Automatic adaptive FE analysis of thin‐walled structures using 3D solid elements

Lee, Chi King; Xu, Qiang

doi:10.1002/nme.2315

Cited by 4 publications

(4 citation statements)

References 30 publications

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“…However, this validates the fact that using the X-FEM do not modify the performance of the underlying finite element approach. Note also that, as explained in [1], the large increase of the error in the case of a 16 aspect ratio with tetrahedrons is due to an insufficient discretization in the plane of the plate.…”

Section: Thin Structurementioning

confidence: 81%

“…An intermediate possibility for the use of solid elements was proposed by Lee and Xu [39,1] for applications in offshore structures where both thin and thick plates coexist. Performing a cost study for quadratic and cubic approximations, the authors deduced that quadratic elements were a good compromise between computational cost and accuracy [15,16].…”

Section: The Extended Finite Element Methodsmentioning

confidence: 99%

“…Usually, the kinematic link between the two areas induces stress concentrations. This is why in some highly secured applications, solid modelizations have to be considered for certification purpose [1]. In addition, such a kinematic hypothesis decreases the accuracy of the model near junctions.…”

Section: Introductionmentioning

confidence: 99%

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Numerical simulation of CAD thin structures using the eXtended Finite Element Method and Level Sets

Legrain

Geuzaine

Remacle

et al. 2013

Finite Elements in Analysis and Design

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International audienceAn efficient approach is proposed in order to predict the mechanical response of complex industrial parts. As these structures are usually composed of massive and thin parts, different models have to be mixed together (plate, shells, solid). The transition between these different kinematic assumptions can be problematic and non-linear models cannot be employed depending on the plate model that is considered. Moreover, Finite Element analysis in the case of large and complex assemblies implies tedious meshing steps. The idealization and simplification of these structures into a mix of 2D and 3D Finite Elements usually takes therefore significantly more time than the analysis itself. The objective of the present contribution is to explore a calculation process that enables a simple automation of the meshing steps. Even though potentially computationally more expensive, the meshing automation may lead to drastic time reduction for the CAD to mesh process and a much tighter link between CAD and calculated assembly. Finally, easier and faster design explorations would be allowed. This strategy relies on the use of a non-conforming quadratic approximation that is defined on a sufficiently fine mesh. The eXtended Finite Element Method is used in order to alleviate meshing issues. The mesh and Level-Set function are built from the CAD input, by means of an automated approach. The strategy is verified against analytical solutions and real aerospace substructures

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Section: Thin Structurementioning

confidence: 81%

Section: The Extended Finite Element Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical simulation of CAD thin structures using the eXtended Finite Element Method and Level Sets

Legrain

Geuzaine

Remacle

et al. 2013

Finite Elements in Analysis and Design

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show abstract

“…In a typical model for a 2.5 m long section, 45,000 brick elements are employed in the FE analysis. Note that in the previous study (Lee and Xu 2008), it is shown that 4 layers of element in the thickness direction is sufficient to capture the stress variation in the thickness 41 direction while the computational cost incurred is still within an acceptable limit for the parametric study discussed in Section 4. In order to obtain accurate modelling results but maintain computational efficiency, smaller elements are employed in critical areas like the corners and the free web middle part as shown in Figure 4.3.…”

Section: Model Descriptionmentioning

confidence: 89%

Studies of imperfections in roller bending steel hollow section members

Jin¹

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Structurally, the action of curving a steel hollow section member makes it possible to cover significant longer spans, since the load is carried largely in compression instead of through bending action. Due to the excellent mechanical properties and geometric tolerances, the curved steel hollow section members are often employed for the construction of high load-bearing roof structures. Cold bending by means of a rolling machine with three adjustable rollers in a triangle or pyramid type is suitable for the large bends required for construction purposes. Roller bending involves progressive bending of a section by passing the member through a set of bending rolls. During the cold-bending process of steel hollow section member, with either square or rectangular section, relatively high loads are applied to achieve a permanent member curvature. These could cause imperfections such as sectional deformations and residual stresses in the member. Such loads impart large permanent local deformations in the four relatively thin hollow section member faces and sectional deformation in the cross section of the member. The sectional deformations in the cross section are caused by web crippling coupled with compression flange buckling. As a result, there is a reduction in the section moment of inertia. The permanent sectional deformation of the cross section may affect its aesthetic appeal or integrity to carry loads when used after rolling. The cold roller bending process also induces residual stress in the section walls. The residual stress magnitude and distribution could have sufficient influence on the member's stability and buckling resistance. Therefore, a certain acceptable level of sectional deformation should be established. In this paper, the experimental, numerical and analytical methods were used to investigate the relationship between the cross-sectional sectional deformation and the member's potential curvature. Furthermore, the yield line mechanism and energy minimization theory are employed to predict the sectional deformation of steel rectangular hollow section after cold roller bending. The yield line models were developed based on the actual deformation observed from experimental results and numerical simulations. Based on the theoretical analysis as well as the III experimental results, simple analytical models are proposed to predict the relationships between the bending radius of the curved member and the resulting deformations of the cross section under different deformation modes. While few studies have paid attention to the residual stress distribution caused by roller bending, a proper numerical modelling procedure is employed to simulate the rolling process and reproduce the residual stress in this paper. In addition, a small scale parametric study is conducted to investigate the effects of some key roller bending parameters, including the rolling boundary conditions, the bending ratio, the steel yield stress, the thickness ratio and the shape factor, on the resulted residual stress distribution of...

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Demographic, Psychological, and Social Characteristics of Self-Identified Lesbian, Gay, and Bisexual Adults in a US Probability Sample

et al. 2010

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Using data from a US national probability sample of self-identified lesbian, gay, and bisexual adults (N = 662), this article reports population parameter estimates for a variety of demographic, psychological, and social variables. Special emphasis is given to information with relevance to public policy and law. Compared with the US adult population, respondents were younger, more highly educated, and less likely to be non-Hispanic White, but differences were observed between gender and sexual orientation groups on all of these variables. Overall, respondents tended to be politically liberal, not highly religious, and supportive of marriage equality for same-sex couples. Women were more likely than men to be in a committed relationship. Virtually all coupled gay men and lesbians had a same-sex partner, whereas the vast majority of coupled bisexuals were in a heterosexual relationship. Compared with bisexuals, gay men and lesbians reported stronger commitment to a sexual-minority identity, greater community identification and involvement, and more extensive disclosure of their sexual orientation to others. Most respondents reported experiencing little or no choice about their sexual orientation. The importance of distinguishing among lesbians, gay men, bisexual women, and bisexual men in behavioral and social research is discussed.

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Automatic adaptive FE analysis of thin‐walled structures using 3D solid elements

Cited by 4 publications

References 30 publications

Numerical simulation of CAD thin structures using the eXtended Finite Element Method and Level Sets

Numerical simulation of CAD thin structures using the eXtended Finite Element Method and Level Sets

Studies of imperfections in roller bending steel hollow section members

Demographic, Psychological, and Social Characteristics of Self-Identified Lesbian, Gay, and Bisexual Adults in a US Probability Sample

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