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

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1. Verfasser: Acharya, Amit
Format: Preprint
Veröffentlicht: 2024
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author Acharya, Amit
author_facet Acharya, Amit
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_19914
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Second Law as a constraint and admitting the approximate nature of constitutive assumptions
Acharya, Amit
Classical Physics
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.
title The Second Law as a constraint and admitting the approximate nature of constitutive assumptions
topic Classical Physics
url https://arxiv.org/abs/2412.19914