Transient three-dimensional domain decomposition problems: Frame-indifferent mortar constraints and conserving integration

Abstract

The present work deals with transient large-deformation domain decomposition problems. The tying of dissimilar meshed grids is performed by applying the mortar method. In this connection, a reformulation of the original linear mortar constraints is proposed, which retains frame-indifference for arbitrary discretizations of the interface. Furthermore, a specific coordinate augmentation technique is proposed to make possible the design of an energy-momentum scheme. Numerical examples demonstrate the robustness and enhanced numerical stability of the newly developed energy-momentum scheme for three-dimensional problems. © 2009 John Wiley & Sons, Ltd.