固体表面层的一种横向剪切模型

A transverse shear model of solid surface layer

微米/纳米尺寸的结构需要考表面弹性效应的影响。对最近提出的一种引入了横向剪切效应的固体表面弹性模型进一步进行了研究,通过数值模拟求解了旋转椭球在静水压力下的弹性行为,并与经典的Gurtin-Murdoch模型进行对比。其结果表明,表面横向剪切应力的存在对结构的变形与应力有极大影响。在变形分布上,横向剪切模型与Gurtin-Murdoch模型也有显著的区别,这一特点可以作为验证横向剪切效应的依据。

The structure of micron/nanometer size needs to consider the effect of surface elasticity. In this paper, a recently proposed elastic model of solid surface with transverse shear effect is further studied. The elastic behavior of a rotating ellipsoid under hydrostatic pressure is numerically simulated and compared with the classical Gurtin-Murdoch model. The results show that the existence of transverse shear stress on the surface greatly affects the deformation and stress of the structure. The transverse shear model is also significantly different from Gurtin-Murdoch model in the distribution of deformation, which can be used as an experimental basis to verify the transverse shear effect.