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Analytical shape sensitivity computation using hybrid finite elements

Bakshi, P and Pandey, PC (1999) Analytical shape sensitivity computation using hybrid finite elements. In: Computers and Structures, 70 (3). pp. 281-297.

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This paper presents an algorithm for the determination of analytical shape sensitivities using hybrid finite elements. Based on the modified Hellinger-Reissner principle, expressions for analytical shape sensitivity are derived explicitly and the same have been implemented using a hybrid scheme of numerical and symbolic computation. Presented in a two dimensional, linear elastic context, the derivations are expected to yield better displacement and stress derivatives. Illustrations are given to demonstrate the applicability of the proposed approach and the results are verified with convergent finite difference values. (C) 1998 Elsevier Science Ltd. All rights reserved.

Item Type: Journal Article
Publication: Computers and Structures
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Analytical shape sensitivity;Modified Hellinger-Reissner variational principle;Hybrid finite elements;Symbolic compu- tation.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 27 Feb 2009 08:35
Last Modified: 19 Sep 2010 04:59
URI: http://eprints.iisc.ac.in/id/eprint/17907

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