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

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2025-04-22 DOI:10.1016/j.mechrescom.2025.104407

Amit Acharya

引用次数: 0

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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第二定律作为约束，并承认本构假设的近似性质

讨论了连续统热力学中把热力学第二定律当作约束和考虑本构假设近似性质的一种方案。设计了一个无约束的凹变分原理来解决由此产生的数学问题。讨论了第二定律成为力学模型的过度约束以及作为必要约束的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.