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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.

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Metadaten
Author: Paul M. Sobota, Wolfgang DornischORCiD, Ralf Müller, Sven Klinkel
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
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