On the Mathematical Problems of Composite Materials with a Doubly Periodic Set of Cracks

Li Xing

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(12): 1085-1092

Li Xing. On the Mathematical Problems of Composite Materials with a Doubly Periodic Set of Cracks[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1085-1092.

Citation:

Li Xing. On the Mathematical Problems of Composite Materials with a Doubly Periodic Set of Cracks[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1085-1092.

Citation:

Li Xing. On the Mathematical Problems of Composite Materials with a Doubly Periodic Set of Cracks[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1085-1092.

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On the Mathematical Problems of Composite Materials with a Doubly Periodic Set of Cracks

Li Xing

Ningxia University, Yinchuan

Received Date: 1992-07-24
Publish Date: 1993-12-15

Abstract

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, then, under some general restrictions it is reduced to normal type singular integral equation, the unique solvability is proved mathematically.
- double period,
- crack,
- welding

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References(16)

References

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