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Numerical analysis of elastic contact problems using the boundary integral equation method. Part 1: Theory

โœ Scribed by B. W. Dandekar; R. J. Conant

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
739 KB
Volume
33
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

A boundary integral equation formulation for the analysis of two-dimensional elastic contact problems with friction is developed. In this formulation, the contact equations are written explicitly with both tractions and displacements retained as unknowns. These equations are arranged such that a blocked coefficient matrix results. An incremental and iterative procedure is discussed which, in the case of proportional loading, modifies only the equations in the potential contact zone. *This paper is based on a portion of the author's dissertation submitted in partial fulfillment of the requirements for the Doctor of Philosophy degree at Montana State University

๐Ÿ“œ SIMILAR VOLUMES

The boundary equation method in the thir
The boundary equation method in the third initial boundary value problem of the theory of elasticity. Part 1. Existence theorems
โœ I. Yu. Chudinovich ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 566 KB

## Abstract This work deals with four variants of boundary equations appearing if the third main initial boundary value problem is solved with the help of elastic retarded potentials. The solvability of these equations is proved, and the smoothness of their solutions researched.

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โœ I. Yu. Chudinovich ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 503 KB

## Abstract This work considers the methods for solving approximately the four types of boundary equations arising when the third initial boundary value problem of the theory of elasticity is solved with the help of retarded elastic potentials. The convergence of these methods is proved.