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Asymptotic Stress Field in a Degenerate Orthotropic Material Containing a Cohesive Zone ahead of a Crack Tip

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Abstract

Complex variable and eigenfunction expansion methods are used to derive elastic stress fields near the cohesive zone of a crack aligned with principal axes of a degenerate orthotropic material. Asymptotic field terms are obtained using coordinate rescaling and transformation techniques. The stress fields do not have stress singularity. Variations of stress components associated with the first-order or dominant stress terms are discussed in detail.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of South Carolina, Columbia, SC, 29208, USA

    Wei Zhang & Xiaomin Deng

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  1. Wei Zhang
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  2. Xiaomin Deng
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Correspondence to Xiaomin Deng.

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Zhang, W., Deng, X. Asymptotic Stress Field in a Degenerate Orthotropic Material Containing a Cohesive Zone ahead of a Crack Tip. J Elasticity 90, 271–282 (2008). https://doi.org/10.1007/s10659-007-9143-z

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  • DOI: https://doi.org/10.1007/s10659-007-9143-z

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