求解压电材料PKHS裂纹的另一种方法.pdfVIP

An Alternative Method for a PKHS Crack in Piezoelectric 1 Materials Zhuocheng Ou Yiheng Chen* Department of Engineering Mechanics, Depa rtment of Engineering Mechanics, X i ’an Jiaotong University Xi ’an Jiaotong University Xi’ an City, 710049, P. R. China Xi ’an City, 710049, P. R. China zcou@ yh chen2@ Abstract This paper presents a alternative method for a PKHS crack gap in piezoelectric materials. The PKHS crack was proposed by Parton and Kudryavtsev [1] and Hao and Shen [2], which accounts for the influence induced by the permittivity of medium inside crack gap upon crack tip parameters. Based on Stroh ’s theory, an alternative technique is proposed in a compact form without any treatment of the mapping technique. Keywords: crack; piezoelectric; permittivity. 1. Introduction Over the past several decades, piezoelectric materials have been widely used in electromechanical and electronic devices such as electromechanical actuators, sensors and transducers, due to their excellent piezoelectric and converse piezoelectric effects. Commonly used piezoelectric ceramics such as PZT ceramics are very brittle and hence susceptible to fracture during service so that it is very important to understand the fracturing behavior of piezoelectric materials to ensure reliability of smart structures. However, the fracture behavior of a piezoelectric ceramic u