This article is cited in 5 papers

Mechanics

A unilateral discrete contact problem for a functionally graded elastic strip

A. A. Bobylev

Moscow Center for Fundamental and Applied Mathematics

Abstract: The problem is considered for the indentation of a functionally graded strip by a rigid punch of finite dimension with a surface microrelief. Boundary variational formulations of the problem are given using the Poincaré–Steklov operator that maps contact stresses to displacements. To approximate this operator, the discrete Fourier transform is applied. A variational formulation of a boundary value problem for transforms of displacements is used to calculate a transfer function. Some regularities of contact interaction are established.

Key words: unilateral discrete contact, functionally graded strip, boundary variational inequality, Poincaré–Steklov operator.

UDC: 539.3

Received: 14.12.2023

DOI: 10.55959/MSU0579-9368-1-65-2-8

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2024, 79:2, 56–68

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