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

Javili A, Mcbride A, Steinmann P, Reddy BD (2014)

Publication Type: Journal article

Publication year: 2014

Journal

Computational Mechanics Springer Verlag (Germany)

Book Volume: 54

Pages Range: 745-762

Journal Issue: 3

DOI: 10.1007/s00466-014-1030-4

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. © 2014 Springer-Verlag Berlin Heidelberg.

Authors with CRIS profile

Ali Javili Lehrstuhl für Technische Mechanik (LTM) Paul Steinmann Lehrstuhl für Technische Mechanik (LTM)

Involved external institutions

University of Cape Town (UCT) ZA South Africa (ZA)

How to cite

APA:

Javili, A., Mcbride, A., Steinmann, P., & 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), 745-762. https://doi.org/10.1007/s00466-014-1030-4

MLA:

Javili, Ali, et al. "A unified computational framework for bulk and surface elasticity theory: A curvilinear-coordinate-based finite element methodology." Computational Mechanics 54.3 (2014): 745-762.

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