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A thin cracked layer bonded to an elastic half-space under an antiplane concentrated load

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Abstract

The antiplane elasticity problem for a thin cracked layer bonded to an elastic half-space under an antiplane concentrated load is considered. The fundamental solution is obtained as a rapidly convergent series in terms of the complex potentials via iterations of Möbius transformation. The singular integral equation with a logarithmic singular kernel is derived to model a crack problem that can be solved numerically in a straightforward manner. The dimensionless mode-III stress intensity factors obtained for various crack inclinations and crack lengths are discussed in detail and provided in graphic form. A strip problem with an arbitrarily oriented crack is also considered.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Taiwan Institute of Technology, 43, Keelung Road, Sect. 4, Taipei, 106, Taiwan, R. O. C.

    C.K. Chao & B. Kao

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  1. C.K. Chao
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  2. B. Kao
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Chao, C., Kao, B. A thin cracked layer bonded to an elastic half-space under an antiplane concentrated load. International Journal of Fracture 83, 223–241 (1997). https://doi.org/10.1023/A:1007316332362

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  • DOI: https://doi.org/10.1023/A:1007316332362

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