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A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: part I - geometrically linear applications

Version 2 2024-06-03, 17:05
Version 1 2017-05-17, 13:59
journal contribution
posted on 2024-06-03, 17:05 authored by RJ Alves de Sousa, RPR Cardoso, RA Fontes Valente, Jeong YoonJeong Yoon, JJ Grácio, RM Natal Jorge
Accuracy and efficiency are the main features expected in finite element method. In the field of low-order formulations, the treatment of locking phenomena is crucial to prevent poor results. For three-dimensional analysis, the development of efficient and accurate eight-node solid-shell finite elements has been the principal goal of a number of recent published works. When modelling thin- and thick-walled applications, the well-known transverse shear and volumetric locking phenomena should be conveniently circumvented. In this work, the enhanced assumed strain method and a reduced in-plane integration scheme are combined to produce a new eight-node solid-shell element, accommodating the use of any number of integration points along thickness direction. Furthermore, a physical stabilization procedure is employed in order to correct the element's rank deficiency. Several factors contribute to the high computational efficiency of the formulation, namely: (i) the use of only one internal variable per element for the enhanced part of the strain field; (ii) the reduced integration scheme; (iii) the prevention of using multiple elements' layers along thickness, which can be simply replaced by any number of integration points within a single element layer. Implementation guidelines and numerical results confirm the robustness and efficiency of the proposed approach when compared to conventional elements well-established in the literature.

History

Journal

International journal for numerical methods in engineering

Volume

62

Pagination

952-977

Location

Chichester, Eng.

ISSN

0029-5981

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2004, John Wiley & Sons, Ltd

Issue

7

Publisher

Wiley

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