A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology

Javili, A., McBride, A. , Steinmann, P. and Reddy, B.D. (2014) A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Computational Mechanics, 54(3), pp. 745-762. (doi:10.1007/s00466-014-1030-4)

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Abstract

A curvilinear-coordinate-based finite element methodology is presented as a basis for a straightforward computational implementation of the theory of surface elasticity that mimics the underlying mathematical and geometrical concepts. An efficient formulation is obtained by adopting the same methodology for both the bulk and the surface. The key steps to evaluate the hyperelastic constitutive relations at the level of the quadrature point in a finite element scheme using this unified approach are provided. The methodology is illustrated through selected numerical examples.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McBride, Dr Andrew
Authors: Javili, A., McBride, A., Steinmann, P., and Reddy, B.D.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computational Mechanics
Publisher:Springer
ISSN:0178-7675
ISSN (Online):1432-0924
Published Online:01 May 2014
Copyright Holders:Copyright © 2014 Springer
First Published:First published in Computational Mechanics 54(3):745-762
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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