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Finite element approximation of the elasticity spectral problem on curved domains

✍ Scribed by Erwin Hernández

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
552 KB
Volume
225
Category
Article
ISSN
0377-0427

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✦ Synopsis

We analyze the finite element approximation of the spectral problem for the linear elasticity equation with mixed boundary conditions on a curved non-convex domain. In the framework of the abstract spectral approximation theory, we obtain optimal order error estimates for the approximation of eigenvalues and eigenvectors. Two kinds of problems are considered: the discrete domain does not coincide with the real one and mixed boundary conditions are imposed. Some numerical results are presented.

📜 SIMILAR VOLUMES

Finite element stability analysis of cur
Finite element stability analysis of curved beams on elastic foundation
✍ M.R. Banan; G. Karami; M. Farshad 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 443 KB

A Finite Element (FE) formulation has been developed for the stability analysis of curved beams on elastic foundations. The element shape function adapted herein embodies the rigid as well as the deformation modes, With twelve degrees of freedom the master element can represent all possible general