Transient Analysis of Crack in Composite Layered Medium Subjected to Dynamic Loadings
Resource
AIAA Journal 35 (4): 706-711
Journal
AIAA Journal
Journal Volume
35
Journal Issue
4
Pages
706-711
Date Issued
1997
Date
1997
Author(s)
Ing, Yi-Shyong
Abstract
A semi-infinite crack in a layered medium subjected to antiplane dynamic loading is investigated. In analyzing this problem, the fact that the reflections and diffractions of stress waves by the interface boundary and by the crack will generate an infinite number of waves must be taken into account. A useful fundamental solution is proposed, and the solution is determined by superposition of the fundamental solution in the Laplace transform domain. The proposed fundamental problem is the application of exponentially distributed traction (in the Laplace transform domain) on the crack faces. Cagniard's method for Laplace inversion is used to obtain the transient solution in time domain. The final formulations for the stress intensity factor are expressed explicitly and the dynamic effect of each wave is presented in a closed form. The results are valid for an infinite number of waves that are scattered from the crack tip and reflected by the interface. Numerical calculations of dynamic stress intensity factors are evaluated and discussed in detail.
Type
journal article
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