Figure 1and 2show typical stress-strain relationships of the ligament and bone respectively.

The stress-strain relationship of soils, and therefore the shearing strength, is affected by:

Starting with the stress-strain relationship for an isotropic solid in Einstein notation:

Low carbon steel generally exhibits a very linear stress-strain relationship up to a well defined yield point (Fig.2).

In the elastic case we assume a stress-strain relationship of the form:

This is the stress-strain relationship in the one-dimensional case.

Unlike Fig.2, the stress-strain relationship in Fig.1 represents the behavior of annealed steel sheet.

Microscopically, the stress-strain relationship of materials is in general governed by the Helmholtz free energy, a thermodynamic quantity.

These properties can be expressed in terms of stress-strain relationships with rate as an additional parameter.

For high stress states/short time periods, the time derivative components of the stress-strain relationship dominate.