Constitutive Modeling in Mechanics and Thermomechanics
Abstract
The constitutive equations for a particular material, together with the conservation laws of mass, linear momentum, angular momentum, and energy, govern the response of that material. Unlike the conservation laws, however, the constitutive equations vary from material to material. In other words, they depend on the physical behavior of the particular material being modeled. In this chapter, we provide a broad overview of constitutive modeling in mechanics and thermomechanics. We describe how the constitutive equations must satisfy the second law of thermodynamics, conservation of angular momentum, material symmetry requirements, and invariance under superposed rigid ...
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