A thin cracked layer bonded to an elastic half-space under an antiplane concentrated load |
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Authors: | C.K. Chao B. Kao |
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Affiliation: | (1) Department of Mechanical Engineering, National Taiwan Institute of Technology, 43, Keelung Road, Sect. 4, Taipei, 106, Taiwan, R. O. C. |
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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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Keywords: | M?bius transformation heterogenization. |
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