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Abstract <p>The problem of contact between an elastic body and a base covered with a deformable layer is studied. The layer is rigid-elastic; i.e., it begins to deform when the yield point is reached and exerts a normal pressure on the body, which depends on the penetration of the body into the layer. For a rigid base, the Signorini condition is used. A proof of the existence of a solution of the problem using the weak Schauder fixed point theorem is given. The results of numerical simulation using the finite element method are presented.</p>

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Solution of a Contact Problem between an Elastic Body and a Rigid Base Covered with a Deformable Material Layer

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • R. V. Namm,
  • G. I. Tsoy

摘要

Abstract

The problem of contact between an elastic body and a base covered with a deformable layer is studied. The layer is rigid-elastic; i.e., it begins to deform when the yield point is reached and exerts a normal pressure on the body, which depends on the penetration of the body into the layer. For a rigid base, the Signorini condition is used. A proof of the existence of a solution of the problem using the weak Schauder fixed point theorem is given. The results of numerical simulation using the finite element method are presented.