Linear Elastic Material

A linear elastic material returns to its original shape after load removal and follows a linear relationship between stress and strain. This behavior is described by Hooke's law.

For small-strain analysis:

sigma = D epsilon

The linear elastic assumption is appropriate when stresses remain below the material yield limit and deformation is small. It is not appropriate for plasticity, damage, cracking, rubber-like behavior, or large deformation unless additional models are introduced.