Colloquia Patavina: Twist-Kirchhoff model for plate bending problems

Martedi' 18 Gennaio 2011 - prof.ssa Donatella Marini


Martedi' 18 Gennaio 2011 alle ore 16:00 in aula 1A150 della Torre Archimede la Professoressa Donatella Marini (Universita' di Pavia) terra' una conferenza della serie Colloquia Patavina.

La Commissione Colloquia
M.A. Garuti, M. Pavon, P. Ciatti, F. Rossi

Twist-Kirchhoff model for plate bending problems

Donatella Marini (Universita' di Pavia)

We introduce a new framework for the development of thin plate finite elements, the “twist-Kirchhoff theory.” A family of quadrilateral 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 quadrilateral 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 for the rectangular configuration. These are also generalized to the higher-order elements in the family. Numerical tests corroborate the theoretical results.

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