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Numerical analysis of elastic contact problems using the boundary integral equation method. Part 1: Theory
Author(s) -
Dandekar B. W.,
Conant R. J.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330710
Subject(s) - integral equation , mathematics , mathematical analysis , boundary element method , numerical analysis , matrix (chemical analysis) , iterative method , boundary (topology) , boundary value problem , summation equation , finite element method , mathematical optimization , materials science , structural engineering , engineering , composite material
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.