Crack Propagation in a Brittle Elastic Material With Defects-Reference-Cited by-同舟云学术

Crack Propagation in a Brittle Elastic Material With Defects

Published:1999-03-01 Issue:1 Volume:66 Page:79-86
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Valentini M.¹,Serkov S. K.²,Bigoni D.¹,Movchan A. B.³

Affiliation:

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

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

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

Abstract

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 Po´lya-Szego¨ 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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/66/1/79/5465937/79_1.pdf

Reference16 articles.

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