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Crack analysis in unidirectionally and bidirectionally functionally graded materials

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Abstract

Mixed-mode crack analysis in unidirectionally and bidirectionally functionally graded materials is performed by using a boundary integral equation method. To make the analysis tractable, the Young's modulus of the functionally graded materials is assumed to be exponentially dependent on spatial variables, while the Poisson's ratio is assumed to be constant. The corresponding boundary value problem is formulated as a set of hypersingular traction boundary integral equations, which are solved numerically by using a Galerkin method. The present method is especially suited for straight cracks in infinite FGMs. Numerical results for the elastostatic stress intensity factors are presented and discussed. Special attention of the analysis is devoted to investigate the effects of the material gradients and the crack orientation on the elastostatic stress intensity factors.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Applied Sciences Zittau/Görlitz, D-02763, Zittau, Germany

    Chuanzeng Zhang

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

    Jan Sladek & Vladimir Sladek

Authors
  1. Chuanzeng Zhang
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  2. Jan Sladek
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  3. Vladimir Sladek
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Zhang, C., Sladek, J. & Sladek, V. Crack analysis in unidirectionally and bidirectionally functionally graded materials. International Journal of Fracture 129, 385–406 (2004). https://doi.org/10.1023/B:FRAC.0000049495.13523.94

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  • DOI: https://doi.org/10.1023/B:FRAC.0000049495.13523.94

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