A simplified approach for incorporating thickness stress in the analysis of sheet metal forming using shell elements

Cho, Jin Won; Yang, Dong‐Yol; Chung, Won Sang

doi:10.1002/nme.379

Cited by 11 publications

(7 citation statements)

References 12 publications

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“…Clearly, the depression and its neighborhood are fully 3D in nature requiring a fully 3D FE representation. Similar conclusions were drawn by Cho et al (2002).…”

Section: Results From a Typical Casesupporting

confidence: 89%

On the localization and failure in aluminum shells due to crushing induced bending and tension

Giagmouris

Kyriakides

Korkolis

et al. 2010

International Journal of Solids and Structures

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a b s t r a c tThe paper is concerned with the accurate numerical simulation of localized deformation that can develop into necking and failure, induced by combined bending and tension in shell structures. The study is motivated by the need to establish the onset and evolution of such failures in imploding underwater structures. Such localized zones of deformation are shown to develop under controlled conditions in experiments on Al-6061-T6 cylindrical shells crushed laterally by rigid punches. The crushing induces gradually developing local depressions in the shells, at radially constrained locations. As the crushing progresses, the depressions with a width of the order of the shell wall thickness, deepen, increase their span, become neck-like and develop inclined failures. In the experimental set-up used, the crushing was terminated when the first of four such depressions that develop ruptured. The shell was sliced along the principal plane of crushing and the most deformed cross sections of the necks were measured. The crushing experiments were simulated numerically using solid FE models. The material was modeled as a finitely deforming elastic-plastic solid that hardens isotropically using the von Mises, the non-quadratic isotropic Hosford and anisotropic Yld04-3D yield functions suitably calibrated. While the overall structural response was reproduced well by all models, differences were observed in the evolution of localization in the depressions. For the von Mises yield function, the localized deformation was significantly milder than in the experiments. The isotropic Hosford yield function produced necks that were closer to the experimental ones, while Yld04-3D produced results that were very close to the measurements. Clearly, and in concert with other applications, the adoption of a non-quadratic yield function is necessary for reproduction of localized and other challenging deformation histories in Al alloys. The addition of anisotropy in such models improves further the predictions.

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“…Clearly, the depression and its neighborhood are fully 3D in nature requiring a fully 3D FE representation. Similar conclusions were drawn by Cho et al (2002).…”

Section: Results From a Typical Casesupporting

confidence: 89%

On the localization and failure in aluminum shells due to crushing induced bending and tension

Giagmouris

Kyriakides

Korkolis

et al. 2010

International Journal of Solids and Structures

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“…[15,[19][20][21]). This need appears to be more critical when the sheet is in contact with a stiff surface like a die or a tool, as it results in local triaxial stress states that can only be captured by 3D representations, as indeed was the case in the present hydroforming problem.…”

Section: Solid Element Model Resultsmentioning

confidence: 97%

Hydroforming of anisotropic aluminum tubes: Part II analysis

Korkolis

Kyriakides

2011

International Journal of Mechanical Sciences

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“…On the other hand, in many applications involving (i) the localized effects due to surface loadings, (ii) the contact interaction of different shell structures, or (iii) the delamination of multilayer shells, it is important to include the transverse normal-stress and the associated thickness change to obtain a better accuracy (see e.g. References [3,4]). Furthermore, when both shell elements and solid elements are used in one FE model such as folded shell structures, * * additional transition elements (e.g.…”

Section: Introductionmentioning

confidence: 99%

Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain

Tan

Vu‐Quoc

2005

Int. J. Numer. Meth. Engng

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SUMMARYWe present in this paper an efficient and accurate low-order solid-shell element formulation for analyses of large deformable multilayer shell structures with non-linear materials. The element has only displacement degrees of freedom (dofs), and an optimal number of enhancing assumed strain (EAS) parameters to pass the patch tests (both membrane and out-of-plane bending) and to remedy volumetric locking. Based on the mixed Fraeijs de Veubeke-Hu-Washizu (FHW) variational principle, the in-plane and out-of-plane bending behaviours are improved and the locking associated with (nearly) incompressible materials is avoided via a new efficient enhancement of strain tensor. Shear locking and curvature thickness locking are resolved effectively by using the assumed natural strain (ANS) method. Two non-linear 3-D constitutive models (Mooney-Rivlin material and hyperelastoplastic material at finite strain) are applied directly without requiring the enforcement of the plane-stress assumption. In particular, we give a simple derivation for the hyperelastoplastic model using spectral representations. In addition, the present element has a well-defined lumped mass matrix, and provides double-side contact surfaces for shell contact problems. With the dynamics referred to a fixed inertial frame, the present element can be used to analyse multilayer shell structures undergoing large overall motion. Numerical examples involving static analyses and implicit/explicit dynamic analyses of multilayer shell structures with both material and geometric non-linearities are presented, and compared with existing results obtained from other shell elements and from a meshless method. It is shown that elements that did not pass the out-of-plane bending patch test could not provide accurate results, as compared to the present element formulation, which passed the out-of-plane bending patch test. The present element proves to be versatile and efficient in the modelling and analyses of general non-linear composite multilayer shell structures.

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A simplified approach for incorporating thickness stress in the analysis of sheet metal forming using shell elements

Cited by 11 publications

References 12 publications

On the localization and failure in aluminum shells due to crushing induced bending and tension

On the localization and failure in aluminum shells due to crushing induced bending and tension

Hydroforming of anisotropic aluminum tubes: Part II analysis

Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain

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