Buckling of thermalized elastic sheets

Abstract

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 sheets and we demonstrate that thermal fluctuations increase the critical 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.

arXiv comment10 pages, 4 figures

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• Thermalized buckling of isotropically compressed thin sheets
• Thermal buckling and symmetry breaking in thin ribbons under compression
• Thermal buckling transition of crystalline membranes in a field
• Spontaneous tilt of single-clamped thermal elastic sheets
• Anomalous thermal expansion in Ising-like puckered sheets
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