Nonlinear analysis of plates and laminates using the element free Galerkin method

• Tipo: Artigo em Revista Científica Internacional
• Data: 2007

Autores

Belinha, J (Autor) Outra; Dinis, LMJS (Autor) FEUP

Revista

Título: Composite Structures

Vol. 78

Páginas: 337-350

ISSN: 0263-8223

Editora: Elsevier

Indexação

ISI Web of Knowledge - 35 Citações

ISI Web of Science

Scopus - 26 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia dos materiais

Outras Informações

ID Authenticus: P-004-A7J

DOI: 10.1016/j.compstruct.2005.10.007

Abstract (EN): A meshless method based in a Galerkin formulation, the element-free galerkin method (EFGM), has been extended for the use in the elastic and elasto-plastic analysis of anisotropic symmetric laminates. A Reissner-Mindlin plate theory, which is a first-order shear deformation theory (FSDT) is considered and briefly described in order to define the displacement field and the strain field. The approximation functions are calculated considering a moving least squares (MLS) approach which is consistent provided the basis is complete in the polynomials up to a desired order. A modified version of the Newton-Rapson method is used for the solution of the nonlinear system of equations and an anisotropic yield surface, Hill yield surface, is considered. The elasto-plastic algorithm of solution is described. Several problems of laminate bending are solved and the obtained solutions are compared with finite element solutions which show that the meshless approach developed is an alternative to the finite element method (FEM) for the solution of problems with material nonlinearity.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14