Large deflection analysis of plates and cylindrical shells by an efficient four-node flat element with mesh distortions

Nguyen-Van, H. and Nguyen-Hoai, N. and Chau-Dinh, T. and Tran-Cong, T. (2015) Large deflection analysis of plates and cylindrical shells by an efficient four-node flat element with mesh distortions. Acta Mechanica, 226 (8). pp. 2693-2713. ISSN 0001-5970

Abstract

This study reports an improved finite element computational model using a flat four-node element
for nonlinear bending analysis of plates and cylindrical shells with element distortions. The vonKármán’s large
deflection theory and the total Lagrangian approach are employed in the formulation to describe small strain
geometric nonlinearity with large deformations using the first-order shear deformation theory. The most important
feature of the developed element is the evaluation of linear membrane bending and nonlinear geometric
stiffnessmatrices based on integration along the boundary of smoothing elements. This technique can give more
accurate numerical integrations even with badly shaped elements or coarse meshes when compared to other
flat elements using domain integration techniques. The accuracy and predictive capability of the present model
is demonstrated by several numerical investigations and comparative studies with analytical/experimental and
other numerical solutions available in the literature.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version due to publisher's copyright policy.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Date Deposited: 13 Nov 2015 06:15
Last Modified: 27 Jul 2016 05:51
Fields of Research : 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Identification Number or DOI: 10.1007/s00707-015-1339-x
URI: http://eprints.usq.edu.au/id/eprint/28049

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