Crack Propagation in a Brittle Elastic Material With Defects

[+] Author and Article Information
M. Valentini, D. Bigoni

Department of Mechanical and Structural Engineering, Faculty of Engineering, University of Trento, Via Mesiano 77, 38050 Povo, Trento, Italy

S. K. Serkov

Department of Mathematics, University of Utah, Salt Lake City, UT 84112

A. B. Movchan

Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK

J. Appl. Mech 66(1), 79-86 (Mar 01, 1999) (8 pages) doi:10.1115/1.2789172 History: Received July 29, 1996; Revised August 03, 1998; Online October 25, 2007


A two-dimensional asymptotic solution is presented for determination of the trajectory of a crack propagating in a brittle-elastic, isotropic medium containing small defects. Brittleness of the material is characterized by the assumption of the pure Mode I propagation criterion. The defects are described by Pólya-Szegö matrices, and examples for small elliptical cavities and circular inclusions are given. The results of the asymptotic analysis, which agree well with existing numerical solutions, give qualitative description of crack trajectories observed in brittle materials with defects, such as porous ceramics.

Copyright © 1999 by The American Society of Mechanical Engineers
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