A six-node pentagonal assumed natural strain solid–shell element

Sze, K. Y.; Chan, W. K.

doi:10.1016/s0168-874x(00)00066-4

Cited by 19 publications

(33 citation statements)

References 19 publications

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“…For instance, the two transverse shear strain components at P 1 are taken to be B and C . Finally, the transverse shear strain field is obtained through interpolation at P 1 , P 2 and P 3 [6,14]. It is not difficult to show that the interpolated strains do not match the strains at points A, B and C. While the standard element responds satisfactorily to the twisting load, the mismatch leads to the poor response of ANS_mC to the same loading.…”

Section: An Assumed-strain Hybrid-stress Solid-shell Elementsmentioning

confidence: 99%

“…In this way, the proper twisting response of the standard element can be restored using the above assumed strain scheme. To avoid trapezoidal locking, the same assumed strain method in ANS_mC is employed [6]. The normal strains along the three transverse edges of the elements are interpolated to approximate z z , i.e.…”

Section: An Assumed-strain Hybrid-stress Solid-shell Elementsmentioning

confidence: 99%

“…Stabilized-the hybrid-stabilized solid element, see (30). ANS_mC-the previously proposed assumed natural strain solid-shell element [6]. AS-the assumed-strain solid-shell element, see (36).…”

Section: Numerical Examplesmentioning

confidence: 99%

“…While one software developer is interested in an element for plate/shell analysis, the other is interested in an element for three-dimensional continuum analysis. In response to the former request, a solidshell element has been derived [6]. The assumed strain method is employed to alleviate shear and trapezoidal locking [7,8].…”

Section: Introductionmentioning

confidence: 99%

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Hybrid‐stress six‐node prismatic elements

Sze¹,

Liu²,

Lo³

2004

Numerical Meth Engineering

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SUMMARYThis paper presents three novel hybrid-stress six-node prismatic elements. Starting from the element displacement interpolation, the equilibrating non-constant stress modes for the first element are identified and orthogonalized with respect to the constant stress modes for higher computational efficiency. For the second element, the non-constant stress modes are non-equilibrating and chosen for the sake of stabilizing the reduced-integrated element. The first two elements are intended for three-dimensional continuum analysis with both passing the patch test for three-dimensional continuum elements. The third element is primarily intended for plate/shell analysis. Shear locking is alleviated by a new assumed strain scheme which preserves the element accuracy with respect to the twisting load. Furthermore, the Poisson's locking along the in-plane and out-of-plane directions is overcome by using the hybrid-stress modes of the first element. The third element passes the patch test for plate/shell elements. Unless the element assumes the right prismatic geometry, it fails the patch test for threedimensional continuum elements. It will be seen that all the proposed elements are markedly more accurate than the conventional fully integrated element.

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Section: An Assumed-strain Hybrid-stress Solid-shell Elementsmentioning

confidence: 99%

Section: An Assumed-strain Hybrid-stress Solid-shell Elementsmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hybrid‐stress six‐node prismatic elements

Sze¹,

Liu²,

Lo³

2004

Numerical Meth Engineering

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“…Since they are intended to compete with shell elements, solid-shell elements are expected to have two key features: they contain only displacements as degrees of freedom, and they are able to reproduce the behavior of thin structures by means of a single layer of elements through the thickness. In the last decade, several examples of such formulations have been proposed, and can be found in Domissy [23], Cho et al [24], Hauptmann and Schweizerhof [25], Lemosse [26], Sze and Yao [27], Hauptmann et al [28], Sze and Chan [29], Abed-Meraim and Combescure [30,31], Legay and Combescure [32], Vu-Quoc and Tan [33], Sze et al [34], Chen and Wu [35], Kim et al [36], Alves de Sousa et al [37][38][39], and Reese [40]. It should be noted that most of the methods developed earlier were based on the enhanced assumed strain method proposed by Simo and co-workers (Simo and Rifai [41], Simo and Armero [42], Simo et al [43]), and consisted of either the use of a conventional integration scheme with appropriate control of all locking phenomena or the application of a reduced integration technique with associated hourglass control.…”

Section: Introductionmentioning

confidence: 99%

A new assumed strain solid-shell formulation “SHB6” for the six-node prismatic finite element

2011

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To cite this version:Vuong-Dieu Trinh, Farid Abed-Meraim, Alain Combescure. A new assumed strain solid-shell formulation "SHB6" for the six-node prismatic finite element. Journal of Mechanical Science and Technology, 2011, 25 (9) ----------------------------------------------------------------------------------------------------------------------------------------------------- AbstractThis paper presents the development of a new prismatic solid-shell finite element, denoted SHB6, obtained using a purely threedimensional approach. This element has six nodes with displacements as the only degrees of freedom, and only requires two integration points distributed along a preferential direction, designated as the "thickness". Although geometrically three-dimensional, this element can be conveniently used to model thin structures while taking into account the various phenomena occurring across the thickness. A reduced integration scheme and specific projections of the strains are introduced, based on the assumed-strain method, in order to improve performance and to eliminate most locking effects. It is first shown that the adopted in-plane reduced integration does not generate "hourglass" modes, but the resulting SHB6 element exhibits some shear and thickness-type locking. This is common in linear triangular elements, in which the strain is constant. The paper details the formulation of this element and illustrates its capabilities through a set of various benchmark problems commonly used in the literature. In particular, it is shown that this new element plays a useful role as a complement to the SHB8PS hexahedral element, which enables one to mesh arbitrary geometries. Examples using both SHB6 and SHB8PS elements demonstrate the advantage of mixing these two solid-shell elements.

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Automatic adaptive FE analysis of thin‐walled structures using 3D solid elements

Lee

2008

Numerical Meth Engineering

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In this study, a new automatic adaptive refinement procedure for thin‐walled structures using 3D solid elements is suggested. This procedure employs a specially designed superconvergent patch recovery (SPR) procedure for stress recovery, the Zienkiewicz and Zhu (Z–Z) error estimator for the a posteriori error estimation, a new refinement strategy for new element size prediction and a special mesh generator for adaptive mesh generation. The proposed procedure is different from other schemes in such a way that the problem domain is separated into two distinct parts: the shell part and the junction part. For stress recovery and error estimation in the shell part, special nodal coordinate systems are used and the stress field is separated into two components. For the refinement strategy, different procedures are employed for the estimation of new element sizes in the shell and the junction parts. Numerical examples are given to validate the effectiveness of the suggested procedure. It is found that by using the suggested refinement procedure, when comparing with uniform refinement, higher convergence rates were achieved and more accurate final solutions were obtained by using fewer degrees of freedoms and less amount of computational time. Copyright © 2008 John Wiley & Sons, Ltd.

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A six-node pentagonal assumed natural strain solid–shell element

Cited by 19 publications

References 19 publications

Hybrid‐stress six‐node prismatic elements

Hybrid‐stress six‐node prismatic elements

A new assumed strain solid-shell formulation “SHB6” for the six-node prismatic finite element

Automatic adaptive FE analysis of thin‐walled structures using 3D solid elements

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