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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
journal contribution
posted on 2006-07-09, 00:00 authored by R J Alves de Sousa, R P R Cardoso, R A Fontes Valente, Jeong YoonJeong Yoon, J J Grácio, R M Natal JorgeIn 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 enha nced 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.
History
Journal
International journal for numerical methods in engineeringVolume
67Issue
2Pagination
160 - 188Publisher
Wiley-BlackwellLocation
London, Eng.Publisher DOI
ISSN
0029-5981eISSN
1097-0207Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2006, John Wiley & SonsUsage metrics
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No categories selectedKeywords
solid-shell elementreduced integrationenhanced assumed strain methodphysical stabilizationthin-shell structureScience & TechnologyTechnologyPhysical SciencesEngineering, MultidisciplinaryMathematics, Interdisciplinary ApplicationsEngineeringMathematicsFINITE-ELEMENTBRICK ELEMENTLOCKINGFORMULATIONCONTINUUMEFFICIENTIMPLEMENTATIONDEFORMATIONSEQUIVALENCEEXTENSION
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