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

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.

• 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