https://scholars.lib.ntu.edu.tw/handle/123456789/348348
標題: | Transient analysis of a propagating crack with finite length subjected to a horizontally polarized shear wave | 作者: | Ma, Chien-Ching Ing, Yi-Shyong CHIEN-CHING MA |
公開日期: | 1999 | 卷: | 36 | 期: | 30 | 起(迄)頁: | 4609-4627 | 來源出版物: | International Journal of Solids and Structures | 摘要: | In this study, the transient response of a finite crack subjected to an incident horizontally polarized shear wave and then propagated with a constant speed in an unbounded elastic solid is investigated. Initially, the finite crack with crack length l is stress-free and at rest. At time t = 0, an incident horizontally polarized shear wave strikes at one of the crack tips and will arrive at the other tip at a later time. Then, two crack tips propagate along the crack tip line with different velocities as the corresponding stress intensity factors reach their fracture toughness. The correspondent configuration is shown in Configuration and coordinate systems of a finite crack in an unbounded medium. In analyzing this problem, diffracted waves generated by two propagating crack tips must be taken into account and it makes the analysis extremely difficult. In order to solve this problem, the transform formula in the Laplace transform domain between moving and stationary coordinates is first established. Complete solutions are determined by superposition of proposed fundamental solutions in the Laplace transform domain. The fundamental solutions to be used are from the problems of applying exponentially distributed traction and screw dislocation on crack faces and along the crack tip line, respectively. The exact transient solutions of dynamic stress intensity factor for the first few diffracted waves that arrive at two crack tips are obtained and expressed in compact formulations. Numerical calculations of dynamic stress intensity factors for both tips are evaluated and the results are discussed in detail. |
URI: | http://www.scopus.com/inward/record.url?eid=2-s2.0-0032624178&partnerID=MN8TOARS http://scholars.lib.ntu.edu.tw/handle/123456789/348348 https://www.scopus.com/inward/record.uri?eid=2-s2.0-0032624178&doi=10.1016%2fS0020-7683%2898%2900207-8&partnerID=40&md5=50a7364375ecd5b722ba39e491b9f620 |
ISSN: | 00207683 | SDG/關鍵字: | Calculations; Elasticity; Fracture toughness; Laplace transforms; Shear waves; Stress intensity factors; Velocity; Crack length; Crack tips; Crack propagation |
顯示於: | 機械工程學系 |
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