The analysis of thick plates considering a new meshless method

• Type: Article in International Conference Proceedings Book
• Date: 2012

Authors

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

Conference proceedings International

Title: ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Pages: 1850-1857

6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012

Vienna, 10 September 2012 through 14 September 2012

Indexing

ISI Web of Knowledge

Scopus - 0 Citations

Other information

Authenticus ID: P-008-8AC

Abstract (EN): In this work a new meshless method for the analysis of thick plates is proposed. The natural neighbour concept is used to enforce the nodal connectivity. The natural neighbour concept it is also used to construct the background integration mesh, completely dependent on the nodal distribution, and simultaneously obtain, for each interest point, the respective influence domain. Therefore, resorting to Voronoï cells, a set of triangular interdependent relations is created departing from an unstructured set of nodes. The Delaunay triangles, which are the dual of the Voronoï cells, are used to create a node-depending background mesh used in the numerical integration of the proposed meshless interpolation functions. Used in the Galerkin weak form, the interpolation functions, which possess the delta Kronecker property, are constructed with a simple Euclidian-norm basis and an optional polynomial basis. The interpolation function construction is simple and its derivatives are easily obtained. In order to define the displacement field and the strain field the Reissner-Mindlin equivalent single layer plate deformation theory is considered. Well-known benchmark examples are solved in order to prove the high accuracy and convergence rate of the proposed method. Examples prove that the proposed meshless method is flexible and accurate.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8