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Post-buckling behavior of functionally graded circular plates under asymmetric transverse and in-plane loadings

机译：功能梯度圆板在不对称横向和平面载荷下的后屈曲行为

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Based on the first-order nonlinear von Karman theory, the post-buckling analysis of FG circular plates under asymmetric transverse and in-plane loadings are presented. The nonlinear governing equations are reformulated using a stress function and a boundary layer function, and solved by employing a multi-parameter perturbation technique and Fourier series method. The material properties are assumed to vary through the plate thickness according to a power-law distribution of the volume fractions of the constituents. The results are verified with the known results in the literature. The effects of loading, material properties, and boundary conditions on different response quantities are studied. It is observed that the buckling load in clamped FG plates under asymmetric in-plane loading is lower than that of the same plate under axisymmetric in-plane loading. It is concluded that under downward transverse loading, the snap buckling occurs in simply-supported FG plates with an initial considerable upward deflection caused by an in-plane load. In addition, the behavior of boundary layer in FG plates under in-plane loading is studied and compared with that in transverse loading. (C) 2015 Elsevier Ltd. All rights reserved.
机译：基于一阶非线性冯·卡尔曼理论，给出了FG圆板在不对称的横向和平面载荷作用下的后屈曲分析。使用应力函数和边界层函数来重新构造非线性控制方程，并通过使用多参数摄动技术和傅里叶级数方法对其进行求解。假定材料特性根据成分的体积分数的幂律分布在整个板厚中变化。结果用文献中的已知结果验证。研究了载荷，材料特性和边界条件对不同响应量的影响。可以看出，在非对称面内载荷作用下，夹紧的FG板的屈曲载荷低于在轴对称面内载荷作用下的挠曲屈曲载荷。可以得出结论，在向下的横向载荷下，卡扣屈曲发生在简单支撑的FG板中，初始挠曲是由平面内载荷引起的。另外，研究了平面载荷作用下FG板边界层的行为，并将其与横向载荷进行了比较。 （C）2015 Elsevier Ltd.保留所有权利。

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