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| Bonet J., Wood R.D. — Nonlinear Continuum Mechanics for Finite Element Analysis |
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| Предметный указатель |
Stress tensor, Cauchy 6 96—100 123 124 129 139 140 143
Stress tensor, deviatoric 112—113
Stress tensor, first Piola — Kirchhoff 107 118
Stress tensor, Kirchhoff 106
Stress tensor, physical interpretations 108 111
Stress tensor, second Piola — Kirchhoff 10 109 110 119 122 124 127 128 131 134 135
Stress vector 172
Stretch 70
Stretch tensor 68–70
Superimposed rigid body motion 92 (see also “Objectivity”)
Surface forces, linearization of 151 (see also “Pressure forces”)
Symmetric tensor 27 41 42
Tangent matrix 17 48
Tangent matrix, assembled 180—182
Tangent matrix, constitutive component, indicial form 175
Tangent matrix, constitutive component, matrix form 177
Tangent matrix, dilatation component 184
Tangent matrix, external force component 179
Tangent matrix, initial stress component 178
Tangent matrix, mean dilatation method 182—184
Tangent matrix, source of 147 174
Tangent modulus 241
Taylor’s series expansion 46
Tensor analysis see “Gradient divergence
Tensor product 28
Tensor product, components of 31
Tensor product, properties of 29
Third order tensors 37—39
Total potential energy 14 49 154
| Trace, properties of 34
Trace, second order tensor 34
Traction vector 97 102 106
Transformation tensor 28
Transpose, second order tensor 27
Trial deformation gradient 236
Truesdell stress rate 114
Truss member 6
Two-point tensor 62 69 71 107
Uniaxial motion 60
User instructions for computer program flagshyp 192
Variational statement, Hu-Washizu 158
Variational statement, total potential energy 154
Vectors 22—26
Vectors, modulus (magnitude) of 34
Vectors, transformation of 24—26
Vectors, vector (cross) product 26
Velocity 81
Velocity gradient 83
Virtual work 15 (see also “Principle of”)
Volume change 73
Volume change, linearized 80
Volume change, rate of 90
Volumetric locking 157 158 182
Volumetric strain energy 131 140
Von Mises plasticity 238
Work conjugacy 106
WWW address xiv 192
Young’s modulus 7 42 139 143
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