Finite elastic deformations
When elastic response under arbitrary deformation gradients is considered—because rotations, if not…
Thermodynamic considerations
In thermodynamic terminology, a state of purely elastic material response corresponds to…
Thermal strains
Temperature change can also cause strain. In an isotropic material the thermally…
Stress-strain relations
Linear elastic isotropic solid The simplest type of stress-strain relation is that…
Finite deformation and strain tensors
In the theory of finite deformations, extension and rotations of line elements…
Small-strain tensor
The small strains, or infinitesimal strains, εij are appropriate for situations with…
Geometry of deformation
Strain and strain-displacement relations The shape of a solid or structure changes…
Equations of motion
Now the linear momentum principle may be applied to an arbitrary finite…
Linear and angular momentum principles: stress and equations of motion
Let x denote the position vector of a point in space as…


