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Finite element modeling of a linear membrane shell problem using tangential differential calculus
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2014 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 270, 1-14 p.Article in journal (Refereed) Published
Abstract [en]

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.

(C) 2013 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 270, 1-14 p.
Keyword [en]
Membrane shell; Surface derivative; Finite element method
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-87152DOI: 10.1016/j.cma.2013.11.016ISI: 000331341400001OAI: oai:DiVA.org:umu-87152DiVA: diva2:711727
Available from: 2014-04-11 Created: 2014-03-24 Last updated: 2017-12-05Bibliographically approved

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Larson, Mats G
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