JP Journal of Solids and Structures
Volume 1, Issue 2, Pages 165 - 180
(July 2007)
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DYNAMIC STRESS INTENSITY FACTORS AROUND THREE RECTANGULAR CRACKS IN AN INFINITE ELASTIC MEDIUM UNDER AN IMPACT LOAD
Shouetsu Itou (Japan)
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Abstract:
Transient dynamic stresses around three coplanar cracks in an infinite elastic medium have been solved. Two equal rectangular cracks are placed on either side of a centrally situated rectangular crack to allow for geometrical symmetry. A self-equilibrated system of pressure is applied suddenly on the surfaces of the cracks. To solve the problem of the transient dynamic stresses, two kinds of solutions are super-imposed. One is a solution for a rectangular crack in an infinite elastic medium and the other is for two rectangular cracks, also in an infinite elastic medium. Unknown coefficients in the combined solution are determined to satisfy the boundary conditions at the surfaces of the cracks using the Schmidt method. Stress intensity factors are defined in the Laplace transform domain and inverted numerically in physical space using the Miller and Guy’s method. |
| Keywords and phrases: dynamic stress intensity factor, transient problem, three rectangular cracks, numerical Laplace inversion, fracture mechanics. |
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