Thermodynamic equivalence of steady-state shocks and smooth waves in general media; applications to elastic-plastic shocks and dynamic fracture
type: Item
instance of: scholarly article
title: Thermodynamic equivalence of steady-state shocks and smooth waves in general media; applications to elastic-plastic shocks and dynamic fracture
zbMATH Open document ID: 0980.74035
DOI: 10.1016/S0022-5096(97)00052-5
author: W. J. Drugan
published in: Journal of the Mechanics and Physics of Solids
publication date: 2000-03-02T00:00:00Z
review text: This fundamental paper concerns the thermodynamic equivalence between two important motions occuring in mechanics: shock waves and smooth waves. The main result states that a steady-state shock wave is thermodynamically equivalent to a steadily propagating smooth wave. The major conclusion is that the restrictions (constraints) which can be imposed on shock waves can be derived from those imposed on smooth waves. The present result generalizes some previous ones related to one-dimensional systems, and gives a solid foundation to some heuristic approaches used previously. Also, the result could be of interest for validation of some proposed models of elasto-plastic cracks.
Mathematics Subject Classification ID: 74J40
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 1389809
zbMATH Keywords: constraints
zbMATH Keywords: thermodynamic equivalence
zbMATH Keywords: shock waves
zbMATH Keywords: smooth waves
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
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full work available at URL: s0022-5096(97)00052-5
OpenAlex ID: W2043363612
Wikidata QID: Q127359068
description: scientific article; zbMATH DE number 1389809