A model-adaptive hanging node concept based on a new non-linear solid-shell formulation

Reese, Stefanie; Rickelt, Christian

doi:10.1016/j.cma.2007.07.007

Cited by 4 publications

(2 citation statements)

References 60 publications

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“…It has been demonstrated that physical stabilization probably makes element behave overly stiff in bending-dominated situations, especially when the element widthto-thickness ratio tends to zero [3,10,28]. Aiming at improving the performance of the proposed element, the transverse shear terms of B H are reconstructed by: (21) in which the linear parts contributing to the excessive hourglass stiffness are dropped out.…”

Section: Hourglass Stabilizationmentioning

confidence: 99%

Explicit Analysis of Sheet Metal Forming Processes Using Solid-Shell Elements

Liu

et al. 2021

Metals

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To simulate sheet metal forming processes precisely, an in-house dynamic explicit code was developed to apply a new solid-shell element to sheet metal forming analyses, with a corotational coordinate system utilized to simplify the nonlinearity and to integrate the element with anisotropic constitutive laws. The enhancing parameter of the solid-shell element, implemented to circumvent the volumetric and thickness locking phenomena, was condensed into an explicit form. To avoid the rank deficiency, a modified physical stabilization involving the B-bar method and reconstruction of transverse shear components was adopted. For computational efficiency of the solid-shell element in numerical applications, an adaptive mesh subdivision scheme was developed, with element geometry and contact condition taken as subdivision criteria. To accurately capture the anisotropic behavior of sheet metals, material models with three different anisotropic yield functions were incorporated. Several numerical examples were carried out to validate the accuracy of the proposed element and the efficiency of the adaptive mesh subdivision.

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Section: Hourglass Stabilizationmentioning

confidence: 99%

Explicit Analysis of Sheet Metal Forming Processes Using Solid-Shell Elements

Liu

et al. 2021

Metals

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“…The transverse shear stiffness is another key point considered in stabilization. It is observed that reduced integration solid‐shell elements with physical stabilization behave overly stiff in bending‐dominated deformations, especially when coarse meshes are utilized . What is worse, the resulting stabilization forces even lead the elements to experience shear locking .…”

Section: Stabilization Proceduresmentioning

confidence: 99%

A new reduced integration solid‐shell element based on EAS and ANS with hourglass stabilization

Liu

Zhang

et al. 2015

Numerical Meth Engineering

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Summary In this paper, a novel reduced integration eight‐node solid‐shell finite element formulation with hourglass stabilization is proposed. The enhanced assumed strain method is adopted to eliminate the well‐known volumetric and Poisson thickness locking phenomena with only one internal variable required. In order to alleviate the transverse shear and trapezoidal locking and correct rank deficiency simultaneously, the assumed natural strain method is implemented in conjunction with the Taylor expansion of the inverse Jacobian matrix. The projection of the hourglass strain‐displacement matrix and reconstruction of its transverse shear components are further employed to avoid excessive hourglass stiffness. The proposed solid‐shell element formulation successfully passes both the membrane and bending patch tests. Several typical examples are presented to demonstrate the excellent performance and extensive applicability of the proposed element. Copyright © 2015 John Wiley & Sons, Ltd.

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An improved assumed strain solid–shell element formulation with physical stabilization for geometric non‐linear applications and elastic–plastic stability analysis

Abed‐Meraim

Combescure

2009

Numerical Meth Engineering

125

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SUMMARYIn this paper, the earlier formulation of the SHB8PS finite element is revised in order to eliminate some persistent membrane and shear locking phenomena. This new formulation consists of a solid-shell element based on a purely three-dimensional approach. More specifically, the element has eight nodes, with displacements as the only degrees of freedom, as well as an arbitrary number of integration points, with a minimum number of two, distributed along the 'thickness' direction. The resulting derivation, which is computationally efficient, can then be used for the modeling of thin structures, while providing an accurate description of the various through-thickness phenomena. A reduced integration scheme is used to prevent some locking phenomena and to achieve an attractive, low-cost formulation. The spurious zero-energy modes due to this in-plane one-point quadrature are efficiently controlled using a physical stabilization procedure, whereas the strain components corresponding to locking modes are eliminated with a projection technique following the assumed strain method. In addition to the extended and detailed formulation presented in this paper, particular attention has been focused on providing full justification regarding the identification of hourglass modes in relation to rank deficiencies. Moreover, an attempt has been made to provide a sound foundation to the derivation of the co-rotational coordinate frame, on which the calculations of the stabilization stiffness matrix and internal load vector are based. Finally to assess the effectiveness and performance of this new formulation, a set of popular benchmark problems is investigated, involving geometric non-linear analyses as well as elastic-plastic stability issues.

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A model-adaptive hanging node concept based on a new non-linear solid-shell formulation

Cited by 4 publications

References 60 publications

Explicit Analysis of Sheet Metal Forming Processes Using Solid-Shell Elements

Explicit Analysis of Sheet Metal Forming Processes Using Solid-Shell Elements

A new reduced integration solid‐shell element based on EAS and ANS with hourglass stabilization

An improved assumed strain solid–shell element formulation with physical stabilization for geometric non‐linear applications and elastic–plastic stability analysis

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