Transient Response of a Finite Crack in Linearly Elastic Composite Strips

• Main Authors: Shih-Ta Lin, 林世達
• Other Authors: Yi-Shyong Ing
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/26918805230526465991

碩士 === 淡江大學 === 航空太空工程學系碩士班 === 97 === In this study, the transient response of a finite crack lying on the interface of a linearly elastic composite strip is investigated. The laminate is subjected to uniformly dynamic anti-plane loading on the free surfaces. This transient problem can be treated as the superposition of two problems. Problem 1 considers a crack-free laminate subjected to uniformly dynamic anti-plane loading on the free surfaces. While problem 2 concerns a linearly elastic laminate containing an interfacial crack with the crack faces subjected to the loads that cancel out the shear stress induced by problem 1. The solution procedures are based on the use of integral transforms, singular integral equations and Chebyshev polynomial expansions. Durbin’s method is used to carry out the numerical inversion of Laplace transform. The numerical results are evaluated and discussed in detail. Furthermore, the accuracy is examined through some specified cases in the literature.