On crack stability in a thermoelastic body
type: Item
instance of: scholarly article
title: On crack stability in a thermoelastic body
zbMATH Open document ID: 0789.73056
DOI: 10.1016/0093-6413(91)90044-W
author: O.-L. Olaosebikan
published in: Mechanics Research Communications
publication date: 1992-06-28T00:00:00Z
review text: As mentioned by the author, it is an abbreviated paper. The crack problem is modelled as a non-equilibrium thermodynamic process for which the following hypotheses are introduced: (i) the usual conservation laws for mass, linear and angular momenta, as well as the laws of thermodynamics are valid; (ii) the crack is regarded as a region of material discontinuity whose surface therefore represents a singular surface; (iii) material properties such as specific internal energy, entropy etc. are defined separately for points within the volume and those on the inner and outer surfaces. With this model, the author shows that the stability conditions for dynamic crack propagation can be obtained by means of suitably selected Lyapunov functions.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 34595
zbMATH Keywords: non-equilibrium thermodynamic process
zbMATH Keywords: conservation laws
zbMATH Keywords: material discontinuity
zbMATH Keywords: singular surface
zbMATH Keywords: Lyapunov functions
reviewed by: K. S. Parihar
MaRDI profile type: Publication
full work available at URL: 0093-6413(91)90044-w
OpenAlex ID: W1994968481
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description: scientific article; zbMATH DE number 34595