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<p>This paper discusses axisymmetric contact problems of pressing absolutely rigid stamps in the form of bodies of revolution into a homogeneous elastic half-space with static friction. It is assumed that the contact zone is circular with a radius that is not known in advance. Using rotation operators, the problem solution is reduced to a singular integral equation of the second kind with variable coefficients. Based on the theory of the analytic functions, a closed solution in quadratures is constructed. Some important special cases of the problem are considered. Using numerical calculations, the patterns of change in the radius of the contact zone, contact stresses and rigid displacement of the stamp are determined depending on the maximum value of the friction coefficient.</p>

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On an axisymmetric contact problem for a half-space with a variable contact region in the presence of static friction

  • 期刊论文

  • 发表日期：

    2025年9月15日

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  • V. N. Hakobyan,
  • L. L. Dashtoyan,
  • H. A. Amirjanyan,
  • L. V. Hakobyan

摘要

This paper discusses axisymmetric contact problems of pressing absolutely rigid stamps in the form of bodies of revolution into a homogeneous elastic half-space with static friction. It is assumed that the contact zone is circular with a radius that is not known in advance. Using rotation operators, the problem solution is reduced to a singular integral equation of the second kind with variable coefficients. Based on the theory of the analytic functions, a closed solution in quadratures is constructed. Some important special cases of the problem are considered. Using numerical calculations, the patterns of change in the radius of the contact zone, contact stresses and rigid displacement of the stamp are determined depending on the maximum value of the friction coefficient.