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Cut finite element modeling of linear membranes
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 310, 98-111 p.Article in journal (Refereed) Published
Abstract [en]

We construct a cut finite element method for the membrane elasticity problem on an embedded mesh using tangential differential calculus, i.e., with the equilibrium equations pointwise projected onto the tangent plane of the surface to create a pointwise planar problem in the tangential direction. Both free membranes and membranes coupled to 3D elasticity are considered. The discretization of the membrane comes from a Galerkin method using the restriction of 3D basis functions (linear or trilinear) to the surface representing the membrane. In the case of coupling to 3D elasticity, we view the membrane as giving additional stiffness contributions to the standard stiffness matrix resulting from the discretization of the three-dimensional continuum.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 310, 98-111 p.
Keyword [en]
Cut finite element method, Membrane shell, Embedded membrane, Tangential derivative, LFOUR MC, 1995, JOURNAL OF DIFFERENTIAL EQUATIONS, V119, P426 nsbo Peter, 2015, FINITE ELEMENTS IN ANALYSIS AND DESIGN, V102-103, P1 rman E., 2015, ArXiv e-prints
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-127238DOI: 10.1016/j.cma.2016.05.018ISI: 000384859400005OAI: oai:DiVA.org:umu-127238DiVA: diva2:1046643
Available from: 2016-11-14 Created: 2016-11-03 Last updated: 2016-11-14Bibliographically approved

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Larson, Mats G.
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