Integral Method for Contact Problem of Bonded Plane Material with Arbitrary Cracks
Yueting Zhou; Xing Li; and Dehao Yu

doi:10.3970/cmes.2008.036.147
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 36, No. 2, pp. 147-172, 2008
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Keywords Cracks, contact, rigid punch, singular integral equation, numerical solution.
Abstract A problem for bonded plane material with a set of curvilinear cracks, which is under the action of a rigid punch with the foundation of convex shape, has been considered in this paper. Kolosov-Muskhelishvili complex potentials are constructed as integral representations with the Cauchy kernels with respect to derivatives of displacement discontinuities along the crack contours and pressure under the punch. The contact of crack faces is considered. The considered problem has been transformed to a system of complex Cauchy type singular integral equations of first and second kind. The presented approach allows to consider various configurations of cracks and the punch foundation. Numerical results for the bonded plane material with a vertical crack or a horizontal crack under the frictionless flat punch are obtained.
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