A highly efficient membrane finite element with drilling degrees of freedom

DOI10.1007/s00707-009-0279-8zbMath1307.74065OpenAlexW1984846344MaRDI QIDQ1958595

Justin Murin, Stephan Kugler, Peter A. Fotiu

Publication date: 4 October 2010

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-009-0279-8

zbMATH Keywords

Cosserat continuumassumed strain methodHu-Washizu variational principle

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Membranes (74K15)

Related Items (7)

Four-node generalized conforming membrane elements with drilling DOFs using quadrilateral area coordinate methods ⋮ Dynamic finite element formulation for Cosserat elastic plates ⋮ Explicit dynamics of shells with a flat‐facet triangular finite element ⋮ A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation ⋮ A finite element based on the strain approach using Airy's function ⋮ Thermo-elasticity in shell structures made of functionally graded materials ⋮ A new method applied to the quadrilateral membrane element with vertex rigid rotational freedom

Uses Software

• LS-DYNA

Cites Work

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• A class of mixed assumed strain methods and the method of incompatible modes

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