An application of a master-slave algorithm for solving 3D contact problems between deformable bodies in forming processes

We consider a finite element approximation of frictional contact problem between deformable bodies undergoing large deformations. The fully 3D mechanical coupling problem is expressed with a mixed velocity-pressure formulation. The multi-bodies contact problem is set as a linear complementary problem solved by a penalty method. The corresponding nonpenetration condition is approximated using a finite element meshes which do not necessarily fit on the contact zone. The local approach used to take into account unilateral contact on non-matching meshes is an extension of the master-slave algorithm. The mechanical system is solved using iterative methods. The associatedmodel and algorithm are implemented inside the 3D software Forge3®. The selected application is the process of viscoplastic metal forging.

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