在均布载荷作用下弹性半空间内任意形状纳米孔洞周围的应力集中

Stress concentration around a nanosized arbitrarily shaped hole in elastic half-space under uniformly distributed load

基于表面弹性理论和复变函数原理,分析了在均布载荷作用下弹性半空间内任意形状纳米孔洞周围的应力集中.结果表明,在表面张力的作用下,孔洞周围的应力集中强烈地依赖于孔洞与半平面表面的距离与孔洞形状.环向压力的最大值出现在曲率最大值点的附近.

Based on the theory of surface elasticity and the principle of complex function,stress concentration around a nanosized arbitrarily shaped hole in elastic half-plane under uniformly distributed load is analyzed.The result showed that the stress concentration around the hole will be greatly dependent on the distance of hole from half-plane surface and the shape of the hole subjected to surface tension.In addition,the maximum hoop pressure will appear at the place with maximum curvature.