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Modeling and analysis of cross-ply and angle-ply laminated plates under patch loads using RBF based meshfree method and new HSDT
Computers & Mathematics with Applications ( IF 2.9 ) Pub Date : 2019-10-31 , DOI: 10.1016/j.camwa.2019.10.026
Vivekanand Shukla , Jeeoot Singh

Angle-ply laminated plates have been examined for flexure analysis with multiquadric radial basis function (MQRBF) base meshfree method. A new higher order shear deformation theory (HSDT) representing the transverse shear strain function is proposed in the displacement field. Proposed theory satisfies the condition of continuity and differentiability and is accurate enough to predict the results of flexure. Governing differential equations (GDEs) are derived using energy principle. A MATLAB code is developed to obtain the results for deflection and stresses of the angle-ply laminated plate. The flexure results for laminated plates under patch loads commonly used in general practice is obtained with proposed HSDTs and meshfree method. Present results are validated with published results for the cross-ply laminated plate, and some new results are produced for different loading conditions for angle-ply laminated plates. In the present study, eight layered symmetric cross-ply laminate of equal thickness, an antisymmetric cross-ply laminate of equal thickness and a general angle-ply laminate of equal thickness is considered. The effect of the span to thickness ratio, number of layers and shifting patch loads is presented.



中文翻译:

使用基于RBF的无网格方法和新的HSDT对贴片载荷下的交叉层和角层层压板进行建模和分析

已经使用多层二次径向基函数(MQRBF)基本无网格方法检查了角板层压板的挠曲分析。在位移场中提出了一种新的代表横向剪切应变函数的高阶剪切变形理论(HSDT)。提出的理论满足连续性和可微性的条件,并且足够准确以预测挠曲的结果。控制微分方程(GDE)使用能量原理导出。开发了MATLAB代码,以获得角板层合板的挠度和应力结果。使用建议的HSDT和无网格方法,可以得到在一般实践中通常使用的贴片载荷下层压板的挠曲结果。交叉层压板的公开结果验证了当前结果,对于角板叠层板的不同加载条件,得出了一些新结果。在本研究中,考虑了八层相等厚度的对称交叉层状层压板,相等厚度的反对称交叉层状层压板和普通的相同厚度的角向层状层压板。提出了跨度与厚度之比,层数和斑块位移的影响。

更新日期:2020-03-20
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