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首页> 外文期刊>Composite Structures >Isogeometric thermal postbuckling analysis of porous FGM quasi-3D nanoplates having cutouts with different shapes based upon surface stress elasticity
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Isogeometric thermal postbuckling analysis of porous FGM quasi-3D nanoplates having cutouts with different shapes based upon surface stress elasticity

机译：基于表面应力弹性的不同形状具有切口的多孔FGM准基3D纳米板的异冈热预测分析

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摘要

In the current investigation, a surface elastic-based three-dimensional (3D) nonlinear formulation is provided to explore the thermal postbuckling characteristics of porous composite nanoplates made of a functionally graded material (FGM) having a central cutout with different shapes. The surface stress factors are taken into the formulation by choosing the Gurtin-Murdoch theory of elasticity within the framework of a hybrid-type quasi-3D higher-order plate theory. With the aid of the isogeometric solving process using non-uniform rational B-splines as the basis functions, higher-order approximation with a precise geometric modelling of the structure is achieved. In the context of a refined power-law function together with the Touloukian scheme, the porosity-dependent as well as temperature-dependent material properties are achieved. It is portrayed that for a higher value of the material gradient index, the role of surface stress type of size dependency in the thermal postbuckling of porous FGM nanoplates becomes more important. Furthermore, it is deduced that by going to deeper part of the postbuckling regime which results in a higher value of the maximum deflection, the increment in the associated temperature rise caused by the surface stress size effect reduces. Also, it is found that by considering a higher value of the maximum deflection and moving to deeper region of the postbuckling domain, the existence of a central cutout leads to change the trend of the thermal postbuckling equilibrium path especially for a bigger central cutout.
机译：在本前研究中，提供了一种表面弹性的三维（3D）非线性配方，以探讨由具有不同形状的中央切口的功能渐变材料（FGM）制成的多孔复合纳米间电镀的热假时出现特性。通过在混合型准3D高阶板理论的框架内选择Gurtin-Murdoch弹性理论，将表面应力因子引入制剂中。借助于使用非均匀RATIONATY B样品作为基函数的异诊测量求解过程，实现了具有精确几何建模的高阶近似。在精制的电力法函数与Touloukian方案一起，达到孔隙率以及温度依赖性材料特性。描绘了对于材料梯度指数的更高价值，表面应力型尺寸依赖性在多孔FGM纳米层间的热后依赖性的作用变得更加重要。此外，推导出来，通过向最大偏转的最大值的更深的部分来深入地，通过表面应力尺寸效应的相关温度升高的增量降低。此外，发现通过考虑最大偏转和移动到后座的更深区域的较高值，中央切口的存在导致改变尤其是对于更大的中央切口的热出现的均衡路径的趋势。

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