The contact problem with the bulk application of intermolecular interaction forces: the influence function for an elastic ‘layer–half-space’ system

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2016-01-01 DOI:10.1016/j.jappmathmech.2016.09.011

I.A. Soldatenkov

引用次数: 5

Abstract

The formulation of the contact problem in the presence of bulk forces of intermolecular interaction of contacting bodies is examined. Principal attention is paid to the construction and analysis of the properties of the influence function (Green's function) for an elastic base consisting of a half-space and a layer adhered to it. The behaviour of this function with small and large values of the argument is studied. A numerical analysis of the dependence of the influence function on certain parameters of contact is carried out.

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大量应用分子间相互作用力的接触问题:弹性“层-半空间”体系的影响函数

研究了接触体分子间相互作用的体积力存在时接触问题的公式。本文主要研究了由半空间和附着层构成的弹性地基的影响函数(格林函数)的构造和性质分析。研究了该函数在参数值较大和较小时的行为。数值分析了影响函数对接触参数的依赖关系。

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

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.