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Mathematical programming solution for the frictional contact multiple BEM. (English) Zbl 1139.74434

Summary: This paper presents a new mathematical model for the highly nonlinear problem of frictional contact. A programming model, multipole boundary element method (BEM), was developed for 3-D elastic contact with friction to replace the Monte Carlo method. A numerical example shows that the optimization programming model for the point-to-surface contact with friction and the fast optimization generalized minimal residual algorithm (GMRES(m)) significantly improve the analysis of such problems relative to the conventional BEM.

MSC:

74M15 Contact in solid mechanics
74S15 Boundary element methods applied to problems in solid mechanics
90C30 Nonlinear programming
65N38 Boundary element methods for boundary value problems involving PDEs
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