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Accurate stress analysis of laminated composite and sandwich plates
The Journal of Strain Analysis for Engineering Design ( IF 1.6 ) Pub Date : 2020-06-03 , DOI: 10.1177/0309324720921297
Aniket Chanda 1 , Rosalin Sahoo 1
Affiliation  

This article is devoted to derive the analytical solution for flexural behavior of general symmetric and anti-symmetric cross-ply laminated composite and sandwich plates subjected to transverse mechanical load using the recently developed trigonometric zigzag theory. The inter-laminar continuity conditions of transverse shear stresses at the layer interfaces of the plate are enforced which is an essential condition for any zigzag model. The governing equations of equilibrium of the boundary value problem derived from the principle of minimum potential energy is reduced to a system of five partial differential equations whose solutions are obtained by Navier’s method. Attempt is made to demonstrate number of numerical problems to compare the results of the zigzag model with the elasticity solutions and with the results of other researchers in one common platform. Though in any solid mechanics problem, the displacement components are the primary unknowns, more attention is paid to the stress determination. Hence, the transverse shear stresses are evaluated using both the constitutive and equilibrium equations.

中文翻译:

层压复合板和夹层板的精确应力分析

本文致力于使用最近开发的三角锯齿理论推导出一般对称和反对称交叉层合复合材料和夹层板在横向机械载荷下的弯曲行为的解析解。板层界面处横向剪应力的层间连续性条件得到强制执行,这是任何锯齿形模型的基本条件。由最小势能原理导出的边值问题的平衡控制方程简化为五个偏微分方程组,其解由Navier方法求得。尝试演示数值问题的数量,以将 zigzag 模型的结果与弹性解决方案以及其他研究人员在一个通用平台上的结果进行比较。尽管在任何固体力学问题中,位移分量是主要的未知数,但更多地关注应力的确定。因此,使用本构方程和平衡方程来评估横向剪应力。
更新日期:2020-06-03
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