Friction interaction of elastic bodies with unspecified contact zones

Keywords

frictional interaction, contact pressure, friction, elastic body, integral equation method, quadratic programming.

Cite as

Kushnir R. M. and Soliar O. I. Friction interaction of elastic bodies with unspecified contact zones. Physicochemical Mechanics of Materials. 2025. 61(2), 064-074.

https://doi.org/10.15407/pcmm2025.02.064

Abstract

An efficient method for solving the frictional contact problem of two interacting elastic bodies is proposed. The approach is based on a numerical-analytical algorithm using Signorini’s method of integral equations-inequalities, which is subsequently reduced to a quadratic programming problem. Using the developed algorithm, the contact pressure was determined for various levels of mutual penetration for a wide range of friction coeffi­cients and Poisson’s ratios. The accuracy of the obtained numerical results was investiga­ted, It was demonstrated that, for the case of a smooth punch, the computed numerical solution agrees well with the analytical solution available in the literature. For frictional contact cases, the validity of the results was verified by analyzing the deformed surface shapes of the interacting bodies under the computed contact pressures. It was established that these computed surface shapes satisfy the contact conditions under which the problem formulation was solved. The proposed algorithm enables the solu­tion of frictional kine­matic contact problems for two interacting bodies with controlled accuracy.

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