Application of the quadrilateral area coordinate method: a new element for laminated composite plate bending problems |
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摘 要: |
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关 键 词: | 四边形区域坐标法 有限元法 挠度 弹性力学 |
收稿时间: | 20 November 2006 |
修稿时间: | 6 March 2007 |
Application of the quadrilateral area coordinate method: a new element for laminated composite plate bending problems |
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Authors: | Song Cen Xiangrong Fu Yuqiu Long Hongguang Li Zhenhan Yao |
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Institution: | (1) Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, 100084, China;(2) Failure Mechanics Laboratory, Tsinghua University, Beijing, 100084, China;(3) College of Water Conservancy and Civil Engineering, China Agriculture University, Beijing, 100083, China;(4) Department of Civil Engineering, Tsinghua University, Beijing, 100084, China |
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Abstract: | Recently, some new quadrilateral finite elements were successfully developed by the Quadrilateral Area Coordinate (QAC) method.
Compared with those traditional models using isoparametric coordinates, these new models are less sensitive to mesh distortion.
In this paper, a new displacement-based, 4-node 20-DOF (5-DOF per node) quadrilateral bending element based on the first-order
shear deformation theory for analysis of arbitrary laminated composite plates is presented. Its bending part is based on the
element AC-MQ4, a recent-developed high-performance Mindlin-Reissner plate element formulated by QAC method and the generalized
conforming condition method; and its in-plane displacement fields are interpolated by bilinear shape functions in isoparametric
coordinates. Furthermore, the hybrid post-processing procedure, which was firstly proposed by the authors, is employed again
to improve the stress solutions, especially for the transverse shear stresses. The resulting element, denoted as AC-MQ4-LC,
exhibits excellent performance in all linear static and dynamic numerical examples. It demonstrates again that the QAC method,
the generalized conforming condition method, and the hybrid post-processing procedure are efficient tools for developing simple,
effective and reliable finite element models.
The project is supported by the National Natural Science Foundation of China (10502028), the Special Foundation for the Authors
of the Nationwide (China) Excellent Doctoral Dissertation (200242), and the Science Research Foundation of China Agricultural
University (2004016). |
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Keywords: | Quadrilateral Area Coordinate (QAC) Finite element Laminated composite plate First-order shear deformation theory (FSDT) Hybrid post-processing procedure |
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