Skip to main content

Research Repository

Advanced Search

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

Alves de Sousa, Ricardo J.; Fontes Valente, Robertt A.; Gr�cio, Jos� J.; Natal Jorge, Renato M.; Valente, Robert; Cardoso, Rui P.R.; Yoon, Jeong Whan

Authors

Ricardo J. Alves de Sousa

Robertt A. Fontes Valente

Jos� J. Gr�cio

Renato M. Natal Jorge

Robert Valente

Rui P.R. Cardoso

Jeong Whan Yoon



Abstract

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. Copyright © 2004 John Wiley & Sons, Ltd.

Citation

Natal Jorge, R. M., Grácio, J. J., Fontes Valente, R. A., Alves de Sousa, R. J., Cardoso, R. P., Valente, R., & Yoon, J. W. (2005). A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part I - Geometrically linear applications. International Journal for Numerical Methods in Engineering, 62(7), 952-977. https://doi.org/10.1002/nme.1226

Journal Article Type Article
Publication Date Feb 21, 2005
Journal International Journal for Numerical Methods in Engineering
Print ISSN 0029-5981
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 62
Issue 7
Pages 952-977
DOI https://doi.org/10.1002/nme.1226
Keywords finite element method, solid-shell, reduced integration,
enhanced assumed strain, physical stabilization,
thin-shell structure
Public URL https://uwe-repository.worktribe.com/output/1051344
Publisher URL http://dx.doi.org/10.1002/nme.1226




Downloadable Citations