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Elastodynamic Response of a Crack Perpendicular to the Graded Interfacial Zone in Bonded Dissimilar Materials Under Antiplane Shear Impact  

Kim, Sung-Ho (School of Mechanical and Automotive Engineering, Kookmin University)
Choi, Hyung-Jip (School of Mechanical and Automotive Engineering, Kookmin University)
Publication Information
Journal of Mechanical Science and Technology / v.18, no.8, 2004 , pp. 1375-1387 More about this Journal
Abstract
A solution is given for the elastodynamic problem of a crack perpendicular to the graded interfacial zone in bonded materials under the action of anti plane shear impact. The interfacial zone is modeled as a nonhomogeneous interlayer with the power-law variations of its shear modulus and mass density between the two dissimilar, homogeneous half-planes. Laplace and Fourier integral transforms are employed to reduce the transient problem to the solution of a Cauchy-type singular integral equation in the Laplace transform domain. Via the numerical inversion of the Laplace transforms, the values of the dynamic stress intensity factors are obtained as a function of time. As a result, the influences of material and geometric parameters of the bonded media on the overshoot characteristics of the dynamic stress intensities are discussed. A comparison is also made with the corresponding elastostatic solutions, addressing the inertia effect on the dynamic load transfer to the crack tips for various combinations of the physical properties.
Keywords
Bonded Dissimilar Materials; Functionally Graded Materials; Interfacial Zone; Mode III Dynamic Stress Intensity Factors;
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