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Finite element modeling of a linear membrane shell problem using tangential differential calculus
Högskolan i Jönköping, Tekniska Högskolan, JTH, Maskinteknik. Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
Umeå University. (Department of Mathematics and Mathematical Statistics)
2014 (engelsk)Inngår i: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 270, s. 1-14Artikkel i tidsskrift (Fagfellevurdert) 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. 

sted, utgiver, år, opplag, sider
2014. Vol. 270, s. 1-14
Emneord [en]
Membrane shell, Surface derivative, Finite element method
HSV kategori
Identifikatorer
URN: urn:nbn:se:hj:diva-22665DOI: 10.1016/j.cma.2013.11.016ISI: 000331341400001Scopus ID: 2-s2.0-84890399485OAI: oai:DiVA.org:hj-22665DiVA, id: diva2:678395
Tilgjengelig fra: 2013-12-12 Laget: 2013-12-12 Sist oppdatert: 2017-12-06bibliografisk kontrollert

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