本文研究主題為運用積分轉換法、奇異性積分方程與切比雪夫多項式法展開於含有限長裂紋之彈壓電複合層板動力破壞分析,文中求得此彈壓電複合層板承受反平面均佈應力與平面均佈電位移時裂紋尖端的應力強度因子和電位移強度因子,最後利用Durbin的數值拉普拉斯逆轉換法求得數值解,並與文獻上已知的結果做比較,以驗證本文結果的準確性。 In this study, the dynamic fracture analysis of a finite crack between purely elastic and piezoelectric laminate is investigated. The purely elastic and piezoelectric laminate is subjected to uniformly anti-plane stress and in-plane electric displacement impacts. The solutions are determined by using integral transforms, singular integral equations, and Chebyshev polynomial expansions. The transient solutions for intensity factors are obtained by Durbin’s numerical inversion of Laplace transform method. The numerical results are evaluated and discussed in detail.