This Article Full Text (PDF) References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in Web of Science Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Web of Science (2) Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Antipov, Y. A. Articles by Willis, J. R. Search for Related Content Social Bookmarking                         What's this?

A Fracture Criterion of "Barenblatt" Type for an Intersonic Shear Crack

Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA

O. Obrezanova

J. R. Willis

University of Cambridge, Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 OWA, UK

Steady-state intersonic propagation of a shear crack is considered, with the admission of cohesion across the crack faces. The asymptotic limit of "small-scale cohesion". which occurs when the magmitude of the cohesive stress far exceeds that of the applied stress, is developed explicitly to obtain a criterion ot "Barenblatt" type. The application of this criterion requires only the calculation of the "applied" stress intensity coefficient with cohesion disregarded: an equation of motion follows by equating this coefficient to a modulus of cohesion" which depends on the cohesive model that is employed. An explicit formula for the "modulus of cohesion" is given for the special case of a cohesive zone of Dugdale type.

Key Words: intersonic crack propagation • cohesion model • fracture criterion

Mathematics and Mechanics of Solids, Vol. 9, No. 3, 271-283 (2004)
DOI: 10.1177/1081286504038457


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?