表面应力对圆形纳米孔板局部屈曲的影响

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342150

A. Bochkarev, M. Grekov

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引用次数: 11

摘要

研究了在单轴远拉伸作用下，表面应力对带圆形纳米孔的无限板局部屈曲的影响。在线性化的von Kármán方程框架下，用里兹法求出了屈曲所对应的临界欧拉荷载。用里兹法对表面的各种弹性特性进行了数值计算。结果表明，如果将残余表面应力纳入精确的表面弹性理论中，对局部屈曲(即临界载荷)的修正并不显著。

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The influence of the surface stress on the local buckling of a plate with a circular nanohole

The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is found with the Ritz method in the framework of the linearized von Kármán set of equations. Numerical computations are performed with the Ritz method for various elastic properties of the surface. It is shown that one doesn't get a significant correction of the local buckling (i.e of the critical load), if residual surface stress is included into the mathematically exact theory of surface elasticity.

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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

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