研究了薄弹性层与在其上滑动的冲头相互磨损的三维问题

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI:10.1016/j.jappmathmech.2016.05.012

I.A. Soldatenkov

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引用次数: 1

摘要

考虑了一个薄弹性层与在其上滑动的绝对刚体之间的三维接触相互作用问题，假设两者都有磨损。解由傅里叶级数表示，其系数以显式形式表示。研究了大时间接触压力的渐近性。论证了考虑接触体相互磨损因素的重要性。

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The three-dimensional problem on the mutual wear of a thin elastic layer and a punch sliding on it

A three-dimensional problem on the contact interaction between a thin elastic layer and an absolutely rigid body sliding over it is considered where wear of both bodies is assumed. The solution is represented by a Fourier series, the coefficients of which are found in an explicit form. The asymptotics of the contact pressure for large times are investigated. The importance of taking the factor of the mutual wear of the contacting bodies into account is demonstrated.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.