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Erschienen in:
Engineering Notes on Concepts of the Finite Element Method for Elliptic Problems Kapitel lesen Erstes Kapitel lesen

2020 | OriginalPaper | Buchkapitel

Isogeometric Analysis of Solids in Boundary Representation

verfasst von : Sven Klinkel, Margarita Chasapi

Erschienen in: Novel Finite Element Technologies for Solids and Structures

Verlag: Springer International Publishing

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Abstract

In this chapter, we present boundary-oriented numerical methods to analyze three-dimensional solid structures. For the analysis, the original geometry of the solid is employed according to the isogeometric paradigm. For the parametrization of the domain, the idea of the scaled boundary finite element method is adopted. Hence, the boundary of the solid is sufficient to describe the entire domain. The presented approaches employ analytical and numerical solution methods such as the Galerkin and collocation methods. To illustrate the applicability in the analysis procedure, three formulations are elaborated and demonstrated by means of numerical examples. The advantages compared to standard numerical methods are discussed thoroughly.

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Vorheriges Kapitel A Fully Nonlinear Beam Model of Bernoulli–Euler Type
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Metadaten
Titel
Isogeometric Analysis of Solids in Boundary Representation
verfasst von
Sven Klinkel
Margarita Chasapi
Copyright-Jahr
2020
Buch
Novel Finite Element Technologies for Solids and Structures

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

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

Copyright-Jahr: 2020

DOI
https://doi.org/10.1007/978-3-030-33520-5_6