A new meshless method applied to the analysis of 3D structures

• 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: 1781-1788

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-008-8AF

Abstract (EN): In the last couple decades meshless methods, enlarge their application field and are today a competitive and alternative numerical method. The new meshless method proposed in this work uses the natural neighbour concept in order to enforce the nodal connectivity. With the natural neighbour concept it is possible to construct the background integration mesh, completely dependent on the nodal distribution, and simultaneously obtain, for each interest point, the respective influence domain. 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 linear elasticity three-dimensional deformation assumptions are 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