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Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading

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Abstract

Transient elastodynamic crack analysis in two-dimensional (2D), layered, anisotropic and linear elastic solids is presented in this paper. A time-domain boundary element method (BEM) in conjunction with a multi-domain technique is developed for this purpose. Time-domain elastodynamic fundamental solutions for homogenous, anisotropic and linear elastic solids are applied in the present time-domain BEM. The spatial discretization of the boundary integral equations is performed by a Galerkin-method, while a collocation method is adopted for the temporal discretization of the arising convolution integrals. An explicit time-stepping scheme is developed to compute the unknown boundary data and the crack-opening-displacements (CODs). To show the effects of the crack configuration, the material anisotropy, the layer combination and the dynamic loading on the dynamic stress intensity factors and the scattered elastic wave fields, several numerical examples are presented and discussed.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Siegen, 57068, Siegen, Germany

    M. Wünsche & Ch. Zhang

  2. Slovak Academy of Sciences, Institute of Construction and Architecture, 84503, Bratislava, Slovakia

    J. Sladek & V. Sladek

  3. Department of Mechanical and Environmental Informatics, Institute of Technology, Tokyo, 152-8552, Japan

    S. Hirose

  4. Institute of Mechanics and Fluid Dynamics, Technische Universität Bergakademie Freiberg, 09596, Freiberg, Germany

    M. Kuna

Authors
  1. M. Wünsche
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  2. Ch. Zhang
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  3. J. Sladek
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  4. V. Sladek
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  5. S. Hirose
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  6. M. Kuna
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Correspondence to Ch. Zhang.

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Wünsche, M., Zhang, C., Sladek, J. et al. Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading. Int J Fract 157, 131–147 (2009). https://doi.org/10.1007/s10704-008-9262-y

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  • DOI: https://doi.org/10.1007/s10704-008-9262-y

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