Elastic Constitutive Equation

The simplest is the linear elastic isotropic material (Hookean). The relations between stress  and strain is linear, returns to the original state upon removal of all external loads (elastic) and isotropic (independent of the direction of loading or orientation of specimen).

ELASTIC

Stress … Uniaxial, e.g.

           …Multiaxial tensor form

-  Loading /unloading path same

-  For every  value, there is a unique value, vice versa

-  Independent of strain rate .

 

 

 

 

 

 

Nonlinear Elastic Behavior