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

Trinh, Vuong-Dieu; Abed‐Meraim, Farid; Combescure, Alain

doi:10.1007/s12206-011-0710-7

Cited by 47 publications

(48 citation statements)

References 65 publications

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“…The solid elements simulate deformation process where full three-dimensional analysis are required to study the sheet deformation. They calculate the strain variations within the thickness of the sheet, avoid complex shell type kinematics, treat large rotations easily, consider three dimensional constitutive laws and consider contact conditions on both sides of the structure (Hauptmann & Schweizerhof, 1998;Jeswiet et al, 2005;Sena et al, 2011;Trinh, Abed-Meraim, & Combescure, 2011).…”

Section: Solid Elementsmentioning

confidence: 99%

Parameters for the FEA simulations of single point incremental forming

Gupta

Jeswiet

2019

Production & Manufacturing Research

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Single point incremental forming has shown immense potential in the manufacture of prototypes. The sheet metal deformation in this technique is carried out by a small hemispherical or flat tool that moves from the sheet periphery to the sheet center while also pushing the sheet down. Simulations of single point incremental forming can be a tedious task since the area required to be formed is large and the two sheet contact area is fairly small. The effect of tool however, affects the entire geometry by causing deflections and radial strains. Hence, it becomes essential to understand the effect of certain parameters that influence the simulation results for this forming process. The paper aims to study factors influencing the simulation of single point incremental forming process. It gives a description of techniques employed to simulate non-linear behavior of sheet metal forming along with the implicit and explicit methodology. Information on the selection of element type including Reduced Enhanced Solid-Shell element is presented. Techniques employed to avoid locking are also discussed. ARTICLE HISTORY

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Section: Solid Elementsmentioning

confidence: 99%

Parameters for the FEA simulations of single point incremental forming

Gupta

Jeswiet

2019

Production & Manufacturing Research

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“…where i x , 1, 2, 3 i , represent the nodal coordinate vectors, while the detailed expressions of vectors s and h can be found in Trinh et al (2011) for the six-node prismatic element, and in Abed-Meraim and Combescure (2009) for the eight-node hexahedral element.…”

Section: General Formulation Of the Shb6-exp And Shb8ps-exp Elementsmentioning

confidence: 99%

Explicit dynamic analysis of sheet metal forming processes using linear prismatic and hexahedral solid-shell elements

Wang

Chalal

Abed‐Meraim

2017

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. This is an author-deposited version published in: https://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/17480 To cite this version :Peng WANG, Hocine CHALAL, Farid ABED-MERAIM -Explicit dynamic analysis of sheet metal forming processes using linear prismatic and hexahedral solidshell elements -ENGINEERING AbstractPropose The purpose of this paper is to propose two linear solid shell finite elements, a sixnode prismatic element denoted SHB6-EXP and an eight-node hexahedral element denoted SHB8PS-EXP, for the three-dimensional modeling of thin structures in the context of explicit dynamic analysis.Design/methodology/approach These two linear solid shell elements are formulated based on a purely three-dimensional approach, with displacements as the only degrees of freedom. To prevent various locking phenomena, a reduced-integration scheme is used along with the assumedstrain method. The resulting formulations are computationally efficient, since only a single layer of elements with an arbitrary number of through-thickness integration points is required to model 3D thin structures. FindingsVia the VUEL user-element subroutines, the performance of these elements is assessed through a set of selective and representative dynamic elasto-plastic benchmark tests, impact-type problems and deep drawing processes involving complex non-linear loading paths, anisotropic plasticity and double-sided contact. The obtained numerical results demonstrate the good performance of the SHB-EXP elements in the modeling of 3D thin structures, with only a single element layer and few integration points in the thickness direction. Originality/valueThe extension of the SHB-EXP solid shell formulations to large-strain anisotropic plasticity enlarges their application range to a wide variety of dynamic elasto-plastic problems and sheet metal forming simulations. All simulation results reveal that the numerical strategy adopted in this paper can efficiently prevent the various locking phenomena that commonly occur in the 3D modeling of thin structural problems.

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“…This SHB family is composed of a linear six-node prismatic element (SHB6) and an eight-node hexahedral element (SHB8PS), along with their quadratic counterparts (SHB15) and (SHB20), respectively [3,5,[10][11][12]. Figure 1 shows the reference geometry of the four SHB solidshell elements as well as the location of their integration points.…”

Section: Shb Solid-shell Elementsmentioning

confidence: 99%

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

2016

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Abstract.A family of prismatic and hexahedral solid-shell (SHB) elements with their linear and quadratic versions is presented in this paper to model thin 3D structures. Based on reduced integration and special treatments to eliminate locking effects and to control spurious zero-energy modes, the SHB solid-shell elements are capable of modeling most thin 3D structural problems with only a single element layer, while describing accurately the various throughthickness phenomena. In this paper, the SHB elements are combined with fully 3D behavior models, including orthotropic elastic behavior for composite materials and anisotropic plastic behavior for metallic materials, which allows describing the strain/stress state in the thickness direction, in contrast to traditional shell elements. All SHB elements are implemented into ABAQUS using both standard/quasi-static and explicit/dynamic solvers. Several benchmark tests have been conducted, in order to first assess the performance of the SHB elements in quasi-static and dynamic analyses. Then, deep drawing of a hemispherical cup is performed to demonstrate the capabilities of the SHB elements in handling various types of nonlinearities (large displacements and rotations, anisotropic plasticity, and contact). Compared to classical ABAQUS solid and shell elements, the results given by the SHB elements show good agreement with the reference solutions.

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

Cited by 47 publications

References 65 publications

Parameters for the FEA simulations of single point incremental forming

Parameters for the FEA simulations of single point incremental forming

Explicit dynamic analysis of sheet metal forming processes using linear prismatic and hexahedral solid-shell elements

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

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