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Theoretical investigation of elastoplastic notch fields under triaxial stress constraint

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Abstract

In this paper, an exact elastic-plastic solution has been obtained based on the J 2-deformation theory of plasticity for a plate having a circular hole under biaxial tension and triaxial stress constraint in linear elastic strain-hardening materials. The theoretical solution shows that a linear elastic solution of the equivalent strain can be used to linear elastic-power hardening plastic situation just by a simple variable replacement. Then a strain equivalent rule (SER) is proposed to predict the elastoplastic notch fields by use of the elastic solution. Validations against theoretical analyses and finite element calculation for various combinations of material properties, triaxial stress constraints, load levels show that the SER can be used to predict stress-strain distributions in the whole plastic zone effectively and conveniently.

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Authors and Affiliations

  1. Department of Aeronautical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China

    Wanlin Guo

  2. The State Key Laboratory of Mechanical Structural Strength and Vibration, Xian Jiaotong University, Xian, 710049, P.R. China (E-mail

    Wanlin Guo

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  1. Wanlin Guo
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Guo, W. Theoretical investigation of elastoplastic notch fields under triaxial stress constraint. International Journal of Fracture 115, 233–249 (2002). https://doi.org/10.1023/A:1016346008712

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  • DOI: https://doi.org/10.1023/A:1016346008712

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