The Second Law as a constraint and admitting the approximate nature of constitutive assumptions

Amit Acharya

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arXiv · 2412.19914

The Second Law as a constraint and admitting the approximate nature of constitutive assumptions

Amit Acharya

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Abstract

A scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discussed. An unconstrained, concave, variational principle is designed for solving the resulting mathematical problem. Cases when the Second Law becomes an over-constraint on the mechanical model, as well as when it serves as a necessary constraint, are discussed.

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Amit Acharya. 2024-12-27. The Second Law as a constraint and admitting the approximate nature of constitutive assumptions. https://arxiv.org/abs/2412.19914

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