Optimal solid shells for non-linear analyses of multilayer composites. II. Dynamics

Vu‐Quoc, L.; Tan, X.G.

doi:10.1016/s0045-7825(02)00336-5

Cited by 108 publications

(117 citation statements)

References 25 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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“…10 3 t 3 . Material parameters are a Young's modulus E=10 7 and to test the effect of the material incompressibility on the numerical prediction three Poisson's ratios were used ν=0, 0.3 and 0.499. In addition, to investigate the mesh refinement effect, the structure has been discretized into 10, 12 and 16 SSH3D and RESS solid-shell elements along its length direction and only one element on each of the two other directions.…”

Section: Cantilever Plate Out Of Plane Bendingmentioning

confidence: 99%

“…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%

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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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Models and Finite Elements for Thin‐Walled Structures

Bischoff

Bletzinger

Wall

et al. 2004

Encyclopedia of Computational Mechanics

145

143

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The present study provides an overview of modeling and discretization aspects in finite element analysis of thin‐walled structures. Shell formulations based upon derivation from three‐dimensional continuum mechanics, the direct approach, and the degenerated solid concept are compared, highlighting conditions for their equivalence. Rather than individually describing the innumerable contributions to theories and finite element formulations for plates and shells, the essential decisions in modeling and discretization, along with their consequences, are discussed. It is hoped that this approach comprises a good amount of the existing literature by including most concepts in a generic format. The contribution focuses on nonlinear finite element formulations for large displacements and rotations in the context of elastostatics. Although application to dynamics and problems involving material nonlinearities is straightforward, these subjects are not taken into account explicitly.

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Optimal solid shells for non-linear analyses of multilayer composites. II. Dynamics

Cited by 108 publications

References 25 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

Models and Finite Elements for Thin‐Walled Structures

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