Decomposition method for dynamic contact problems of several deformable bodies

Abstract

The iterative method of Schwarz domain decomposition (DDS) was used as a dynamic contact algorithm for two and more contacting 3D bodies allowing the consideration of the solution of the stress-strain state problem in the standard statement for each of the contacting body and the high-level parallelization of the solution process. According to the offered iteration algorithm, two steps are performed in each iteration, where the contact conditions for the displacement and stresses are fulfilled in turn for the nodes on the contact surface. The specific feature of the realization of the dynamic contact problem was the combination of the iteration procedures for the refinement of the contact problem solution according to the Newton-Raphson algorithm with the iterations of the DDS method. As the test calculation results have shown, the use of the Schwarz contact algorithm and the HHT-α scheme in combination with the mass redistribution method on the contact boundary is a reliable, stable and sufficiently accurate way for the numerical integration of the contact problems at impact interaction. Finally, accuracy of the proposed method is verified by a conservation of momentum through three contact examples.