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Basic solution of two parallel Mode-I cracks in functionally graded materials

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Abstract

The solution of two parallel cracks in functionally graded materials subjected to a tensile stress loading is derived in this paper. To make the analysis tractable, it is assumed that the shear modulus varies exponentially with coordinate parallel to the crack. The problem is formulated through Fourier transform into four pairs of dual integral equations, in which the unknown variables are jumps of displacements across crack surfaces. To solve the dual integral equations, the jumps of displacements across crack surfaces are directly expanded as a series of Jacobi polynomials to obtain the shielding effects of the two parallel cracks in functionally graded materials.

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Authors and Affiliations

  1. Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin, 150080, China

    Jun Liang

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  1. Jun Liang
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Supported by the National Natural Science Foundation of China (Grant No. 90405016)

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Liang, J. Basic solution of two parallel Mode-I cracks in functionally graded materials. Sci. China Ser. E-Technol. Sci. 51, 1380–1393 (2008). https://doi.org/10.1007/s11431-008-0125-6

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  • DOI: https://doi.org/10.1007/s11431-008-0125-6

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