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Two Nonlinear Models of Brittle Fracture for Solids

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Abstract

This paper considers isotropic and orthotropic nonlinear constitutive relations for brittle materials in the case of plane stresses. Numerical solution algorithms based on the finite-element method are developed. The resulting material models are incorporated in the PIONER software. The correctness of crack path determination is examined by solving a test problem of crack propagation. The isotropic model gives mesh-dependent results, whereas the orthotropic model provides an adequate solution. It is shown that solutions obtained for the isotropic model are close to those obtained by eliminating failed elements.

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Authors and Affiliations

  1. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    A. V. Shutov

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  1. A. V. Shutov
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Shutov, A.V. Two Nonlinear Models of Brittle Fracture for Solids. Journal of Applied Mechanics and Technical Physics 45, 853–859 (2004). https://doi.org/10.1023/B:JAMT.0000046034.58918.e5

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  • DOI: https://doi.org/10.1023/B:JAMT.0000046034.58918.e5

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