Analysis of Mode-III Cracks under Dynamic Loading
Date Issued
2009
Date
2009
Author(s)
Chen, Jing-Chi
Abstract
The problem of a homogeneous linear elastic body containing multiple collinear cracks under anti-plane dynamic load is considered in this work. The cracks are simulated by distributions of dislocations and an integral equation relating tractions on the crack planes and the dislocation densities is derived. The integral equation in the Laplace transform domain is solved by Gaussian-Chebyshev integration quadrature. The stress intensity factor associated with each crack tip is calculated by a numerical inverse Laplace scheme.
Specifically the cases studied include: a single crack, a pair of cracks of identical or different lengths and three equally spaced cracks of identical length. Comparison of the numerical result for the single crack i with the analytic solution shows that the present method is highly accurate.
Subjects
homogeneous
linear elastic body
infinite domain
anti-plane
dislocation
Type
thesis
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