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Engineering Notes on Concepts of the Finite Element Method for Elliptic Problems Read chapter Read first chapter

2020 | OriginalPaper | Chapter

A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity

Authors : Nils Viebahn, Jörg Schröder, Peter Wriggers

Published in: Novel Finite Element Technologies for Solids and Structures

Publisher: Springer International Publishing

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Abstract

The proposed work extends the well-known assumed stress elements to the framework of hyperelasticity. In order to obtain the constitutive relationship, a nonlinear set of equations is solved implicitly on element level. A numerical verification, where two assumed stress elements are compared to classical enhanced assumed strain elements, depicts the reliability and efficiency of the proposed concept. This work is closely related to the publication of Viebahn et al. (2019)

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previous chapter Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity
next chapter A Fully Nonlinear Beam Model of Bernoulli–Euler Type
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Metadata
Title
A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity
Authors
Nils Viebahn
Jörg Schröder
Peter Wriggers
Copyright Year
2020
Book
Novel Finite Element Technologies for Solids and Structures

Print ISBN: 978-3-030-33519-9

Electronic ISBN: 978-3-030-33520-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-33520-5_4

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