Abstract
In this paper; the mathematical problem of the second fundamental problem of composite materials with a doubly periodic set of arbitrary shape cracks are investigated, and the interface are arbitrary smooth closed contours. At first, we establish mathematical models by using Muskhelisvili complex variable methods, change the primitive problems into searching complex stress functions which satisfy four boundary value problems and construct forms of the solution, them, under some general restrictions it is reduced to normal type singular integral equation, the unique solvability in proved mathematically.
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Communicated by Chou Huan-wen
Project supported by the National Natural Science Foundation of China
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Xing, L. On the mathematical problems of composite materials with a doubly periodic set of cracks. Appl Math Mech 14, 1143–1150 (1993). https://doi.org/10.1007/BF02456652
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DOI: https://doi.org/10.1007/BF02456652