一维脉冲波透过压电介质摩擦接触界面的传播

Propagation of One-dimensional Pulse through a Contact Interface between Two Piezoelectric Solids

以压电材料为核心的结构和元件在装置中,总是和其他材料组合在一起,常用来传导表面波或承受动荷载,界面是其中的重要组成部分。当扰动很强时,会引起接触界面的局部滑移和分离,对结构安全产生威胁。笔者对一维脉冲波透过横观各向同性压电介质摩擦接触界面的传播进行了研究。利用Fourier分析的方法,将混合边值问题化为非线性代数方程组,通过迭代修正,确定了界面上分离、滑移和粘着3种区域的分布范围,同时计算了界面剪力和相对滑移速度的分布。笔者进一步丰富了压电弹性波动理论,利用波所携带的力学或电学信息,可望无损探测界面的接触状态及接触力等参量,对结构的安全评估与寿命预测具有重要的理论价值与实际意义。

Structures and components made of piezoelectric materials are often combined together with other materials and used to conduct surface waves or to carry dynamic loading, where the interfaces between them may play an important role. When the incidence wave is strong enough, the contact interface will separate or slide on local area, which is harmful to the safety of the structure. Propagation of one-dimensional pulse through a contact interface between two piezoelectric solids is studied. The problem is cast to a group of non-linear algebraic equations by Fourier analysis. An iterative method is developed both to determine the separatify, sliding and contacting zones on the interface and to calculate the interface shearing tractions and relative slip velocities. The may enrich the theory about the elastic waves in piezoelectricity medium, the contact state and interfacial forces could be evaluated by detecting the mechanical or electrical information carried by waves. It is of both theoretical and practical importance for evaluation and prediction of structural safety.