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Mathematics and Mechanics of Solids
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A Fracture Criterion of "Barenblatt" Type for an Intersonic Shear Crack

Y. A. Antipov

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
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