Abstract

Here, nonlinear buckling and postbuckling properties of cylindrical silicon nanopanels of finite length resting on elastic foundation exposed to axial compression have been studied by taking into account surface free energy (SFE) effect. Size-dependent governing equations were constructed by integrating classical shell theory and Gurtin-Murdoch elasticity theory. Surrounding elastic media were considered as Pasternak foundations. Using shell buckling boundary layer theory, the influences of large deflections and SFE were extended to nonlinear instability analysis of nanopanels under axial loads. Finally, a perturbation-based solution procedure was applied to extract explicit equations for nanopanel postbuckling equilibrium paths at different surface elastic constants and geometric parameter values. It was revealed that surface effect related to positive surface elastic constant values shifted the minimum postbuckling domain point to lower maximum deflection while materials with negative surface values of elastic constant, SFE effect shifted the minimum point of postbuckling domain to higher maximum deflections.

摘要

在这里，通过考虑表面自由能（SFE）效应，研究了有限长度的圆柱形硅纳米板的非线性屈曲和后屈曲特性，这些硅纳米板位于弹性地基上，承受轴向压缩。通过整合经典壳理论和Gurtin-Murdoch弹性理论构建了尺寸相关的控制方程。周围的弹性介质被认为是帕斯捷尔纳克基础。利用壳屈曲边界层理论，将大挠度和SFE的影响扩展到纳米板在轴向载荷下的非线性不稳定性分析。最后，应用基于扰动的求解程序来提取不同表面弹性常数和几何参数值下纳米板后屈曲平衡路径的显式方程。