@misc{SobotaDornischMuelleretal., author = {Sobota, Paul M. and Dornisch, Wolfgang and M{\"u}ller, Ralf and Klinkel, Sven}, title = {Implicit dynamic analysis using an iso- geometric Reissner-Mindlin shell formulation}, series = {International Journal for Numerical Methods in Engineering}, volume = {110}, journal = {International Journal for Numerical Methods in Engineering}, number = {9}, issn = {1097-0207}, doi = {10.1002/nme.5429}, pages = {803 -- 825}, abstract = {In isogeometric analysis, identical basis functions are used for geometrical representation and analysis. In this work, non-uniform rational basis splines basis functions are applied in an isoparametric approach. An isogeometric Reissner-Mindlin shell formulation for implicit dynamic calculations using the Galerkin method is presented. A consistent as well as a lumped matrix formulation is implemented. The suitability of the developed shell formulation for natural frequency analysis is demonstrated by a numerical example. In a second set of examples, transient problems of plane and curved geometries undergoing large deformations in combination with nonlinear material behavior are investigated. Via a zero-thickness stress algorithm for arbitrary material models, a J2-plasticity constitutive law is implemented. In the numerical examples, the effectiveness, robustness, and superior accuracy of a continuous interpolation method of the shell director vector is compared with experimental results and alternative numerical approaches.}, language = {en} }