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Interfacial crack-tip constraints and J-integral for bi-materials with plastic hardening mismatch

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Abstract

This paper investigates interfacial crack tip stress fields and the J-integral for bi-materials with plastic hardening mismatch via detailed elastic-plastic finite element analyses. For small scale yielding, the modified boundary layer formulation with the elastic T-stress is employed. For fully plastic yielding, plane strain single-edge- cracked specimens under pure bending are considered. Interfacial crack tip stress fields are explained by modified Prandtl slip-line fields. It is found that, for bi-materials consisting of two elastic-plastic materials, increasing plastic hardening mismatch increases both crack-tip stress constraint in the lower hardening material and the J-contribution there. The implication of asymmetric J-integral in bi-materials is also discussed.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Sogang University, Seoul, 121-742, Korea

    Hyungyil Lee

  2. Department of Mechanical Engineering, Korea University, Seoul, 136-701, Korea

    Yun-Jae Kim

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  1. Hyungyil Lee
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  2. Yun-Jae Kim
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Correspondence to Hyungyil Lee.

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Lee, H., Kim, YJ. Interfacial crack-tip constraints and J-integral for bi-materials with plastic hardening mismatch. Int J Fract 143, 231–243 (2007). https://doi.org/10.1007/s10704-006-9025-6

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  • DOI: https://doi.org/10.1007/s10704-006-9025-6

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