http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31613

New rectangular plate elements based on twist-Kirchhoff theory (Articolo in rivista)

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New rectangular plate elements based on twist-Kirchhoff theory (Articolo in rivista) (literal)

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Brezzi F., Evans J.A., Hughes T.J.R., Marini L.D. (2011)
New rectangular plate elements based on twist-Kirchhoff theory
in Computer methods in applied mechanics and engineering
(literal)

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Istituto Universitario di Studi Superiori, Pavia; Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R., Pavia; Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, U.S.A.; Dipartimento di Matematica, Università di Pavia. (literal)

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Abstract

We introduce a new framework for the development of thin plate finite elements, the \"twist-Kirchhoff theory\". A family of rectangular plate elements is derived that takes advantage of the special structure of this new theory. Particular attention is focused on the lowest-order member of the family, an eight degree-of-freedom, four-node element with mid-side rotations whose stiffness matrix is exactly computed with one-point Gaussian quadrature. We prove a convergence theorem for it and various error estimates. These are also generalized to the higher-order elements in the family. Numerical tests corroborate the theoretical results. (literal)

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