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Elasticity problems of a slender Z-crack

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Abstract

The configuration of a Z-shaped crack is defined by a web length, two flange lengths, and two flange-web angles. A Z-shaped crack is said to be slender if the flange-web ratios are small. These ratios may then be characterized by a slenderness parameter ε. The associated elasticity problems are solved asymptotically in terms of this small parameter. Formal asymptotic expansions are developed, and explicit procedures are given for obtaining a solution accurate to the order of ε. This solution is fundamental to the determination of the maximum energy-release rate in linear clastic fracture mechanics. Using the maximum-energy-release-rate criterion, a tension-compression specimen with a crack is studied in the accompanying paper.

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Authors and Affiliations

  1. Department of Materials Engineering, University of Illinois at Chicago Circle, Box 4348, 60680, Chicago, Illinois, USA

    Chien H. Wu

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  1. Chien H. Wu
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Supported by U.S. Army Research Office-Durham under Grant DAAG-20-76-G-0272.

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Wu, C.H. Elasticity problems of a slender Z-crack. J Elasticity 8, 183–205 (1978). https://doi.org/10.1007/BF00052482

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  • DOI: https://doi.org/10.1007/BF00052482

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