AuthorsP. Hansbo and M. G. Larson
TitleFinite element modeling of a linear membrane shell problem using tangential differential calculus
AfilliationCenter for Biomedical Computing (SFF), Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2014
JournalComputer Methods in Applied Mechanics and Engineering
Volume270
Pagination1 - 14
Publisher
ISSN0045-7825
KeywordsFinite element method
Abstract

Abstract We construct a new Galerkin finite element method for the membrane elasticity problem on a meshed surface by using two-dimensional elements extended into three dimensions. The membrane finite element model is established using a tangential differential calculus approach that avoids the use of classical differential geometric methods. The finite element method generalizes the classical flat element shell method where standard plane stress elements are used for membrane problems. This makes our method applicable to a wider range of problems and of surface descriptions, including surfaces defined by distance functions.

URLhttp://www.sciencedirect.com/science/article/pii/S0045782513003216
DOI10.1016/j.cma.2013.11.016
Citation Key23425