Implicit dynamic analysis using an iso- geometric Reissner–Mindlin shell formulation
- 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.
Author: | Paul M. Sobota, Wolfgang DornischORCiD, Ralf Müller, Sven Klinkel |
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DOI: | https://doi.org/10.1002/nme.5429 |
ISSN: | 1097-0207 |
Title of the source (English): | International Journal for Numerical Methods in Engineering |
Document Type: | Scientific journal article peer-reviewed |
Language: | English |
Year of publication: | 2017 |
Tag: | NURBS; Reissner–Mindlin shell; Structural vibrations; continuous director vector interpolation; implicit dynamics; isogeometric analysis; nonlinear material behavior |
Volume/Year: | 110 |
Issue number: | 9 |
First Page: | 803 |
Last Page: | 825 |
Faculty/Chair: | Fakultät 6 Architektur, Bauingenieurwesen und Stadtplanung / FG Statik und Dynamik |