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Add laminate stress strain function tool
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composite_calculator/lib/calculators/laminar_stress_strain_calculator.dart
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import 'dart:math'; | ||
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import 'package:composite_calculator/models/tensor_type.dart'; | ||
import 'package:linalg/matrix.dart'; | ||
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import '../models/laminar_stress_strain_input.dart'; | ||
import '../models/laminar_stress_strain_output.dart'; | ||
import '../utils/layup_parser.dart'; | ||
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class LaminarStressStrainCalculator { | ||
static LaminarStressStrainOutput calculate(LaminarStressStrainInput input) { | ||
Matrix A = Matrix.fill(3, 3); | ||
Matrix B = Matrix.fill(3, 3); | ||
Matrix D = Matrix.fill(3, 3); | ||
double thickness = input.layerThickness; | ||
List<double> layups = LayupParser.parse(input.layupSequence) ?? []; | ||
int nPly = layups.length; | ||
double e1 = input.E1; | ||
double e2 = input.E2; | ||
double g12 = input.G12; | ||
double nu12 = input.nu12; | ||
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List<double> bzi = []; | ||
List<Matrix> Q = []; | ||
for (int i = 1; i <= nPly; i++) { | ||
double bz = (-(nPly + 1) * thickness) / 2 + i * thickness; | ||
bzi.add(bz); | ||
} | ||
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for (int i = 0; i < nPly; i++) { | ||
double layup = layups[i]; | ||
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double angleRadian = layup * pi / 180; | ||
double s = sin(angleRadian); | ||
double c = cos(angleRadian); | ||
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Matrix Sep = Matrix([ | ||
[1 / e1, -nu12 / e1, 0], | ||
[-nu12 / e1, 1 / e2, 0], | ||
[0, 0, 1 / g12] | ||
]); | ||
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Matrix Qep = Sep.inverse(); | ||
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Matrix Rsigmae = Matrix([ | ||
[c * c, s * s, -2 * s * c], | ||
[s * s, c * c, 2 * s * c], | ||
[s * c, -s * c, c * c - s * s] | ||
]); | ||
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Matrix Qe = Rsigmae * Qep * Rsigmae.transpose(); | ||
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Q.add(Qe); | ||
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A += Qe * thickness; | ||
B += Qe * thickness * bzi[i]; | ||
D += Qe * (thickness * bzi[i] * bzi[i] + pow(thickness, 3) / 12); | ||
} | ||
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Matrix ABD = Matrix([ | ||
[A[0][0], A[0][1], A[0][2], B[0][0], B[0][1], B[0][2]], | ||
[A[1][0], A[1][1], A[1][2], B[1][0], B[1][1], B[1][2]], | ||
[A[2][0], A[2][1], A[2][2], B[2][0], B[2][1], B[2][2]], | ||
[B[0][0], B[0][1], B[0][2], D[0][0], D[0][1], D[0][2]], | ||
[B[1][0], B[1][1], B[1][2], D[1][0], D[1][1], D[1][2]], | ||
[B[2][0], B[2][1], B[2][2], D[2][0], D[2][1], D[2][2]] | ||
]); | ||
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Matrix ABD_inverese = ABD.inverse(); | ||
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LaminarStressStrainOutput output; | ||
if (input.tensorType == TensorType.stress) { | ||
Matrix stressVector = Matrix([ | ||
[input.N11], | ||
[input.N22], | ||
[input.N12], | ||
[input.M11], | ||
[input.M22], | ||
[input.M12], | ||
]); | ||
Matrix strainVector = ABD_inverese * stressVector; | ||
output = LaminarStressStrainOutput( | ||
tensorType: TensorType.strain, | ||
epsilon11: strainVector[0][0], | ||
epsilon22: strainVector[1][0], | ||
epsilon12: strainVector[2][0], | ||
kappa11: strainVector[3][0], | ||
kappa22: strainVector[4][0], | ||
kappa12: strainVector[5][0]); | ||
} else { | ||
Matrix strainVector = Matrix([ | ||
[input.epsilon11], | ||
[input.epsilon22], | ||
[input.epsilon12], | ||
[input.kappa11], | ||
[input.kappa22], | ||
[input.kappa12] | ||
]); | ||
Matrix stressVector = ABD * strainVector; | ||
output = LaminarStressStrainOutput( | ||
tensorType: TensorType.stress, | ||
N11: stressVector[0][0], | ||
N22: stressVector[1][0], | ||
N12: stressVector[2][0], | ||
M11: stressVector[3][0], | ||
M22: stressVector[4][0], | ||
M12: stressVector[5][0]); | ||
} | ||
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return output; | ||
} | ||
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static List<Matrix> getQMatrices(LaminarStressStrainInput input) { | ||
double thickness = input.layerThickness; | ||
List<double> layups = LayupParser.parse(input.layupSequence) ?? []; | ||
int nPly = layups.length; | ||
double e1 = input.E1; | ||
double e2 = input.E2; | ||
double g12 = input.G12; | ||
double nu12 = input.nu12; | ||
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List<double> bzi = []; | ||
List<Matrix> Q = []; | ||
for (int i = 1; i <= nPly; i++) { | ||
double bz = (-(nPly + 1) * thickness) / 2 + i * thickness; | ||
bzi.add(bz); | ||
} | ||
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for (int i = 0; i < nPly; i++) { | ||
double layup = layups[i]; | ||
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double angleRadian = layup * pi / 180; | ||
double s = sin(angleRadian); | ||
double c = cos(angleRadian); | ||
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Matrix Sep = Matrix([ | ||
[1 / e1, -nu12 / e1, 0], | ||
[-nu12 / e1, 1 / e2, 0], | ||
[0, 0, 1 / g12] | ||
]); | ||
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Matrix Qep = Sep.inverse(); | ||
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Matrix Rsigmae = Matrix([ | ||
[c * c, s * s, -2 * s * c], | ||
[s * s, c * c, 2 * s * c], | ||
[s * c, -s * c, c * c - s * s] | ||
]); | ||
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Matrix Qe = Rsigmae * Qep * Rsigmae.transpose(); | ||
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Q.add(Qe); | ||
} | ||
return Q; | ||
} | ||
} |
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116 changes: 116 additions & 0 deletions
116
composite_calculator/lib/models/laminar_stress_strain_input.dart
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import 'package:composite_calculator/models/tensor_type.dart'; | ||
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import 'analysis_type.dart'; | ||
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class LaminarStressStrainInput { | ||
double E1; | ||
double E2; | ||
double G12; | ||
double nu12; | ||
String layupSequence; | ||
double layerThickness; | ||
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TensorType tensorType; | ||
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double N11; | ||
double N22; | ||
double N12; | ||
double M11; | ||
double M22; | ||
double M12; | ||
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double epsilon11; | ||
double epsilon22; | ||
double epsilon12; | ||
double kappa11; | ||
double kappa22; | ||
double kappa12; | ||
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LaminarStressStrainInput({ | ||
this.E1 = 0, | ||
this.E2 = 0, | ||
this.G12 = 0, | ||
this.nu12 = 0, | ||
this.layupSequence = "", | ||
this.layerThickness = 0, | ||
this.tensorType = TensorType.stress, | ||
this.N11 = 0, | ||
this.N22 = 0, | ||
this.N12 = 0, | ||
this.M11 = 0, | ||
this.M22 = 0, | ||
this.M12 = 0, | ||
this.epsilon11 = 0, | ||
this.epsilon22 = 0, | ||
this.epsilon12 = 0, | ||
this.kappa11 = 0, | ||
this.kappa22 = 0, | ||
this.kappa12 = 0, | ||
}); | ||
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// Factory method to create an instance with default values | ||
factory LaminarStressStrainInput.withDefaults() { | ||
return LaminarStressStrainInput( | ||
E1: 150000, | ||
E2: 10000, | ||
G12: 5000, | ||
nu12: 0.3, | ||
layupSequence: "[0/90/45/-45]s", | ||
layerThickness: 0.125, | ||
tensorType: TensorType.stress, | ||
N11: 1, | ||
); | ||
} | ||
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Map<String, dynamic> toJson() { | ||
return { | ||
'E1': E1, | ||
'E2': E2, | ||
'G12': G12, | ||
'nu12': nu12, | ||
'layup_sequence': layupSequence, | ||
'layer_thickness': layerThickness, | ||
'tensorType': tensorType, | ||
'N11': N11, | ||
'N22': N22, | ||
'N12': N12, | ||
'M11': M11, | ||
'M22': M22, | ||
'M12': M12, | ||
'epsilon11': epsilon11, | ||
'epsilon22': epsilon22, | ||
'epsilon12': epsilon12, | ||
'kappa11': kappa11, | ||
'kappa22': kappa22, | ||
'kappa12': kappa12, | ||
}; | ||
} | ||
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// Factory method to create an instance from a JSON map | ||
factory LaminarStressStrainInput.fromJson(Map<String, dynamic> json) { | ||
return LaminarStressStrainInput( | ||
E1: (json['E1'] ?? 0).toDouble(), | ||
E2: (json['E2'] ?? 0).toDouble(), | ||
G12: (json['G12'] ?? 0).toDouble(), | ||
nu12: (json['nu12'] ?? 0).toDouble(), | ||
layupSequence: (json['layup_sequence'] ?? "").toString(), | ||
layerThickness: (json['layer_thickness'] ?? 0).toDouble(), | ||
tensorType: TensorType.values.firstWhere( | ||
(e) => e.toString() == 'TensorType.' + (json['tensorType'] ?? 'stress'), | ||
orElse: () => TensorType.stress, // Default value if not found | ||
), | ||
N11: (json['N11'] ?? 0).toDouble(), | ||
N22: (json['N22'] ?? 0).toDouble(), | ||
N12: (json['N12'] ?? 0).toDouble(), | ||
M11: (json['M11'] ?? 0).toDouble(), | ||
M22: (json['M22'] ?? 0).toDouble(), | ||
M12: (json['M12'] ?? 0).toDouble(), | ||
epsilon11: (json['epsilon11'] ?? 0).toDouble(), | ||
epsilon22: (json['epsilon22'] ?? 0).toDouble(), | ||
epsilon12: (json['epsilon12'] ?? 0).toDouble(), | ||
kappa11: (json['kappa11'] ?? 0).toDouble(), | ||
kappa22: (json['kappa22'] ?? 0).toDouble(), | ||
kappa12: (json['kappa12'] ?? 0).toDouble(), | ||
); | ||
} | ||
} |
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composite_calculator/lib/models/laminar_stress_strain_output.dart
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import 'package:composite_calculator/models/tensor_type.dart'; | ||
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class LaminarStressStrainOutput { | ||
TensorType tensorType; | ||
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double N11; | ||
double N22; | ||
double N12; | ||
double M11; | ||
double M22; | ||
double M12; | ||
double epsilon11; | ||
double epsilon22; | ||
double epsilon12; | ||
double kappa11; | ||
double kappa22; | ||
double kappa12; | ||
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LaminarStressStrainOutput({ | ||
this.tensorType = TensorType.stress, | ||
this.N11 = 0, | ||
this.N22 = 0, | ||
this.N12 = 0, | ||
this.M11 = 0, | ||
this.M22 = 0, | ||
this.M12 = 0, | ||
this.epsilon11 = 0, | ||
this.epsilon22 = 0, | ||
this.epsilon12 = 0, | ||
this.kappa11 = 0, | ||
this.kappa22 = 0, | ||
this.kappa12 = 0, | ||
}); | ||
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Map<String, double> toJson() { | ||
Map<String, double> result = {}; | ||
if (tensorType == TensorType.stress) { | ||
result.addAll({ | ||
'N11': N11, | ||
'N22': N22, | ||
'N12': N12, | ||
'M11': M11, | ||
'M22': M22, | ||
'M12': M12, | ||
}); | ||
} else { | ||
result.addAll({ | ||
'epsilon11': epsilon11, | ||
'epsilon22': epsilon22, | ||
'epsilon12': epsilon12, | ||
'kappa11': kappa11, | ||
'kappa22': kappa22, | ||
'kappa12': kappa12, | ||
}); | ||
} | ||
return result; | ||
} | ||
} |
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composite_calculator/test/laminar_stress_strain_calculator_tests.dart
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import 'package:composite_calculator/calculators/laminar_stress_strain_calculator.dart'; | ||
import 'package:composite_calculator/models/laminar_stress_strain_input.dart'; | ||
import 'package:composite_calculator/models/tensor_type.dart'; | ||
import 'package:flutter_test/flutter_test.dart'; | ||
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void main() { | ||
group('LaminarStressStrainCalculator Tests', () { | ||
test('Default input test case', () { | ||
// Arrange: Create input data with default values | ||
var input = LaminarStressStrainInput.withDefaults(); | ||
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// Act: Calculate the output using the calculator | ||
var output = LaminarStressStrainCalculator.calculate(input); | ||
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expect(output.epsilon11, closeTo(0.000017421124109966436, 1e-3)); | ||
expect(output.epsilon22, closeTo(-0.000005445220495508603, 1e-3)); | ||
expect(output.epsilon12, closeTo(4.712693325579657e-22, 1e-3)); | ||
expect(output.kappa11, closeTo(3.261347510124405e-22, 1e-3)); | ||
expect(output.kappa22, closeTo(-1.6068855629179688e-21, 1e-3)); | ||
expect(output.kappa12, closeTo(2.184974840156989e-22, 1e-3)); | ||
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}); | ||
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test('Default input test case with custom strain input', () { | ||
// Arrange: Create input data with default values | ||
var input = LaminarStressStrainInput.withDefaults(); | ||
input.tensorType = TensorType.strain; | ||
input.epsilon11 = 1e-5; | ||
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// Act: Calculate the output using the calculator | ||
var output = LaminarStressStrainCalculator.calculate(input); | ||
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expect(output.N11, closeTo(0.6361670020120725, 1e-3)); | ||
expect(output.N22, closeTo(0.19884305835010055, 1e-3)); | ||
expect(output.N12, closeTo(2.2638717237759187e-19, 1e-3)); | ||
expect(output.M11, closeTo(0, 1e-3)); | ||
expect(output.M22, closeTo(0, 1e-3)); | ||
expect(output.M12, closeTo(0, 1e-3)); | ||
}); | ||
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}); | ||
} |
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