Optimal solid shells for non-linear analyses of multilayer composites. I. Statics

Vu‐Quoc, L.; Tan, X.G.

doi:10.1016/s0045-7825(02)00435-8

Cited by 236 publications

(199 citation statements)

References 43 publications

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“…The discrete model is generated using a simple linear solid-shell element developed by Vu-Quoc and Tan [15,16]. This element possesses good coarse mesh and distortion insensitivity properties for a large range of aspect ratios.…”

Section: Simply Supported Plate Subjected To Bisinusoidal Pressure Loadmentioning

confidence: 99%

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Interlaminar stress recovery for three-dimensional finite elements

Fagiano¹,

Abdalla²,

Kassapoglou³

et al. 2010

Composites Science and Technology

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Section: Simply Supported Plate Subjected To Bisinusoidal Pressure Loadmentioning

confidence: 99%

“…The strain approximation is split into two parts: one is the usual displacement-gradient term, and the second is an enhanced strain part. Of particular note is the solid shell element developed by Vu-Quoc and Tan [15,16]. For these three-dimensional enhanced strain elements, C 0 interpolated displacement fields are used.…”

Section: Introductionmentioning

confidence: 99%

Interlaminar stress recovery for three-dimensional finite elements

Fagiano¹,

Abdalla²,

Kassapoglou³

et al. 2010

Composites Science and Technology

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“…In this context, several published works were focused on the development of solid-shell elements (e.g. see [5][6][7][8][9][10][11][12][13]) which form a class of finite element models that are intermediate between the conventional solid and shell elements. Despite their attractive features, low-order solid-shell displacement-based finite elements suffer from different types of locking effects.…”

Section: Introductionmentioning

confidence: 99%

On the comparison of two solid-shell formulations based on in-plane reduced and full integration schemes in linear and non-linear applications

Bettaieb

Sena

Sousa

et al. 2015

Finite Elements in Analysis and Design

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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. 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.

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“…To improve the element behavior and computational effectiveness, instead of displacement degrees of freedom, enhanced strains have been used, see for example Refs. [12,19,20], and the references therein. However, enhanced strain formulations can be unstable, see Refs.…”

Section: Introductionmentioning

confidence: 99%

A 4-node 3D-shell element to model shell surface tractions and incompressible behavior

Kim

Bathe

2008

Computers & Structures

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a b s t r a c tWe present in this paper a shell element that models the three-dimensional (3D) effects of surface tractions, like needed when a shell is confined between other solid media. The element is the widely used MITC4 shell element enriched by the use of a fully 3D stress-strain description, appropriate throughthe-thickness displacements to model surface tractions, and pressure degrees of freedom for incompressible analyses. The element formulation avoids instabilities and ill-conditioning. Various example solutions are presented to illustrate the capabilities of the element.

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Optimal solid shells for non-linear analyses of multilayer composites. I. Statics

Abstract: Computer Methods in Applied Mechanics and Engineering 192 (2003) 975-1016. doi:10.1016/S0045-7825(02)00435-8Received by publisher: 2002-02-19Harvest Date: 2016-01-04 12:20:58DOI: 10.1016/S0045-7825(02)00435-8Page Range: 975-101

Cited by 236 publications

References 43 publications

Interlaminar stress recovery for three-dimensional finite elements

Interlaminar stress recovery for three-dimensional finite elements

On the comparison of two solid-shell formulations based on in-plane reduced and full integration schemes in linear and non-linear applications

A 4-node 3D-shell element to model shell surface tractions and incompressible behavior

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