基于偶应力理论的压电材料轴对称接触问题  

An Axisymmetric Contact Problem of Piezoelectric Materials Based on the Couple Stress Theory

作　　者：吕鑫 柯燎亮 苏洁 LU Xin;KE Liaoliang;SU Jie(School of Mechanical Engineering,Tianjin University,Tianjin 300350,P.R.China)

机构地区：[1]天津大学机械工程学院,天津300350

出　　处：《应用数学和力学》2024年第10期1268-1278,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(12332006;12021002)。

摘　　要：基于偶应力理论,研究了刚性绝缘球压头与横观各向同性压电半空间尺度依赖的轴对称接触问题.利用Hankel积分变换和积分最小二乘法,获得了接触压力.讨论了特征材料长度对接触压力分布、接触半径和压痕深度的影响.结果表明,基于偶应力理论获得的接触压力结果明显大于经典结果.Based on the couple stress theory,the axisymmetric contact problem between a rigid insulating spherical punch and a transversely isotropic piezoelectric half-space was studied.With the Hankel integral transform and the integral least squares approach,the analytical solutions of the contact pressure were obtained.The effects of the characteristic material length on the contact pressure distribution,the contact radius and the indentation depth were discussed.The results indicate that,the contact pressure obtained based on the couple-stress theory is significantly greater than the classical results.

关 键 词：轴对称接触 压电材料 尺度效应 偶应力理论 

分 类 号：O34[理学—固体力学]