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An automatic incrementation technique of the boundary element method for two-dimensional contact problems with friction. (English) Zbl 0696.73062

Computational engineering with boundary elements. Vol. 2: Solid and computational problems, Proc. 5th Int. Conf. Boundary Elem. Technol., Newark/DE (USA) 1990, 19-35 (1990).
Summary: [For the entire collection see Zbl 0695.00028.]
This paper presents an automated numerical boundary element method (BEM) for analysis of two-dimensional elastic contact problems with Coulomb friction. An iterative procedure is used to solve the governing equations. A load incrementation technique is used with a linear road scale factor. The contact condition may change from free to contact; the friction status may change from slip to adhesion; and the friction conditions may change from adhesion to slip. The change in contact status corresponding to the smallest scale factor is the only change adopted in a given iteration. The method is found to be both accurate and efficient. It is believed to be a means for studying heretofore intractable problems.

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs

Citations:

Zbl 0695.00028