The axisymmetric torsional contact problem of a functionally graded piezoelectric coated half-space  

作　　者：Jie Su Liao-Liang Ke Yue-Sheng Wang Yang Xiang 

机构地区：[1]Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China [2]School of Computing, Engineering and Mathematics,Western Sydney University, Penrith South, NSW 2751, Australia [3]Centre for Infrastructure Engineering, Western Sydney University, Penrith South, NSW 2751, Australia

出　　处：《Acta Mechanica Sinica》2017年第2期406-414,共9页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grants 11272040, 11322218);the Fundamental Research Funds for the Central Universities (Grant 2016YJS113)

摘　　要：In this article, we study the axisymmetric torsional contact problem of a half-space coated with functionally graded piezoelectric material (FGPM) and subjected to a rigid circular punch. It is found that, along the thickness direction, the electromechanical properties of FGPMs change exponentially. We apply the Hankel integral transform technique and reduce the problem to a singular integral equation, and then numerically determine the unknown contact stress and electric displacement at the contact surface. The results show that the surface contact stress, surface azimuthal displacement, surface electric displacement, and inner electromechanical field are obviously dependent on the gradient index of the FGPM coating. It is found that we can adjust the gradient index of the FGPM coating to modify the distributions of the electric displacement and contact stress.In this article, we study the axisymmetric torsional contact problem of a half-space coated with functionally graded piezoelectric material (FGPM) and subjected to a rigid circular punch. It is found that, along the thickness direction, the electromechanical properties of FGPMs change exponentially. We apply the Hankel integral transform technique and reduce the problem to a singular integral equation, and then numerically determine the unknown contact stress and electric displacement at the contact surface. The results show that the surface contact stress, surface azimuthal displacement, surface electric displacement, and inner electromechanical field are obviously dependent on the gradient index of the FGPM coating. It is found that we can adjust the gradient index of the FGPM coating to modify the distributions of the electric displacement and contact stress.

关 键 词：Axisymmetric torsional contact Singular integral equation Functionally graded piezoelectric materials (FGPMs) 

分 类 号：TB34[一般工业技术—材料科学与工程]