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Physically stabilised displacement-based ANS solid-shell element

Lookup NU author(s): Ini Edem, Professor Peter Gosling


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A robust reduced integration solid-shell finite element in irreducible variational formulation is demonstrated in this paper. To enable shell element-like performance using a single through-shell-thickness element layer, we apply element technologies isotropically, introducing local tri-quadratic hierarchical displacement modes thereafter systematically projected to the global coordinate frame. We also enforce uniform, bilinear and linear ANS interpolations to all local normal and shear strains respectively, imposing identical in-plane and out-of-plane element response for robust 3D thin shell deformation behaviour in non-regular, trapezoidal-shaped meshes. The hierarchical strains realised improve the element performance by complementing the locking alleviating actions of the ANS-modified membrane and shear strain fields in reduced numerical integration scheme performed along the designated shell thickness. We restrict our initial numerical investigations to geometrically linear beams, plates and shell problems solely for preliminary assessment of the element's in-plane and out-of-plane behaviour in response to the uniform modification of strains and hierarchical displacement modes introduced. To this end, the results indicate robust behaviour and comparable accuracy in comparison to mixed variational, enhanced assumed strain elements in full and in reduced integration in all structural problem classes undertaken. (C) 2013 Elsevier B.V. All rights reserved.

Publication metadata

Author(s): Edem IB, Gosling PD

Publication type: Article

Publication status: Published

Journal: Finite Elements in Analysis and Design

Year: 2013

Volume: 74

Pages: 30-40

Print publication date: 26/06/2013

ISSN (print): 0168-874X

ISSN (electronic): 1872-6925

Publisher: Elsevier BV


DOI: 10.1016/j.finel.2013.05.009


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