Analysis of Plates and Laminates by the Element Free Galerkin,

• Type: Article in International Scientific Journal
• Date: 2006

Authors

J. Belinha (Author) Other; Lúcia Maria Dinis (Author) FEUP

Journal

Title: Computers and Structures

Vol. 84 No. 3

Pages: 1547-1559

ISSN: 0045-7949

Publisher: Elsevier

Indexing

ISI Web of Science

Scientific classification

CORDIS: Technological sciences

Other information

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 a good alternative to the Finite Element Method (FEM) for the solution of problems with material nonlinearity.

Language: Portuguese

Type (Professor's evaluation): Scientific