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The Unilateral Discrete Contact Problem for a Functionally Graded Elastic Strip

IF 0.3 Q4 MECHANICS
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI:10.3103/s0027133024700080
A. A. Bobylev
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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.

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功能分级弹性带的单侧离散接触问题
摘要 本文研究了表面微凹凸的有限维刚性冲头对功能分级带材的压痕问题。利用将接触应力映射为位移的 Poincaré-Steklov 算子给出了问题的边界变式。为了逼近该算子，应用了离散傅立叶变换。位移变换的边界值问题的变分公式用于计算传递函数。确定了接触相互作用的一些规律性。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Moscow University Mechanics Bulletin
Moscow University Mechanics Bulletin MECHANICS-
CiteScore
0.60
自引率
0.00%
发文量
9
期刊介绍： Moscow University Mechanics Bulletin  is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.
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