含界面裂紋之雙異質壓電材料暫態解析

Transient Analysis of an Interface Crack between Two Dissimilar Piezoelectric Materials

黃俊元(Chun-Yuan Huang)

指導教授 ： 應宜雄

淡江大學/工學院/航空太空工程學系碩士班/碩士(2006年)

https://doi.org/10.6846/TKU.2006.00541

摘要

本文研究內含電極邊界條件之界面裂紋的壓電複合材料動力破壞問題，解析一含半無限長界面裂紋之六角雙異層壓電材料複合層板，於裂紋面上施加反平面均佈動力載荷之暫態效應。本文使用積分轉換法與Wiener-Hopf技巧推導壓電材料於拉普拉氏轉換域中之解，接著使用Cagniard-de Hoop方法來作拉普拉斯逆轉換得到時域中的全場暫態解析解，並求出應力強度因子與電位移強度因子等解析解。文中並對表面波存在的條件做詳細之研究，最後，將針對應力與電位移之暫態解做數值計算與討論。

關鍵字

壓電材料 ； 界面裂紋 ； 應力強度因子 ； 動力破壞

並列摘要

In this study, the transient response of a semi-infinite interface crack between two dissimilar piezoelectric materials with the electrode boundary condition is investigated. The interface crack is subjected to dynamic anti-plane uniform loading on the crack faces. The problem is solved by the application of integral transform methods and the Wiener-Hopf technique. Exact analytical transient full-field solutions for displacements, shear stresses, electric potentials, electric displacements, and intensity factors are obtained by using the Cagniard-de Hoop method of Laplace inversion. The existence condition of a propagating surface wave along the interface is studied in detail. Finally, numerical results are evaluated and discussed in detail.

並列關鍵字

piezoelectric material ； interface crack ； stress intensity factor ； dynamic fracture

參考文獻

蔡忠翰 (2005)，含界層裂紋之彈壓電複合材料之動力破壞分析，淡江大學航空太空工程學所碩士論文。

Albert C. To, Shaofan Li and Steven D. Glaser (2005) “On scattering in dissimilar piezoelectric materials by a semi-infinite interfaceial crack ”

Achenbach, J. D., (1973) “Wave Propagation in Elastic Solids,” Elsevier, New Work.

Bleustein, J. L., (1968) “A new surface wave in piezoelectric materials,’ Applied Physics Letters, Vol. 13, pp. 412-413.

Chen, Z. T., (1998) “Crack tip field of an infinite piezoelectric strip under anti-plane impact,”Machenics Research Communications, Vol. 25, pp. 313-319.