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Thermodynamic considerations
In thermodynamic terminology, a state of purely elastic material response corresponds to an equilibrium state,…
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Thermal strains
Temperature change can also cause strain. In an isotropic material the thermally induced extensional strains…
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Stress-strain relations
Linear elastic isotropic solid The simplest type of stress-strain relation is that of the linear…
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Finite deformation and strain tensors
In the theory of finite deformations, extension and rotations of line elements are unrestricted as…
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Small-strain tensor
The small strains, or infinitesimal strains, εij are appropriate for situations with |∂uk/∂Xl|<< 1 for…
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Geometry of deformation
Strain and strain-displacement relations The shape of a solid or structure changes with time during…
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Equations of motion
Now the linear momentum principle may be applied to an arbitrary finite body. Using the…
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Stress
Assume that F and M derive from two types of forces, namely, body forces f,…
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Linear and angular momentum principles: stress and equations of motion
Let x denote the position vector of a point in space as measured relative to…
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Basic Principles
In addressing any problem in continuum or solid mechanics, three factors must be considered: (1)…