Full Field Analysis of an Anti-Plane Interface Crack Subjected to Dynamic Body Forces
Resource
International Journal of Solids and Structures 36 (2): 285-309
Journal
International Journal of Solids and Structures
Journal Volume
36
Journal Issue
2
Pages
285-309
Date Issued
1999
Date
1999
Author(s)
Huang, Kuo-Cheng
Abstract
In this study, the transient full field response of an interface crack between two different media subjected to dynamic body force at one material is investigated. For time t < 0, the bimaterial medium is stress free and at rest. At t = 0, a concentrated anti-plane dynamic point loading is applied at the medium as shown in The configuration and coordinate system of an interface crack in a bimaterial medium. The total wave field is due to the effect of this point loading and the scattering of the incident waves by the interface crack. An alternative methodology that is different from the conventional superposition method is used to construct the reflected, refracted and diffracted wave fields. A useful fundamental solution is proposed in this study and the full field solution is determined by superposition of the fundamental solution in the Laplace transform domain. The proposed fundamental problem is the problem of applying an exponentially distributed traction (in the Laplace transform domain) on the interfacial crack faces. The Cagniard-de Hoop method of Laplace inversion is used to obtain the transient solution in time domain. Exact transient closed form solutions for stresses and stress intensity factors are obtained. Numerical results for the time history of stresses and stress intensity factors during the transient process are discussed in detail.
Other Subjects
Dynamic loads; Interfaces (materials); Laplace transforms; Stress intensity factors; Time domain analysis; Cagniard-de Hoop method; Crack propagation
Type
journal article
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