Isotropic Cauchy-elastic Materials
For an isotropic material the Cauchy stress tensor can be expressed as a function of the left Cauchy-Green tensor . The constitutive equation may then be written:
In order to find the restriction on which will ensure the principle of material frame-indifference, one can write:
A constitutive equation that respects the above condition is said to be isotropic.
Read more about this topic: Cauchy Elastic Material
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