Three-dimensional numerical modelling of multi-layered shell structures using two-dimensional plane mesh

Jaśkowiec, Jan; Stankiewicz, Anna; Pluciński, Piotr

doi:10.1016/j.advengsoft.2020.102840

Cited by 6 publications

(3 citation statements)

References 50 publications

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“…However, as the singularities of the kernel function in the boundary integral equation (BIE), the computational accuracy of weak singular integral directly affects the final results, so additional processing schemes must be given to remove these singularities to ensure the successful solution of BEM. Especially for thin-structural problems, poorly shaped elements (such as elements with large angles or narrow lengths) will appear in the discrete geometric model of thin structure [12][13][14], which will seriously affect the accuracy of singular and near singular integrals. Many works have been demonstrated that the near singular integrals can be accurately evaluated by analytical and semi-analytical methods [15,16], Sinh and other nonlinear transformation methods [4,[17][18][19], etc.…”

Section: Introductionmentioning

confidence: 99%

A Subdivision Transformation Method for Weakly Singular Boundary Integrals in Thin-structural Problem

Hou

Zeng

Zhong

et al. 2023

mech

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Accurate and effective calculation of weakly singular integral in the boundary integral equation of the thin-structural problem is the key to the numerical implementation of the boundary element method. In this paper, a subdivision transformation method evaluated for weakly singular integrals is proposed, and the method is implemented as follows: based on the position of the source points, the shape information of the elements and the nearest distance from the source point to the integral element, a subdivision technology is constructed at first. With this subdivision technology, the integral element can be divided into several integral blocks with good shapes. And then, a simpler coordinate transformation method is constructed to remove the weak singularities of the integral blocks obtained by the subdivision technology. Compared with the conventional polar coordinate transformation method, the present transformation method does not need to calculate their integral interval, which is more simple and effective to implement. Finally, the paper gives three numerical examples to verify the accuracy and validity of the present method.

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Section: Introductionmentioning

confidence: 99%

A Subdivision Transformation Method for Weakly Singular Boundary Integrals in Thin-structural Problem

Hou

Zeng

Zhong

et al. 2023

mech

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“…The method subsequently developed in [5], applies the piecewise fourth-order Lagrange polynomial along the plate's thickness. In previous papers [6,7], the authors have already utilized the FEM23 to model the behavior of multi-layered plates and shells with isotropic layers subjected to mechanical or thermo-mechanical loads, devoting special attention to laminated glass structures-the topic of many numerical or experimental studies [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Bending Analysis of Multi-Layered Orthotropic Plates by Two-Dimensional Numerical Model

2021

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The paper presents effective numerical modelling of multi-layered plates with orthotropic properties. The method called the FEM23 is employed to construct the numerical model. The approach enables a full 3D analysis to be performed while using a 2D finite element mesh. The numerical model for a multi-layered plate is constructed by an assembling procedure, where each layer with orthotropic properties is added to the global numerical model. The paper demonstrates that the FEM23 method is very flexible in defining the multilayered plate, where the thickness of each layer as well as its mechanical orthotropic properties can be defined independently. Several examples of three-layered or nine-layered plates are analyzed in this paper. The results obtained by the FEM23 method coincide with the ones taken from the published papers or calculated with the standard 3D FEM approach. The orthotropic version of the FEM23 can be quite easily applied for other kinds of problems including thermo-mechanics, free vibrations, buckling analysis, or delamination.

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“…In this work, the novel approach for the numerical modeling of the delamination is presented. The numerical model is based on the FEM23 [2] which is combined with the discontinuous Galerkin method [3]. The FEM23 is the method that allows full 3D analysis of layered plates or shells using only the 2D finite element method.…”

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confidence: 99%

Numerical Modeling of Delaminsations in Multi-Layered Plates

Jaśkowiec¹,

Pluciński²

2021

VIII Conference on Mechanical Response of Composites

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Three-dimensional numerical modelling of multi-layered shell structures using two-dimensional plane mesh

Cited by 6 publications

References 50 publications

A Subdivision Transformation Method for Weakly Singular Boundary Integrals in Thin-structural Problem

A Subdivision Transformation Method for Weakly Singular Boundary Integrals in Thin-structural Problem

Three-Dimensional Bending Analysis of Multi-Layered Orthotropic Plates by Two-Dimensional Numerical Model

Numerical Modeling of Delaminsations in Multi-Layered Plates

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