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首页> 外文期刊>Composite Structures >A meshfree method for static and buckling analysis of shear deformable composite laminates considering continuity of interlaminar transverse shearing stresses
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A meshfree method for static and buckling analysis of shear deformable composite laminates considering continuity of interlaminar transverse shearing stresses

机译:考虑层间横向剪切应力连续性的可变形复合材料层合板静压和屈曲分析的无网格方法

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摘要

A meshfree radial point interpolation method is presented for static and buckling analysis of thick laminated plates, taking into account the continuity of interlaminar transverse shearing stresses and zigzag variation of the displacement field through the plate's thickness. The kinematics of the deformation field is based on the refined theory of Wang and Shi (2015). The corresponding weak-form for static bending and buckling analyses of plates based on the Wang and Shi's theory are derived through minimum potential energy principle. The discretized systems of equations for static bending and buckling analyses are derived and the associated numerical integration is performed by the novel CTM quadrature. This integration method can exactly model the problem geometry and thus is very fast and accurate. Several numerical examples are solved to demonstrate the accuracy and efficiency of the plate theory adopted in this paper. Additionally, the examples are also analyzed using the FSDT, TSDT and Shi's plate theory (2007). Because the four theories considered in this paper use five field variables and they also have some other similarities, the influence of higher order terms of the displacement field, transverse shearing strain energy consistency, and imposition of transverse shearing stress continuity on results is investigated.
机译:提出了一种无网格径向点插值方法,该方法考虑了层间横向剪切应力的连续性以及整个板厚度的位移场的锯齿形变化,从而对厚层压板进行了静力和屈曲分析。变形场的运动学基于Wang和Shi(2015)的精细理论。通过最小势能原理,推导了基于Wang和Shi理论的相应的薄板静态弯曲和屈曲分析的弱形式。导出了用于静态弯曲和屈曲分析的离散方程组,并通过新颖的CTM求积法执行了相关的数值积分。这种集成方法可以精确地建模问题的几何形状,因此非常快速且准确。求解了几个数值例子,以证明本文采用的板理论的准确性和有效性。此外,还使用FSDT,TSDT和Shi's Plate理论(2007)对示例进行了分析。由于本文考虑的四个理论使用五个场变量,并且它们也具有其他一些相似之处,因此研究了位移场的高阶项,横向剪切应变能的一致性以及施加横向剪切应力连续性对结果的影响。

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