A CRACK PROBLEM WITH A BROKEN LINE INTERFACE

Citation:

Lu Jianke,Erdogan Fazil.A CRACK PROBLEM WITH A BROKEN LINE INTERFACE[J].Chinese Annals of Mathematics B,1998,19(2):229~238
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Authors:

Lu Jianke; Erdogan Fazil

Foundation:

Project supported by the National Natural Science Foundation of China.
Abstract: The equilibrium problem for the infinite elastic plane consisting of two different media is considered, in which the interface is a broken line, there is a straight crack touching the vertex of the broken line with some symmetry and the same uniform pressures are applied to both of its sides. The problem is reduced to a uniquely solvable singular integral equation on the interface and the crack. The order of singularity at the vertex is considered, which may be determined by a transcendental equation.

Keywords:

Crack, Interface, Kolosov functions, Singular integral equation

Classification:

73V35, 45E05
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