An application of a master-slave algorithm for solving 3D contact problems between deformable bodies in forming processes
Keywords:
contact, friction, master-slave algorithm, finite element, deformable bodies, penalty formulationAbstract
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 R. The selected application is the process of viscoplastic metal forging.
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