TY - GEN A1 - Sobota, Paul M. A1 - Dornisch, Wolfgang A1 - Müller, Ralf A1 - Klinkel, Sven T1 - Implicit dynamic analysis using an iso- geometric Reissner–Mindlin shell formulation T2 - International Journal for Numerical Methods in Engineering N2 - 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. KW - isogeometric analysis KW - Reissner–Mindlin shell KW - NURBS KW - nonlinear material behavior KW - Structural vibrations KW - implicit dynamics KW - continuous director vector interpolation Y1 - 2019 UR - https://opus4.kobv.de/opus4-UBICO/frontdoor/index/index/docId/24265 SN - 1097-0207 VL - 110 IS - 9 SP - 803 EP - 825 ER -