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An isogeometric element formulation for linear two-dimensional elasticity based on the Airy equation

  • The aim of this work is to derive a formulation for linear two-dimensional elasticity using just one degree of freedom. This degree of freedom is used to directly discretize the Airy bipotential equation, which requires higher order basis functions. Isogeometric structural analysis is based on shape functions of the geometry description in Computer-Aided design software. These shape functions can easily fulfill the continuity requirement of the bipotential equation. Thus, an Airy element formulation can be obtained through isogeometric methods. In this contribution Non-Uniform Rational B-splines are used to discretize the domain and to solve the occurring differential equations. Numerical examples demonstrate the accuracy of the evolved formulation for a quadratic plate under different load situations.

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Metadaten
Author: Susanne HeldORCiD, Wolfgang DornischORCiD, Nima AziziORCiD
URL:https://yic2021.upv.es/book-of-abstracts/
ISBN:978-84-9048-969-7
Title of the source (English):Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference
Publisher:Editorial Universitat Politècnica de València
Place of publication:Valencia, Spanien
Editor: Enrique Nadal Soriano, Carmen Rodrigo Cardiel, José Martinez Casas
Document Type:Conference publication peer-reviewed
Language:English
Year of publication:2022
Tag:Airy equation; Isogeometric Analysis; NURBS; element formulation; two-dimensional elasticity
First Page:118
Faculty/Chair:Fakultät 6 Architektur, Bauingenieurwesen und Stadtplanung / FG Statik und Dynamik
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