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Modelling and Control in Contact Mechanics

Organizers:
Mircea Sofonea (Universite de Perpignan, France) and Dan Tiba (IMAR, Bucharest, Romania)

Abstract:
Phenomena of contact between deformable bodies or between deformable and rigid bodies abound in industry and everyday life. Contact of braking pads with wheels, tires with roads, pistons with skirts are just a few simple examples. Common industrial processes such as metal forming, metal extrusion, involve contact evolutions. Owing to their inherent complexity, contact phenomena are modeled by nonlinear evolutionary problems involving a high degree of difficulty.

In this workshop we discuss new models for contact problems expressed in terms of variational and hemivariational inequalities. We pay a particular attention to the analysis of these models, including existence and uniqueness results. We also investigate optimal control and shape optimization problems associated to such models. In addition, we deal with the analysis of approximation schemes including convergence results of the discrete solutions, optimal error estimates and construction of reliable algorithms with guaranteed convergence.