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Extension of the gurson model accounting for the void size effect

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Abstract.

A continuum model of solids with cylindrical microvoids is proposed based on the Taylor dislocation model. The model is an extension of Gurson model in the sense that the void size effect is accounted for. Beside the void volume fraction f, the intrinsic material length l becomes a parameter representing voids since the void size comes into play in the Gurson model. Approximate yield functions in analytic forms are suggested for both solids with cylindrical microvoids and with spherical microvoids. The application to uniaxial tension curves shows a precise agreement between the approximate analytic yield function and the “exact” parametric form of integrals.

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Authors and Affiliations

  1. Key Laboratory of Failure Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China

    Jie Wen & Keh-Chih Hwang

  2. Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, IL61801, USA

    Yonggang Huang

Authors
  1. Jie Wen
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  2. Keh-Chih Hwang
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  3. Yonggang Huang
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Correspondence to Keh-Chih Hwang.

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The project supported by the National Natural Science Foundation of China (20020003023) and the Ministry of Education (key grant 0306)

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Wen, J., Hwang, KC. & Huang, Y. Extension of the gurson model accounting for the void size effect. ACTA MECH SINICA 21, 142–150 (2005). https://doi.org/10.1007/s10409-005-0014-1

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  • DOI: https://doi.org/10.1007/s10409-005-0014-1

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