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Авторизация |
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Murnaghan F.D. — Finite deformation of an elastic solid |
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Предметный указатель |
Addition of matrices 7
Alternating rule of multiplication 11
boundary conditions 68
Canonical form of a linear vector operator 22
Characteristic numbers 23
Circular cylinder 130
Circular tube 125 130
Cofactor matrix 8
Column vector 3
Compatibility relations 38
Completely non-isotropic medium 86
Complex field 19
Complex square 19
Compressibility 67
Compression ratio 28 37 66
Conservation of energy 55
Conservation of mass 16
Coordinates of a linear vector operator 21
Crystalline structure 80
Curvature tensor 41
Deformation 29
Determinant 8
Diagonal element 6
Diagonal matrix 7
Differential vector 2
Dilatation 30
Dimension of a matrix 6
Displacement vector 35
Divergence 48
Elastic constants 65
Elastic energy 53
Elastic symmetry 60
Element, of a matrix 2 5
Element, of area 10
Element, of volume 15
Energy of deformation 53
Energy of deformation, per unit mass 54
Energy of deformation, per unit volume 64
Equation of state 68
Equations of equilibrium 60
Equations of motion 50
Flow under tension 116
Gradient 64
Hermitian matrices 23
Homogeneous strain 42 99
Hooke's law 114
Hydrostatic stress 48 52
Hydrostatic stress, tension 48
Hysteresis effects 64
Incompressibility 68
Initial stress matrix 64
Integrated linear theory 71
Invariants 36
Isotropic medium 61
Jacobian matrix 3
Linear vector operator 18
Matrix 2
Matrix element of arc 9 12
| Matrix element of area 12
Modified stress matrix 96
Modulus of rigidity 107 110 133
Non-isotropic media 80
Non-negative linear vector operator 24
Non-singular matrix 8
Orthogonal complex vectors 20
Plane shear 11 33
Plane torsion 11
Poisson's ratio 31 103 111
Positive linear vector operator 24
Presentation of a linear vector operator 21
Pressure 48
Principal axes, of strain 32
Principal axes, of stress 47
Product of matrices 3 6
Real field 19
Reciprocal of a matrix 8
Reflexion 81
Relative extension 112
Relative magnification 29
Rigid displacement 29
Rotation matrix 18
Row vector 3
Rupturing hydrostatic tension 77
Scalar element, of arc 12
Scalar element, of area 12
Scalar matrix 37
Scalar product of matrices 52
Scalar strain 67
Scalar stress 48 64
Second-order elastic constants 86
Shear 30 33 100
Shearing force 104
Simple tension 110
Solid tube 129
Spherical cavity 124
Spherical shell 119 124
Star of a matrix 19
strain 27
Strain matrix 29
Stress 44
Stress, matrix 47
Symmetric matrices 23
Third-order elastic constants 90
torque 133 136
Torsion 30 130
Trace of a matrix 7
Transpose of a matrix 7
Uniform compression 37
Uniform dilatation 37
Unimodular matrix 20
Unit matrix 6
Unitary matrix 6
Virtual deformation 44
Virtual rigid displacement 44
Virtual translation 46
Virtual work 49 51
Young's modulus 103 111
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