Steady progress in the miniaturization of structures and devices has reached a scale where thermal fluctuations become relevant and it is thus important to understand how such fluctuations affect their mechanical stability. Here, we investigate the buckling of thermalized square sheets under either compression or shear. We demonstrate that thermal fluctuations increase the critical buckling load compared to the classical Euler buckling load due to the enhanced scale-dependent bending rigidity for sheets that are much larger than a characteristic thermal length scale. The presented results are universal and apply to a wide range of microscopic sheets. These results are especially relevant for atomically thin 2D materials, where thermal fluctuations can significantly increase the critical buckling load because the thermal length scale is on the order of nanometers at room temperature.

结构和设备小型化的稳步发展已达到一定程度，其中热波动变得十分重要，因此了解这种波动如何影响其机械稳定性非常重要。在这里，我们研究在压缩或剪切作用下热化方形板的屈曲。我们证明，与经典的欧拉屈曲载荷相比，热波动增加了临界屈曲载荷，这是由于增强的，比尺寸长得多的板材的比例尺依赖于弯曲的刚性所致。提出的结果是通用的，并适用于广泛的显微片材。这些结果与原子薄2D材料特别相关，