Isogeometric contact

A review

verfasst von
Laura De Lorenzis, Peter Wriggers, Thomas J.R. Hughes
Abstract

This paper reviews the currently available computational contact formulations within the framework of isogeometric analysis (IGA). As opposed to conventional Lagrange discretizations, IGA basis functions feature higher and tailorable inter-element continuity, which translates into evident advantages for the description of interacting surfaces, especially in presence of large displacements and large sliding. This has recently motivated the proposal of several isogeometric contact treatments, based on different ways to incorporate the contact contribution into the variational form of a continuum mechanics problem and to formulate its discretized version. After a brief overview of conventional and isogeometric basis functions as well as conventional contact mechanics approaches, the available isogeometric contact formulations are examined. Attention is paid to the favorable and unfavorable features they share with their finite element counterparts, as well as to the consequences stemming from the use of IGA basis functions. The main needs for future research emerging from the current state of the art are outlined.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Technische Universität Braunschweig
University of Texas at Austin
Typ
Übersichtsarbeit
Journal
GAMM Mitteilungen
Band
37
Seiten
85-123
Anzahl der Seiten
39
ISSN
0936-7195
Publikationsdatum
07.07.2014
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Allgemeine Materialwissenschaften, Allgemeine Physik und Astronomie, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1002/gamm.201410005 (Zugang: Geschlossen)
 

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