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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:246

Article

Graca, Ana¹  Cardoso, Rui P. R.¹  Yoon, Jeong Whan^1,2 

[1] Univ Aveiro, Ctr Mech Technol & Automat TEMA, P-3810193 Aveiro, Portugal

[2] Swinburne Univ Technol, Fac Engn & Ind Sci, Australian Adv Mfg Res Ctr, Hawthorn, Vic 3122, Australia

关键词: Meshless methods;    EFG;    B-bar;    EAS;    Subspace analysis;   

DOI  :  10.1016/j.cam.2012.09.013

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free