In this investigation, by matching the moving Kriging meshfree formulations with the third-order shear flexible shell model together with the modified couple stress continuity, the size-dependent nonlinear stability characteristics of micropanels subjected to axial compression are analyzed. The random checkerboard model is employed for the micropanels made of graphene nanoplatelet random-reinforced composites. The associated material characteristics are evaluated via a probabilistic-based micromechanical scheme. Afterwards, proper meshfree functions are implemented to enforce the essential boundary conditions at the considered nodding system accurately. It is shown that the stiffening character of the couple stress size dependency coming from the rotation gradient tensor causes to rise the nonlinear critical stability load and the associated critical shortening of random reinforced composite micropanels. Moreover, for a specific value of the graphene nanofillers volume fraction, by reducing the length to width aspect ratio of them, the role of rotation gradient size dependency in the both critical stability load and critical shortening of an axially compressed random checkerboard reinforced composite micropanel becomes somehow more significant.

在这项研究中，通过将移动 Kriging 无网格公式与三阶剪切柔性壳模型以及修正的耦合应力连续性相匹配，分析了微板在轴向压缩下的尺寸相关非线性稳定性特性。随机棋盘模型用于由石墨烯纳米片随机增强复合材料制成的微面板。相关的材料特性通过基于概率的微机械方案进行评估。然后，实施适当的无网格函数以准确地在所考虑的点头系统上强制执行基本边界条件。结果表明，来自旋转梯度张量的耦合应力大小依赖性的硬化特性导致非线性临界稳定载荷和相关的随机增强复合微板的临界缩短。此外，对于特定值的石墨烯纳米填料体积分数，通过降低它们的长宽比，旋转梯度尺寸依赖性在轴向压缩随机棋盘增强复合微板的临界稳定性载荷和临界缩短中的作用变为不知何故更重要。