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"</svg>\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"source": [
"strainData=[0.0,0.1,0.5, 0.7, 0.95, -1];\n",
"stressData=[0.0,1e5,5e5, 10e5, 6e5, -1];"
]
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"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"
]
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