Continuous finite element methods for Reissner-Mindlin plate problem

Duan, Huoyuan; Ma, Junhua

doi:10.1016/s0252-9602(18)30760-4

Cited by 6 publications

(2 citation statements)

References 22 publications

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“…This work presents a four-node quadrilateral bending plate element (Q4) based on the Reissner-Mindlin plate theory [1,2] and a strain smoothing method in finite elements for eigenvalue analysis of non-woven fabric. The review of eigenvalue analysis using the thin plate/shell finite element models can be referred to [3], and the different stages of development of plate/shell finite elements can be found in the works of Yang and coworkers [4].…”

Section: Introduction and Finite Element Formulationmentioning

confidence: 99%

P093_0677_ a Cell-Based Smoothed Finite Element Using a Four-Node Quadrilateral Elements for Static and Eigen Buckling Analysis of Non-Woven Fabric

Nguyen,

Gomes,

Ferreira

2019

Autex

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This paper presents the modification of curvature and transverse shear strains of a fournode quadrilateral Reissner-Mindlin plate element (Q4) using the cell-based smoothed finite-element method (CS-FEM) for static and eigen buckling analysis of non-woven fabric. This is to improve the computation efficiency and accuracy of the Q4 element without much modifying to the configurations of Q4 in FEM. The Q4 plate elements exists the phenomena, known as shear locking, that is caused by parasitic shear deformation energy which yields an artificial additional stiffness, appear as the bending plates becomes progressively thinner. In order to overcome this drawback, the reduced integration methods on smoothing domains of Q4 element was used. The non-woven fabric material was assumed as isotropic material, and its mechanical properties was measured using the Kawabata's evaluation system for fabric (KES-FB). The numerical implementation and results demonstrated that the Q4 plate element based on CS-FEM possesses the following improved properties: accurate than those of the FEM using quadrilateral elements having the same sets of nodes; this method can be also temporally stable for buckling analysis, and the computational efficiency is better than the FEM using the same configurations of nodes.

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Section: Introduction and Finite Element Formulationmentioning

confidence: 99%

P093_0677_ a Cell-Based Smoothed Finite Element Using a Four-Node Quadrilateral Elements for Static and Eigen Buckling Analysis of Non-Woven Fabric

Nguyen,

Gomes,

Ferreira

2019

Autex

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“…Therefore, this paper presents a numerical solution that offer a better efficiency of computation but effective performance in modelling and simulation of tensile and bending behavior of woven fabric structures. The numerical model is based on the integration scheme of CS-FEM model into the Mindlin-Reissner plate element and the plane-stress element using a four-node quadrilateral element [13][14][15]. The plain-woven fabric is assumed as an elastic with orthotropic anisotropy for which the constitutive laws formulated are using low-stress mechanical properties obtained from KES-FB [6].…”

Section: Introductionmentioning

confidence: 99%

Computational Efficiency Improvement for Analyzing Bending and Tensile Behavior of Woven Fabric Using Strain Smoothing Method

Nguyen

Gomes

Ferreira

2018

Computational Science and Its Applications – ICCSA 2018

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The tensile and bending behavior of woven fabrics are among the most important characteristics in complex deformation analysis and modelling of textile fabrics and they govern many aesthetics and performance aspects such as wrinkle/buckle, hand and drape. In this paper, a numerical method for analyzing of the tensile and bending behavior of plain-woven fabric structure was developed. The formulated model is based on the first-order shear deformation theory (FSDT) for a four-node quadrilateral element (Q4) and a strain smoothing method in finite elements, referred as a cell-based smoothed finite element method (CS-FEM). The physical and low-stress mechanical parameters of the fabric were obtained through the fabric objective measurement technology (FOM) using the Kawabata evaluation system for fabrics (KES-FB). The results show that the applied numerical method provides higher efficiency in computation in terms of central processing unit (CPU) time than the conventional finite element method (FEM) because the evaluation of compatible strain fields of Q4 element in CS-FEM model is constants, and it was also appropriated for numerical modelling and simulation of mechanical deformation behavior such as tensile and bending of woven fabric.

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Refined Finite Elements for the Analysis of Metallic Plates Using Carrera Unified Formulation

Teng

Liu

et al. 2023

J. Vib. Eng. Technol.

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Continuous finite element methods for Reissner-Mindlin plate problem

Cited by 6 publications

References 22 publications

P093_0677_ a Cell-Based Smoothed Finite Element Using a Four-Node Quadrilateral Elements for Static and Eigen Buckling Analysis of Non-Woven Fabric

P093_0677_ a Cell-Based Smoothed Finite Element Using a Four-Node Quadrilateral Elements for Static and Eigen Buckling Analysis of Non-Woven Fabric

Computational Efficiency Improvement for Analyzing Bending and Tensile Behavior of Woven Fabric Using Strain Smoothing Method

Refined Finite Elements for the Analysis of Metallic Plates Using Carrera Unified Formulation

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