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The shielding effects of the crack-tip plastic zone

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An Erratum to this article was published on 10 August 2011

Abstract

In this paper we demonstrate that a plastically deformed zone around a stressed crack tip can be, mechanically, identified with an inclusion of transformation strain by means of Eshelby equivalent inclusion method. Thus, the shielding effect of the plastic zone can be quantitatively evaluated by the present transformation toughening theory. A closed-form solution to determine the change in the stress intensity factor induced by the plastic zone is given both for plane stress and plane strain mode I cracks under small-scale yielding conditions. By using the present solution, the effects of the strain-hardening behavior of the material, the plane stress and plane strain states and the T-stress on the crack-tip shielding effects are identified.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, 200240, Shanghai, People’s Republic of China

    P. Zhu, L. Yang & Z. Li

  2. State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, 710049, Xi’an, People’s Republic of China

    J. Sun

Authors
  1. P. Zhu
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  2. L. Yang
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  3. Z. Li
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  4. J. Sun
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Corresponding author

Correspondence to Z. Li.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s10704-011-9618-6.

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Zhu, P., Yang, L., Li, Z. et al. The shielding effects of the crack-tip plastic zone. Int J Fract 161, 131–139 (2010). https://doi.org/10.1007/s10704-009-9435-3

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  • DOI: https://doi.org/10.1007/s10704-009-9435-3

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