Article (Scientific journals)
On the comparison of two solid-shell formulations based on in-plane reduced and full integration schemes in linear and non-linear applications
Ben Bettaieb, Amine; Velosa de Sena, J.I.; Alves de Sousa, Ricardo et al.
2015In Finite Elements in Analysis and Design, 107, p. 44-59
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Keywords :
Enhanced assumed strain; Assumed natural strain; Solid-shell; Stabilization technique
Abstract :
[en] In the present paper, a detailed description of the formulation of the new SSH3D solid-shell element is presented. This formulation is compared with the previously proposed RESS solid-shell element [1, 2]. Both elements were recently implemented within the LAGAMINE in-house research finite element code. These solid-shell elements possess eight nodes with only displacement nodal degrees of freedom (DOF). In order to overcome various locking pathologies, the SSH3D formulation employs the well known Enhanced Assumed Strain (EAS) concept originally introduced by Simo and Rifai [3] and based on the Hu-Veubeke-Washizu variational principle combined with the Assumed Natural Strain (ANS) technique based on the work of Dvorkin and Bathe [4]. For the RESS solid-shell element, on the other hand, only the EAS technique is used with a Reduced Integration (RI) Scheme. A particular characteristic of these elements is their special integration schemes, with an arbitrary number of integration points along the thickness direction, dedicated to analyze problems involving non-linear through-thickness distribution (i.e. metal forming applications) without requiring many element layers. The formulation of the SSH3D element is also particular, with regard to the solid-shell elements proposed in the literature, in the sense that it is characterized by an in-plane full integration and a large variety in terms of (i) enhancing parameters, (ii) the ANS version choice and (iii) the number of integration points through the thickness direction. The choice for these three parameters should be adapted to each problem so as to obtain accurate results and to keep the calculation time low. <br />Numerous numerical examples are performed to investigate the performance of these elements. These examples illustrate the reliability and the efficiency of the proposed formulations in various cases including linear and non-linear problems. SSH3D element is more robust thanks to the various options proposed and its full in-plane integration scheme, while RESS element in more efficient from a computational point of view.
Disciplines :
Mechanical engineering
Author, co-author :
Ben Bettaieb, Amine 
Velosa de Sena, J.I.
Alves de Sousa, Ricardo;  University of Aveiro
Valente, Robertt;  University of Aveiro
Habraken, Anne  ;  Université de Liège > Département ArGEnCo > Département ArGEnCo
Duchene, Laurent  ;  Université de Liège > Département ArGEnCo > Analyse multi-échelles des matériaux et struct. du gén. civ.
Language :
English
Title :
On the comparison of two solid-shell formulations based on in-plane reduced and full integration schemes in linear and non-linear applications
Publication date :
December 2015
Journal title :
Finite Elements in Analysis and Design
ISSN :
0168-874X
eISSN :
1872-6925
Publisher :
Elsevier Science, Amsterdam, Netherlands
Volume :
107
Pages :
44-59
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
Name of the research project :
IAP P7/21 (Belgian Science Policy)
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
BELSPO - Belgian Science Policy Office [BE]
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