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Singular crack-tip fields for pressure sensitive plastic solids

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Abstract

Plain strain mode-I singular plastic fields are examined for cracks embedded in pressure sensitive solids. Material response is described by a small strain deformation theory in conjunction with elliptic yield criterion and plastic potential. Non-associativity is accounted for and a pure power law is assumed to characterize strain hardening. The material does not admit a strain energy function hence it is not possible to deducea-priori theJ-integral motivated stress singularities. A standard separation of variables representation of near-tip eigenfunctions has been evaluated numerically, over a range of material parameters. It has been found that stress singularities may deviate fromJ-integral predictions, with increasing non-associativity, by up to nearly 20%. Sample illustrations are provided for singular field profiles and some aspects of pressure sensitive non- associated plasticity are discussed.

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Authors and Affiliations

  1. Faculty of Aerospace Engineering, Technion, 32000, Haifa, Israel

    David Durban

  2. Department of Civil and Environmental Engineering, University of Cyprus, 1678, Nicosia, Cyprus

    Panos Papanastasiou

Authors
  1. David Durban
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  2. Panos Papanastasiou
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Correspondence to Panos Papanastasiou.

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Durban, D., Papanastasiou, P. Singular crack-tip fields for pressure sensitive plastic solids. Int J Fract 119, 47–63 (2003). https://doi.org/10.1023/A:1023931801598

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  • DOI: https://doi.org/10.1023/A:1023931801598

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