Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/236580

Title

Subspace analysis to alleviate the volumetric locking in the 3D solid-shell EFG method

Author(s)

Graca, Ana;  Cardoso, Rui P. R.;  Yoon, Jeong Whan

Abstract

The main objective of this work is to reduce the volumetric locking pathology at the Element Free Galerkin (EFG) 3D solid-shell meshless method. For this purpose, a subspace analysis is performed in order to extract the linearly independent incompressible deformation modes that can be reproduced by different background integration cells. Additional deformation modes reproduced by a cell configuration produces more flexibility for the meshless formulation. The Enhanced Assumed Strain (EAS) method is blended with the EFG formulation in such a way that additional (mathematical) variables are included in the formulation increasing its flexibility for nearly incompressible materials. Three numerical examples show the effect of the EAS formulation in alleviating the locking pathology for an almost incompressible material condition.

Publication type

Journal article

Research centre

Swinburne University of Technology. Faculty of Engineering and Industrial Sciences

Source

Journal of Computational and Applied Mathematics, Vol. 246 (Jul 2013), pp. 185-194

Publication year

2013

FOR Code(s)

0102 Applied Mathematics;  0103 Numerical and Computational Mathematics;  0906 Electrical and Electronic Engineering

Keyword(s)

B-bar approach;  EAS;  EFG;  Element Free Galerkin;  Enhanced Assumed Strain;  Meshless methods;  Subspace analysis

Publisher

Elsevier

ISSN

0377-0427

Publisher URL

http://dx.doi.org/10.1016/j.cam.2012.09.013

Copyright

Copyright © 2012 Elsevier B.V. All rights reserved.

Additional information

The authors acknowledge support from the Fundacao para a Ciencia e Tecnologia (FCT), under Ph.D. grant SFRH/BD/71483/2010 and the Ministerio da Ciencia e Ensino Superior (FCT-Portugal) under PTDC/EME-TME/105237/2008.

Peer reviewed