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Enabling the Analysis of Topologically Connected Multi-Patch Trimmed NURBS Shells in LS-DYNA

In 2005, the term “Isogeometric Analysis” (IGA) was introduced by Hughes et al. [1]. Since then, reams of scientific research work has been devoted to this new finite element technology, whose main idea is to use the same geometrical description during the finite element analysis (FEA) that was previously used during the design process in the computer-aided design (CAD) environment. The most widely used and best understood mathematical description in CAD is based on non-uniform rational B-splines (NURBS). Hence NURBS-based shell and solid finite elements have been developed and implemented into LS-DYNA over the last few years. Although NURBS-based solids are available, the remainder of the paper will exclusively focus on isogeometric shell element formulations in LS-DYNA.