Abstract
This chapter establishes the framework for deriving constitutive models that is provided by thermodynamics. The chapter starts with the first and second laws of thermodynamics. The chapter then discusses thermo-elastic materials and inelastic materials. It also discusses various ways of establishing evolution laws that fulfill the mechanical dissipation inequality such as direct approach, Onsager approach, and potential approach. The chapter also considers homogeneous potential function, convex potential function, and postulate of maximum dissipation. The chapter explains that the first law of thermodynamics places no restrictions on constitutive modeling; it turns into the heat equation, which determines the temperature distribution within the body. The heat equation turns out to involve a new material parameter—the specific heat capacity.
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