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A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems. (English) Zbl 0833.73057
A formulation is presented for the finite element treatment of multibody large deformation frictional contact problems. A novel aspect of the approach is that the equations governing contact are obtained in the continuum setting before deriving the corresponding finite element equations. The approach yields a characterization of the frictional constraint (assuming the Coulomb law) suitable for arbitrary discretizations in either two or three dimensions. The approach includes exact linearization of the virtual work formulation, which provides optimal convergence properties for Newton-Raphson solution strategies, and which appears to be highly desirable for the general robustness of implicit finite element techniques. A variety of examples in both two and three dimensions are presented.
Reviewer: J.Prakash (Bombay)

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories of plasticity
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