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1 Acta Mechanica et Automatica

1 2011

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Stick-Slip Contact Problem of Two Half Planes with a Local Recess

Malanchuk N., Kaczyński A.

Acta Mechanica et Automatica

2011

Vol. 5, no. 4

76-81

A plane problem of frictional contact interaction between two elastic isotropic half planes one of which possesses a single shallow recess (depression) is examined in the case of successive application of remote constant normal and shear forces. The loads steps (compression, and next monotonically increasing shear loads) lead to the main contact problem with an unknown stick-slip boundary determined by the Amonton-Coulomb law. It is reduced to a Cauchy-type singular integral equation for the tangential displacement jump in the unknown sliding region. Its size is derived from an additional condition of finiteness of shear stresses at the edges of the slip zone. Considerations are carried out for some general shape of the recess. Analytical results with the characterization of the considered contact are given and illustrated for the certain form of the initial recess.