Robust adaptive remeshing strategy for large deformation, transient impact simulations

Abstract

SUMMARYIn this paper, an adaptive approach, with remeshing as essential ingredient, towards robust and efficient simulation techniques for fast transient, highly non-linear processes including contact is discussed. The necessity for remeshing stems from two sources: the capability to deal with large deformations that might even require topological changes of the mesh and the desire for an error driven distribution of computational resources. The overall computational approach is sketched, the adaptive remeshing strategy is presented and the crucial aspect, the choice of suitable error indicator(s), is discussed in more detail. Several numerical examples demonstrate the performance of the approach.

Two‐scale method for shear bands: thermal effects and variable bandwidth

“…Only in the last part of the response, a slight difference appears between the two meshes. A comparison with the results obtained from mesh adaptivity in Reference [8] is shown. …”

“…A uniform discretization with 800 or 1800 elements is adopted. In Reference [8], the authors recognize that their results were mesh dependent. Our model is naturally mesh independent due to the inclusion of heat conduction and sufficient resolution provided by the enrichment.…”

“…The relevant data are shown in Figure 26. The same example was simulated by Batra and Peng [47] and Erhart et al [8]. A uniform discretization with 800 or 1800 elements is adopted.…”

Finite deformation frictional mortar contact using a semi‐smooth Newton method with consistent linearization

“…the fact that the satisfaction of the contact patch test cannot be guaranteed, see [3]. We exemplarily refer to [4][5][6] for NTS applications in the context of finite deformations. Fundamentally different methods for discretizing the contact surface are segment-to-segment approaches, wherein especially the mortar method has become very popular in recent years.…”

An Algorithm for Mesh Refinement and Un-Refinement in Fast Transient Dynamics

“…The first task requires suitable error indicators, see e.g. the pioneering work of Peraire et al [1987], the comprehensive paper by Nithiarasu and Zienkiewicz [2000] and the article of Frey and Alauzet [2005], for fluid problems, or the recent paper by Erhart, Wall and Ramm [2006] on large deformation under impact, for solid problems.…”