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Linear Analysis of Shells with Meshless Methods

Grant number: 09/04525-5
Support type:Scholarships in Brazil - Master
Effective date (Start): August 01, 2009
Effective date (End): September 30, 2010
Field of knowledge:Engineering - Civil Engineering - Structural Engineering
Principal Investigator:Paulo de Mattos Pimenta
Grantee:Jorge Carvalho Costa
Home Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil


This research project will develop linear shell models from the respective geometrically exact models, which were elaborated by the advisor in the last few years. These models will be obtained by consistent linearization of the nonlinear models. The initial curved shell geometry will be regarded as a deformation from a planar reference configuration, as described in a recent article published in 2009 by the advisor in the International Journal for Numerical Methods in Engineering. The developed models will be implemented with the aid of the Meshless Method, known as Element-free Galerkin Method, which uses the Moving Least Squares Method. The main advantage of this method is the higher order of continuity of the approximation. The smooth shell geometry and the stresses will have a much better approximation. The possibility of exact description of the initial geometry is also open. Several numerical tests will be performed in order to show the effectiveness and robustness of the method.

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
COSTA, JORGE C.; TIAGO, CARLOS M.; PIMENTA, PAULO M. Meshless analysis of shear deformable shells: the linear model. COMPUTATIONAL MECHANICS, v. 52, n. 4, p. 763-778, OCT 2013. Web of Science Citations: 5.
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
COSTA, Jorge Carvalho. Análise linear de cascas com Método de Galerkin Livre de Elementos.. 2010. Master's Dissertation - Universidade de São Paulo (USP). Escola Politécnica São Paulo.

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