Li Peixing, Liu Tie-Jun
Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, People's Republic of China.
Nanotechnology. 2021 Mar 19;32(23). doi: 10.1088/1361-6528/abe9e6.
The adhesive contact problem between a rigid cylindrical punch and a gradient nanostructured (GNS) coating is investigated by considering the size effect. The laminated plate model is applied to characterize the material properties of a GNS coating in plane strain couple stress elasticity. By using the Fourier integral transform and transfer matrix method, the governing integral equation(s) for the two-dimensional adhesive contact problem are obtained. Numerically calculated results are presented to analyse the effect of characteristic material length, the adhesion parameter and nonhomogeneous parameters on the mechanical response of the GNS coating for the adhesive contact problem. We explore the nanoscale contact of a GNS coating with shear modulus varying as a function of depth according to an exponential function or the power-law function. The present results provide a way to improve the contact deformation and damage to nanoelectromechanical systems by adjusting the gradient index of the GNS coating.
通过考虑尺寸效应，研究了刚性圆柱冲头与梯度纳米结构（GNS）涂层之间的粘着接触问题。采用层合板模型来表征平面应变偶应力弹性中GNS涂层的材料特性。利用傅里叶积分变换和传递矩阵法，得到了二维粘着接触问题的控制积分方程。给出了数值计算结果，以分析特征材料长度、粘着参数和非均匀参数对GNS涂层粘着接触问题力学响应的影响。我们探讨了剪切模量随深度按指数函数或幂律函数变化的GNS涂层的纳米尺度接触。目前的结果为通过调整GNS涂层的梯度指数来改善纳米机电系统的接触变形和损伤提供了一种方法。
