A catenoidal patch test for the inextensional bending of thin shell finite elements

DOI10.1016/0045-7825(91)90195-CzbMath0742.73020OpenAlexW1972057974MaRDI QIDQ1191105

Argiris Kamoulakos

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0045-7825(91)90195-c

zbMATH Keywords

reduced integrationcritical sizecatenoid of revolutionconstant inextensional bendingdistorted modeGauss point stressesnodal stressesNovoshilov'squadratic Mindlin isoparametric shell elementsquadratic thin shell Sanders-type finite elementSander's shell theoriesstress resultsundistorted modes

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items

Unnamed Item, Membrane locking in the finite element computation of very thin elastic shells

Cites Work

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• Inextensional bending in shells of explicit cubic representation
• Inextensional bending of a shell triangular element in quadratic parametric representation
• Bending of bilinear quadrilateral shell elements
• Finite element criteria for some shells
• A curvilinear triangular finite element for plate bending by a hybrid method of assumed displacements supplemented with assumed stresses
• Understanding and improving the reduced integration of Mindlin shell elements
• Analysis of developable shells with special reference to the finite element method and circular cylinders
• The static–geometric analogy in the equations of thin shell structures
• Theory of Shell Structures
• Fortran computer program for inextensional bending of a doubly curved shell triangular element
• POLYNOMIAL STRESS STATES IN FIRST APPROXIMATION THEORY OF CIRCULAR CYLINDRICAL SHELLS