EI、Scopus 收录
中文核心期刊

Steigmann-Ogden表面效应对压电半平面无摩擦接触行为的影响

STEIGMANN-OGDEN SURFACE EFFECT ON FRICTIONLESS CONTACT BEHAVIORS OF A PIEZOELECTRIC HALF-PLANE

  • 摘要: 基于Steigmann-Ogden表面弹性理论与经典压电理论, 建立了一个能够考虑包含表面残余应力、表面抗拉刚度和表面抗弯刚度在内完整表面力学效应影响的力电耦合接触力学模型. 采用Fourier积分变换与Gauss-Chebyshev数值积分方法进行求解, 获得了刚性圆形压头作用下压电半平面结构的接触压力、接触应力和电位移的分布规律. 系统分析了上述力电响应量对各表面力学模量以及压头尺寸的依赖规律和作用机制. 研究发现, 表面效应对压电半平面结构接触面的力电响应量分布具有显著影响. 尤其值得指出的是, 常被忽视的表面抗弯刚度在接触问题中也具有重要作用, 其对法向接触应力的影响程度次于表面残余应力但强于表面抗拉刚度. 此外, 研究还表明接触力电响应具有明显的尺寸依赖性, 当压头尺寸减小至0.1 μm时, 接触应力分布已显著偏离经典Hertz理论结果, 且接触应力值随压头尺寸的减小而降低. 本文研究结果对基于压电材料的电子器件性能表征与结构优化具有重要指导意义.

     

    Abstract: This study integrates Steigmann-Ogden surface elasticity theory with classical piezoelectric theory to establish a fully coupled electromechanical contact mechanics model for piezoelectric materials. This model comprehensively accounts for the surface mechanical effects, including surface residual stress, surface membrane stiffness and surface bending stiffness. By means of Fourier integral transforms and Gauss-Chebyshev numerical quadrature method, the distributions of contact pressure, contact stress, and electric displacement in a piezoelectric half-plane under a rigid circular indenter are obtained. The dependencies of these electromechanical responses on the surface elastic moduli and size of indenter are analyzed carefully, along with the underlying mechanisms. It is found that surface elastic effects significantly influence the distributions of electromechanical fields on the contact surface. Notably, the study reveals that the often-overlooked surface bending rigidity also plays a substantial role in contact conditions, exerting an influence on normal contact stress that is weaker than surface residual stress while stronger than surface membrane stiffness. Furthermore, the contact electromechanical responses exhibit strong size dependence. The contact stress distribution differs remarkably from that predicted by classical Hertz theory when the indenter size reduces to 0.1 μm, and decreases as the indenter size diminishes. The results provide some theoretical insights on optimizing performance of electronic devices based on piezoelectric materials.

     

/

返回文章
返回