On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells

Brank, Boštjan; Perić, D.; Damjanić, Frano B.

doi:10.1007/s004660050078

Cited by 26 publications

(61 citation statements)

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“…The present results, obtained with the enhanced transverse shear strain method, are compared with the results of Brank et al [11] (Fig. 13).…”

Section: Pinching Of a Clamped Cylindermentioning

confidence: 55%

“…15 is subjected to a pair of concentrated forces, inducing large displacements and rotations to the finite elements. This example have been analyzed in a number of publications, including Sansour and Bufler [44], Peng and Crisfield [41], Jiang and Chernuka [32], Brank et al [11], Masud et al [37] and Ibrahimbegovic et al [31], to name but a few. The total length of the shell is L ¼ 10:35, with a radius R ¼ 4:953 and thickness t ¼ 0:094.…”

Section: Stretching Of a Cylinder With Free Endsmentioning

confidence: 97%

“…The particular form of M a in (10) comes from the above mentioned subspace analysis, being explicitly defined as [18] M a ðn; gÞ for a given Gauss point ðn; gÞ. The derivatives in (11) involve bubble interpolation functions of the form N a ðn; gÞ ¼ ð1 À n 2 Þð1 À g 2 Þ ð 12Þ…”

Section: Formulation Of the S4e6p7 Shell Elementmentioning

confidence: 99%

“…12. One-quarter of the structure is analyzed with a mapped mesh of 16 Â 16 elements [11,31]. The elastic material properties are E ¼ 2:0685 Â 10 7 and m ¼ 0:3.…”

Section: Pinching Of a Clamped Cylindermentioning

confidence: 99%

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On the use of an enhanced transverse shear strain shell element for problems involving large rotations

Valente

Jorge

Cardoso

et al. 2003

Computational Mechanics

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This paper presents the extension of a previously developed formulation for shell elements in order to account for non-linear geometric effects, particularly in the presence of large rotations. To eliminate transverse shear locking, the developed shell formulation provides an enlargement of the transverse shear strain field coming from the usual degenerated concept. Doing so, additional transverse shear strain terms are included into the original displacement-based functional, following the enhanced strain approach. To reproduce the behavior of shell structures under large rotations and displacements, a rotation-free configuration is considered, where constitutive relations are stated. Dealing with finite incremental rotations, a singularity-free procedure is employed, characterizing the evolution of normal vectors to shell's mid-surface. Representative non-linear examples are considered, providing the validation of the enhanced shell element as well as the algorithmic procedures implemented, when compared to other formulations in the literature.

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“…The present results, obtained with the enhanced transverse shear strain method, are compared with the results of Brank et al [11] (Fig. 13).…”

Section: Pinching Of a Clamped Cylindermentioning

confidence: 55%

Section: Stretching Of a Cylinder With Free Endsmentioning

confidence: 97%

Section: Formulation Of the S4e6p7 Shell Elementmentioning

confidence: 99%

“…12. One-quarter of the structure is analyzed with a mapped mesh of 16 Â 16 elements [11,31]. The elastic material properties are E ¼ 2:0685 Â 10 7 and m ¼ 0:3.…”

Section: Pinching Of a Clamped Cylindermentioning

confidence: 99%

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On the use of an enhanced transverse shear strain shell element for problems involving large rotations

Valente

Jorge

Cardoso

et al. 2003

Computational Mechanics

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“…Formulation of the conventional ten-node C 0 shell element This section describes the geometry and kinematic of the conventional ten-node shell based on the degenerated solid approach (e.g., see Ahmad et al 1970;Zienkiewicz and Taylor 1989;Sze 1994;Brank et al 1995;Basar and Ding 1996;). …”

mentioning

confidence: 99%

Assumed strain and hybrid destabilized ten-node C 0 triangular shell elements

Sze

Zhu

1998

Computational Mechanics

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The conventional ten-node C 0 triangular shell element is in general too stiff. In this paper, several less stiff formulations are proposed. To reduce the transverse shear stiffness, the assumed strain method is adopted. On the other hand, both assumed strain method and hybrid destabilization are employed for softening the membrane stiffness. The improvement is validated by popular numerical problems.

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On Large Deformations of Thin Elasto‐plastic Shells: Implementation of a Finite Rotation Model for Quadrilateral Shell Element

BRANK

PERIĆ

DAMJANIĆ

1997

Int. J. Numer. Meth. Engng.

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On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells

Abstract: DRUGG-Digitalni repozitorij UL FGG http://drugg.fgg.uni-lj.si/ Ta članek je avtorjeva zadnja recenzirana različica, kot je bila sprejeta po opravljeni recenziji. Prosimo, da se pri navajanju sklicujte na bibliografske podatke, kot je navedeno:

Cited by 26 publications

References 0 publications

On the use of an enhanced transverse shear strain shell element for problems involving large rotations

On the use of an enhanced transverse shear strain shell element for problems involving large rotations

Assumed strain and hybrid destabilized ten-node C 0 triangular shell elements

On Large Deformations of Thin Elasto‐plastic Shells: Implementation of a Finite Rotation Model for Quadrilateral Shell Element

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