Finite element modeling of a linear membrane shell problem using tangential differential calculus

DOI10.1016/j.cma.2013.11.016zbMath1296.74054arXiv1203.3292OpenAlexW2039287456MaRDI QIDQ460832

Peter Hansbo, Mats G. Larson

Publication date: 9 October 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3292

zbMATH Keywords

finite element methodmembrane shellsurface derivative

Mathematics Subject Classification ID

Shells (74K25) Membranes (74K15) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (12)

A Trace Finite Element Method for Vector-Laplacians on Surfaces ⋮ Minimal surface computation using a finite element method on an embedded surface ⋮ Continuous/discontinuous finite element modelling of Kirchhoff plate structures in \(\mathbb {R}^3\) using tangential differential calculus ⋮ Stochastic modeling of geometrical uncertainties on complex domains, with application to additive manufacturing and brain interface geometries ⋮ The time-dependent generalized membrane shell model and its numerical computation ⋮ Reissner-Mindlin shell theory based on tangential differential calculus ⋮ Kirchhoff-Love shell theory based on tangential differential calculus ⋮ A finite-element/boundary-element method for three-dimensional, large-displacement fluid-structure-interaction ⋮ Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem ⋮ Higher-order meshing of implicit geometries. II: Approximations on manifolds ⋮ A Nitsche method for elliptic problems on composite surfaces ⋮ Cut finite element modeling of linear membranes

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