Clausius-Duhem inequality for thermoelasticity
For thermoelastic materials, the internal energy is a function only of the deformation gradient and the temperature, i.e., . Show that, for thermoelastic materials, the Clausius-Duhem inequality
can be expressed as
|
Proof:
Since , we have
Therefore,
Now, . Therefore, using the
identity , we have
Hence,
or,