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A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness - Part II: Nonlinear 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

In this work the recently proposed Reduced Enhanced Solid-Shell (RESS) finite element, based on the enhanced assumed strain (EAS) method and a one-point quadrature integration scheme, is extended in order to account for large deformation elastoplastic thin-shell problems. One of the main features of this finite element consists in its minimal number of enhancing parameters (one), sufficient to circumvent the well-known Poisson and volumetric locking phenomena, leading to a computationally efficient performance when compared to other 3D or solid-shell enhanced strain elements. Furthermore, the employed numerical integration accounts for an arbitrary number of integration points through the thickness direction within a single layer of elements. The EAS formulation comprises an additive split of the Green-Lagrange material strain tensor, making the inclusion of nonlinear kinematics a straightforward task. A corotational coordinate system is used to integrate the constitutive law and to ensure incremental objectivity. A physical stabilization procedure is implemented in order to correct the element's rank deficiencies. A variety of shell-type numerical benchmarks including plasticity, large deformations and contact are carried out, and good results are obtained when compared to well-established formulations in the literature. Copyright © 2006 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. (2006). A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness - Part II: Nonlinear applications. International Journal for Numerical Methods in Engineering, 67(2), 160-188. https://doi.org/10.1002/nme.1609

Journal Article Type Article
Publication Date Jul 9, 2006
Journal International Journal for Numerical Methods in Engineering
Print ISSN 0029-5981
Electronic ISSN 1097-0207
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 67
Issue 2
Pages 160-188
DOI https://doi.org/10.1002/nme.1609
Keywords quadrature, solid-shell element, reduced integration,
enhanced assumed strain method,

physical stabilization;
thin-shell structure
Public URL https://uwe-repository.worktribe.com/output/1037740
Publisher URL http://dx.doi.org/10.1002/nme.1609




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