*0.5, 1.0*0.75, 1.0*0.9, -1]\n",
"stressData=[0.0, 1e5*0.25, 1e5*0.5, 1e5*0.75, 1e5*0.9, -1]"
]
},
{
"cell_type": "code",
"execution_count": 452,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Perc: -0.6\n",
"basicStress: 10000.0\n",
"modulus: 100000.0\n",
"m: 13519.230769230768\n",
"\n",
"Perc: -1.6\n",
"basicStress: 10000.0\n",
"modulus: 100000.0\n",
"m: 13519.230769230768\n",
"\n",
"Perc: -4.333333333333333\n",
"basicStress: 10000.000000000007\n",
"modulus: 99999.99999999999\n",
"m: 13519.230769230779\n",
"\n",
"Perc: 0.4210526315789474\n",
"basicStress: 52104.84210526315\n",
"modulus: 47368.94736842105\n",
"m: 70441.73846153845\n",
"\n"
]
}
],
"source": [
"strainn=0.1\n",
"nu=0.3\n",
"DataCount =6\n",
"poisson=true\n",
"transverseStrainSumm=0.001\n",
"\n",
"for i = 3:DataCount #(i=2; i<DataCount; i++) #go through each segment in the material model (skipping the first segment because it has already been handled.\n",
" if (strainn <= strainData[i] || i==DataCount) #if in the segment ending with this point (or if this is the last point extrapolate out) \n",
" Perc = (strainn-strainData[i-1])/(strainData[i]-strainData[i-1]);\n",
" println(\"Perc: $Perc\")\n",
" basicStress = stressData[i-1] + Perc*(stressData[i]-stressData[i-1]);\n",
" println(\"basicStress: $basicStress\")\n",
" if (!poisson || nu == 0.0) \n",
" basicStress;\n",
" else #accounting for volumetric effects\n",
" modulus = (stressData[i]-stressData[i-1])/(strainData[i]-strainData[i-1]);\n",
" println(\"modulus: $modulus\")\n",
" modulusHat = modulus/((1.0-2.0*nu)*(1.0+nu));\n",
" effectiveStrain = basicStress/modulus; #this is the strain at which a simple linear stress strain line would hit this point at the definied modulus\n",
" effectiveTransverseStrainSum = transverseStrainSumm*(effectiveStrain/strainn);\n",
" m=modulusHat*((1.0-nu)*effectiveStrain + nu*effectiveTransverseStrainSum);\n",
" println(\"m: $m\")\n",
" println()\n",
" \n",
" end\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 518,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3\n",
"Perc: -0.5\n",
"basicStress: 2500.0\n",
"modulus: 100000.0\n",
"m: 3423.0769230769233\n",
"\n",
"4\n",
"Perc: -0.5\n",
"basicStress: 5000.0\n",
"modulus: 100000.0\n",
"m: 6788.461538461538\n",
"\n",
"5\n",
"Perc: -0.16666666666666674\n",
"basicStress: 14999.999999999998\n",
"modulus: 100000.0\n",
"m: 20250.0\n",
"\n",
"6\n",
"Perc: -2.0000000000000004\n",
"basicStress: 9999.999999999993\n",
"modulus: 100000.00000000003\n",
"m: 13519.230769230759\n",
"\n",
"7\n",
"Perc: -2.9999999999999982\n",
"basicStress: 10000.000000000036\n",
"modulus: 99999.99999999997\n",
"m: 13519.230769230817\n",
"\n",
"8\n",
"Perc: 0.9736842105263159\n",
"basicStress: 2367.447368421039\n",
"modulus: 47368.94736842105\n",
"m: 3185.510659492843\n",
"\n"
]
}
],
"source": [
"strainData=[0.0, 1.0*0.1, 1.0*0.4, 1.0*0.6, 1.0*0.8, 1.0*0.9, 1.0*0.95, -1.0]\n",
"stressData=[0.0, 1, 0.8, 0.5, 0.2, 0.1, 0.01, -1.0e-5].*1e5\n",
"\n",
"strainData=[0.0, 1.0*0.25, 1.0*0.4, 1.0*0.6, 1.0*0.75, 1.0*0.8, 1.0*0.9, -1]\n",
"stressData=[0.0, 1e5*0.25, 1e5*0.4, 1e5*0.6, 1e5*0.75, 1e5*0.8, 1e5*0.9, -1]\n",
"\n",
"strainData=[0.0, 1.0*0.05, 1.0*0.1, 1.0*0.2, 1.0*0.5, 1.0*0.7, 1.0*0.9, -1]\n",
"stressData=[0.0, 1e5*0.05, 1e5*0.1, 1e5*0.2, 1e5*0.5, 1e5*0.7, 1e5*0.9, -1]\n",
"\n",
"strainn=0.1\n",
"nu=0.3\n",
"DataCount =dataPointCount\n",
"poisson=true\n",
"transverseStrainSumm=0.001\n",
"\n",
"for i = 3:DataCount #(i=2; i<DataCount; i++) #go through each segment in the material model (skipping the first segment because it has already been handled.\n",
" println(i)\n",
" strainn=(strainData[i]-strainData[i-1])/2\n",
" if (strainn <= strainData[i] || i==DataCount) #if in the segment ending with this point (or if this is the last point extrapolate out) \n",
" Perc = (strainn-strainData[i-1])/(strainData[i]-strainData[i-1]);\n",
" println(\"Perc: $Perc\")\n",
" basicStress = stressData[i-1] + Perc*(stressData[i]-stressData[i-1]);\n",
" println(\"basicStress: $basicStress\")\n",
" if (!poisson || nu == 0.0) \n",
" basicStress;\n",
" else #accounting for volumetric effects\n",
" modulus = (stressData[i]-stressData[i-1])/(strainData[i]-strainData[i-1]);\n",
" println(\"modulus: $modulus\")\n",
" modulusHat = modulus/((1.0-2.0*nu)*(1.0+nu));\n",
" effectiveStrain = basicStress/modulus; #this is the strain at which a simple linear stress strain line would hit this point at the definied modulus\n",
" effectiveTransverseStrainSum = transverseStrainSumm*(effectiveStrain/strainn);\n",
" m=modulusHat*((1.0-nu)*effectiveStrain + nu*effectiveTransverseStrainSum);\n",
" println(\"m: $m\")\n",
" println()\n",
"\n",
" end\n",
" end\n",
"end\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
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