Bending analysis of functionally graded rectangular plates using the dual mesh control domain method
Bending analysis of functionally graded rectangular plates using the dual mesh control domain method
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DOI：
10.1080/15502287.2021.1890279
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发表时间：
2021-03
影响因子：
1.6
通讯作者：
Praneeth Nampally;E. Ruocco;J. Reddy
中科院分区：
文献类型：
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作者：
Praneeth Nampally;E. Ruocco;J. Reddy
摘要 Reddy提出的双网格控制域方法（DMCDM）采用一个网格来逼近主要变量（原始网格），使用另一个网格来满足控制方程（双网格）。本研究涉及 DMCDM 在功能梯度矩形板中的扩展和应用。该公式利用原始网格和对偶网格对主变量进行传统的有限元插值，以满足控制微分方程的积分形式，这是有限体积法的基本前提。该方法利用一阶剪切变形板理论来分析全厚度功能梯度矩形板的弯曲。给出的数值结果用于说明该方法，并且使用 DMCDM 计算的位移和应力与有限元模型的位移和应力的比较显示出极好的一致性，同时需要较少的公式（和可能的计算）工作。还指出了拉伸-弯曲耦合刚度（由于材料的全厚度分级）对挠度的影响。
Abstract The dual mesh control domain method (DMCDM) introduced by Reddy employs one mesh for the approximation of the primary variables (primal mesh) and another mesh for the satisfaction of the governing equations (dual mesh). The present study deals with the extension and application of the DMCDM to functionally graded rectangular plates. The formulation makes use of the traditional finite element interpolation of the primary variables with a primal mesh and a dual mesh to satisfy the integral form of the governing differential equations, the basic premise of the finite volume method. The method is used to analyze bending of through-thickness functionally graded rectangular plates using the first-order shear deformation plate theory. Numerical results are presented to illustrate the methodology, and a comparison of the displacements and stresses computed using the DMCDM with those of the finite element model shows excellent agreement while requiring less formulative (and possibly computational) effort. The influence of the extensional-bending coupling stiffness (due to the through-thickness grading of the material) on the deflections is also brought out.