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<p>An efficient method for solving the frictional contact problem of two interacting elastic bodies is proposed. The approach is based on a&#xa0;numerical-analytical algorithm using Signorini’s method of integral equations-inequalities, which is subsequently reduced to a&#xa0;quadratic programming problem. The contact pressure was determined for various levels of mutual penetration for a&#xa0;wide range of friction coefficients and Poisson’s ratios using the developed algorithm. The accuracy of the obtained numerical results was investigated. The computed numerical solution for the case of a&#xa0;smooth punch agrees well with the analytical solution available in the literature. The validity of the results for frictional contact cases was verified by analyzing the deformed surface shapes of the interacting bodies under the computed contact pressures. 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.</p>

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Friction interaction of elastic bodies with unspecified contact areas

  • 期刊论文

  • 发表日期：

    2025年9月18日

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  • R. M. Kushnir,
  • O. I. Soliar

摘要

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. The contact pressure was determined for various levels of mutual penetration for a wide range of friction coefficients and Poisson’s ratios using the developed algorithm. The accuracy of the obtained numerical results was investigated. The computed numerical solution for the case of a smooth punch agrees well with the analytical solution available in the literature. The validity of the results for frictional contact cases was verified by analyzing the deformed surface shapes of the interacting bodies under the computed contact pressures. 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.