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3.1 Stress tensor
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Introduction to Energy Geomechanics
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2.5 Further reading and
Contents
3
. Fundamentals of Solid Continuum Mechanics
Subsections
3
.
1
Stress tensor
3
.
1
.
1
Cauchy's equations of stress equilibrium
3
.
1
.
2
Application of Cauchy's equations for total vertical stress calculation
3
.
1
.
3
Continuum mechanics solution of an arbitrary problem
3
.
2
Kinematic equations: displacements and strains
3
.
3
Constitutive equation: stress-strain relationships
3
.
3
.
1
Linear isotropic elasticity
3
.
3
.
2
The isotropic solid in Voigt notation
3
.
3
.
3
Effective stress and elasticity
3
.
3
.
4
Calculation of horizontal stress according to linear elasticity
3
.
3
.
5
Calculation of reservoir compressibility with linear elasticity
3
.
3
.
6
Generalized linear elasticity problem
3
.
4
Elastic anisotropy
3
.
5
Permanent deformation: Elasto-plasticity
3
.
6
Time-dependent deformation: Visco-elasticity
3
.
7
Multiphysics problems
3
.
7
.
1
Poro-elasticity
3
.
7
.
2
Thermo-elasticity
3
.
8
Problems
3
.
9
Further reading and references