Continuum mechanics and thermodynamics in the theory of cracking

1 January 1994

journal article
research article
Published by Taylor & Francis in Philosophical Magazine A

Vol. 69 (1) , 33-43
https://doi.org/10.1080/01418619408242208

Abstract

In a series of at least four theoretical papers, Stevens and Guiu have claimed to have invalidated the accepted continuum mechanics derivation of the Orowan—Irwin equation for elastic fracture; and to have discovered paradoxes in thermo-dynamic formulations. The purpose of this paper is to reassure readers of the continued validity of accepted theories. A first principles thermodynamic derivation of the Orowan—Irwin equation is given; and the validity of the continuum mechanics treatment is substantiated. A postscript includes a little thermodynamic philosophy.

Keywords

This publication has 4 references indexed in Scilit:

Quasistatic crack propagation in nonlinear structures
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Quasi-static crack propagation
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1967
Delayed fracture in glass
Proceedings of the Physical Society, 1947
VI. The phenomena of rupture and flow in solids
Philosophical Transactions of the Royal Society A, 1921