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Consistent time integration for transient three‐dimensional contact using the NTS‐method

The present work aims to investigate stable time integrators for large deformation contact problems within the framework of the well known node‐to‐segment (NTS)‐method. For this kind of problem, standard time integrators fail to conserve the total energy of the system. To remedy this drawback, we combine a mixed method with the concept of a discrete gradient applied to the aforementioned NTS‐method. In the context of nonlinear elastodynamics stable integrators for ordinary differential equations have been extensively developed and investigated during the last two decades. For contact problems, energy consistent integrators have been developed for the NTS‐method (see e.g. Ref. [1]). (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)