Static and dynamic analysis of laminated plates based on an unconstrained third order theory and using a radial point interpolator meshless method

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Dinis, LMJS (Author) FEUP; Natal Jorge, RMN (Author) FEUP; Belinha, J (Author) FEUP

Journal

Title: Computers and Structures

Vol. 89

Pages: 1771-1784

ISSN: 0045-7949

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 23 Citations

Scopus - 40 Citations

Scientific classification

FOS: Engineering and technology > Civil engineering

Other information

Authenticus ID: P-002-M4W

DOI: 10.1016/j.compstruc.2010.10.015

Abstract (EN): The Natural Neighbour Radial Point Interpolation Method (NNRPIM), an improved meshless method, is used in the numerical implementation of an Unconstrained Third-Order Plate Theory applied to laminates. The nodal connectivity and the node dependent integration background mesh are constructed resorting to the Voronoi tessellation and to the Delaunay triangulation. Within NNRPIM the obtained interpolation functions, constructed with the Radial Point Interpolators, pass through all nodes inside the influence-cell providing the interpolation functions with the delta Kronecker property. In order to prove the high accuracy and convergence rate of the proposed meshless method several well-known benchmark static and dynamic laminate examples are solved. The numerical results obtained with the NNRPIM are compared with the Unconstrained Third-Order Plate Theory exact solution, when available, and with exact solutions of other plate deformation theories.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14