Inverse contact problem for an elastic half-space. (July 2016)

• Record Type: Journal Article
• Authors: Galybin, A.N.
• Is Part Of: Engineering analysis with boundary elements. Volume 68(2016:Jul.)
• Page Start: 35
• Page End: 41
• Publication Date: 2016-07
• Subjects: Contact problem -- Inverse problem -- Integral equations -- Trefftz approach -- Regularisation; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.03.019
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: 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.