Numerical Treatment of Nonmonotone Quasi-Static Frictional Contact Problems Via D.C. Energy Decomposition and Multiphase Methods
Theoretical and numerical study of quasistatic numerical contact problems with nonmonotone Coulomb-like friction is considered through difference convex (d.c.) decomposition of the nonconvex superpotential energy function. Separate handling of convexity and concavity. whenever this information is explicitly (d.c. Hiriart-Urruty, 1985) or implicitly (quasidifferentials Demya.nov, 1989) available, is currently considered to be a reasonable approach for the study of nonconvex optimization problems, since results of convex analysis and optimization can be fully utilized. The impact of this approach on the development of numerical algorithms for frictional contact problems is studied here.
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