Inverse contact problem for an elastic half-space

被引：2

作者：

Galybin, A. N. ^{[1
]}

机构：

[1] Schmidt Inst Phys Earth, Moscow, Russia

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2016年 / 68卷

基金：

俄罗斯基础研究基金会;

关键词：

Contact problem; Inverse problem; Integral equations; Trefftz approach; Regularisation; BOUNDARY-ELEMENT METHOD; CAUCHY-PROBLEM;

D O I：

10.1016/j.enganabound.2016.03.019

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a system of integral equations for the determination of contact stresses on a part of the boundary of elastic half-space by measured data of displacements on the rest of the stress-free boundary. Inverse problems like this are refereed to as conditionally ill-posed with pronounced dependence of the solution from small perturbations in measured data. The 3D problem formulation is based on spatial harmonic functions. It is proposed to use a Trefftz-type method for the sought harmonic functions based on the radial basis functions to solve the system of integral equations. A synthetic example is presented to illustrate the proposed approach. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：35 / 41

页数：7

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