最近,一些新四边的有限元素被四边的区域坐标(QAC ) 方法成功地开发。与用 isoparametric 坐标的那些传统的模型相比,这些新模型对网孔失真不太敏感。在这篇论文,一新基于排水量, 4 节点 20-DOF (5-DOF 每节点) 四边的弯曲元素基于一阶砍为任意的把压成薄片的合成盘子的分析的变丑理论被介绍。它的弯曲部分基于元素 AC-MQ4,高效的 Mindlin-Reissner 板元素由 QAC 方法提出了的最近开发和概括一致条件方法;并且它的在里面飞机排水量地被双线性的形状功能在 isoparametric 坐标插入内推。而且,混合 processing 以后过程,被作者第一建议,再被采用改进压力答案,为特别横向砍压力。产生元素,作为 AC-MQ4-LC 表示了,在所有线性静态、动态的数字例子展出优秀性能。它再证明 QAC 方法,概括一致条件方法,和混合 processing 以后过程是为开发简单、有效、可靠的有限元素模型的有效工具。
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-rocessing 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.