Axisymmetric shell model using a three-field dual-mixed variational principle | Zendy

Balázs Tóth | Zendy

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Axisymmetric shell model using a three-field dual-mixed variational principle

Author(s) -

Balázs Tóth

Publication year - 2014

Publication title -

journal of computational and applied mechanics

Language(s) - English

Resource type - Journals

eISSN - 2732-0189

pISSN - 1586-2070

DOI - 10.32973/jcam.2014.006

Subject(s) - variational principle , rotational symmetry , shell (structure) , dual (grammatical number) , field (mathematics) , physics , geometry , classical mechanics , mathematics , engineering , philosophy , mechanical engineering , pure mathematics , linguistics

A dimensionally reduced axisymmetric shell model using a three-field complementary energy-based variational principle set up in terms of non-symmetric stresses, rotations and displacements is derived. Considering axisymmetrically loaded shells of revolution, a special form of the three-dimensional variational principle of Hellinger-Reissner is obtained and applied for the derivation of the Euler-Lagrange equations and natural boundary conditions of the shell model. Mathematical Subject Classification:

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