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

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

Authors

Ana Gra�a

Ana Graca

Rui P.R. Cardoso

Jeong Whan Yoon



Abstract

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

Citation

Graça, A., Graca, A., Cardoso, R. P., & Yoon, J. W. (2013). Subspace analysis to alleviate the volumetric locking in the 3D solid-shell EFG method. Journal of Computational and Applied Mathematics, 246, 185-194. https://doi.org/10.1016/j.cam.2012.09.013

Journal Article Type Article
Publication Date Jan 1, 2013
Journal Journal of Computational and Applied Mathematics
Print ISSN 0377-0427
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 246
Pages 185-194
DOI https://doi.org/10.1016/j.cam.2012.09.013
Keywords meshless methods, EFG, B-bar, EAS, subspace analysis
Public URL https://uwe-repository.worktribe.com/output/930305
Publisher URL http://dx.doi.org/10.1016/j.cam.2012.09.013
Additional Information Additional Information : Available online before print: 23rd September, 2012




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