Extension of the ?solid-shell? concept for application to large elastic and large elastoplastic deformations

Hauptmann, R.; Schweizerhof, Karl; Doll, Stefan

doi:10.1002/1097-0207(20001130)49:9<1121::aid-nme130>3.0.co;2-f

Cited by 96 publications

(79 citation statements)

References 29 publications

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“…The hypothesis underlying the two categories of shell elements is essentially the same. A separate category of shell elements is the solid shell element which was mooted by Hauptmann et al 36,37 The solid element does not utilize the resultant form as traditional shell elements do in the formulation before finite element assembly and therefore is more accurate in computation but the computational cost is larger. In modeling the DWCNT, we propose the use of the relative displacement solid shell element model for the inner and outer tubes and linear spring elements for the vdW forces between the inner and outer tubes.…”

Section: Modelingmentioning

confidence: 99%

Buckling of double-walled carbon nanotubes modeled by solid shell elements

Wang

Zhang

et al. 2006

Journal of Applied Physics

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A solid shell element model is proposed for the elastic bifurcation buckling analysis of double-walled carbon nanotubes ͑DWCNTs͒ under axial compression. The solid shell element allows for the effect of transverse shear deformation which becomes significant in a stocky DWCNT with relatively small radius-to-thickness ratio. The van der Waals ͑vdW͒ interaction between the adjacent walls is simulated by linear springs. Using this solid shell element model, the critical buckling strains of DWCNTs with various boundary conditions are obtained and compared with molecular dynamics results and those obtained by other existing shell and beam models. The results obtained show that the solid shell element is able to model DWCNTs rather well, with the appropriate choice of Young's modulus, tube thickness, and spring constant for modeling the vdW forces.

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Section: Modelingmentioning

confidence: 99%

Buckling of double-walled carbon nanotubes modeled by solid shell elements

Wang

Zhang

et al. 2006

Journal of Applied Physics

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“…Although many shell finite element procedures using kinematical assumptions of higher order (in the transverse direction) than the Reissner-Mindlin assumptions have already been proposed and discussed, see e.g. [4,12,14], a mathematical analysis of the pinching locking phenomenon leading to efficient mathematically-substantiated treatments is missing, and this is the objective of the present paper.…”

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confidence: 99%

The treatment of “pinching locking” in3D-shell elements

Chapelle¹,

Ferent²,

Tallec

2003

ESAIM: M2AN

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Abstract. We consider a family of shell finite elements with quadratic displacements across the thickness. These elements are very attractive, but compared to standard general shell elements they face another source of numerical locking in addition to shear and membrane locking. This additional locking phenomenon -that we call "pinching locking" -is the subject of this paper and we analyse a numerical strategy designed to overcome this difficulty. Using a model problem in which only this specific source of locking is present, we are able to obtain error estimates independent of the thickness parameter, which shows that pinching locking is effectively treated. This is also confirmed by some numerical experiments of which we give an account.Mathematics Subject Classification. 65N30, 74K25.

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“…in [11]. It should be mentioned that in contrast to the degenerated shell concept strains and stresses in thickness direction are included in the 'Solid-Shell' concept.…”

Section: The 'Solid-shell' Conceptmentioning

confidence: 99%

Algorithmic aspects in large deformation contact analysis using ‘Solid-Shell’ elements

Harnau

Konyukhov

Schweizerhof

2005

Computers & Structures

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A special application for the so-called 'Solid-Shell' elements are sheet metal forming problems with high stretching and large local contact pressure where standard 2D-shells fail to converge resp. do not give reasonable results. To describe such kind of problems besides a full 3D continuum discretization appropriate contact formulations are necessary to introduce the contact condition of the metal sheets against the rigid tools. In this contribution a velocity description is taken for formulation of contact conditions. A penalty as well as an Augmented Lagrangian approach for frictionless contact is used as a first step in our developments. Special attention is paid to different numerical integration schemes of the contact integral and tangent matrices. As a result a series of different contact elements including various cases as "node-to-surface", "segment-to-segment" and "analytical rigid surface-to-segment" is considered under the unified description. For selected numerical examples the influence of the order of the quadrature formulae in a subdomain integration approach as well as the order of finite element interpolation used in the computations is discussed. The algorithms appear also to work well for friction type problems, which will be tested in a following paper.

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Extension of the ?solid-shell? concept for application to large elastic and large elastoplastic deformations

Cited by 96 publications

References 29 publications

Buckling of double-walled carbon nanotubes modeled by solid shell elements

Buckling of double-walled carbon nanotubes modeled by solid shell elements

The treatment of “pinching locking” in3D-shell elements

Algorithmic aspects in large deformation contact analysis using ‘Solid-Shell’ elements

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