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Mode-I crack problem for functionally graded layered structures

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Abstract

This paper deals with two bonded functionally graded finite strips with two collinear cracks. Different layers may have different nonhomogeneity properties in the structure. A bi-parameter exponential function was introduced to simulate the continuous variation of material properties. The problem is solved by using the integral transform, singular integral equation methods and the theory of residues. Various internal cracks and edge crack and crack crossing the interface configurations are investigated, respectively. The asymptotic stress field near the tip of a crack crossing the interface is examined and it is shown that, unlike the corresponding stress field in piecewise homogeneous materials, in this case the “kink” in material property at the interface does not introduce any singularity. Numerical calculations are carried out, and the influences of nonhomogeneity constants, geometric parameters and crack interactions on the stress intensity factors are investigated.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Ningxia University, 750021, Yinchuan, China

    Sheng-Hu Ding & Xing Li

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  1. Sheng-Hu Ding
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  2. Xing Li
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Correspondence to Sheng-Hu Ding.

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Ding, SH., Li, X. Mode-I crack problem for functionally graded layered structures. Int J Fract 168, 209–226 (2011). https://doi.org/10.1007/s10704-010-9575-5

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  • DOI: https://doi.org/10.1007/s10704-010-9575-5

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