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Structural Engineering and Mechanics Volume 67, Number 3, August10 2018 , pages 277-281 DOI: https://doi.org/10.12989/sem.2018.67.3.277 |
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Transient analysis of two dissimilar FGM layers with multiple interface cracks |
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Mehrdad Fallahnejad, Rasul Bagheri and Masoud Noroozi
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| Abstract | ||
| The analytical solution of two functionally graded layers with Volterra type screw dislocation is investigated under anti-plane shear impact loading. The energy dissipation of FGM layers is modeled by viscous damping and the properties of the materials are assumed to change exponentially along the thickness of the layers. In this study, the rate of gradual change of shear moduli, mass density and damping constant are assumed to be same. At first, the stress fields in the interface of the FGM layers are derived by using a single dislocation. Then, by determining a distributed dislocation density on the crack surface and by using the Fourier and Laplace integral transforms, the problem are reduce to a system of singular integral equations with simple Cauchy kernel. The dynamic stress intensity factors are determined by numerical Laplace inversion and the distributed dislocation technique. Finally, various examples are provided to investigate the effects of the geometrical parameters, material properties, viscous damping and cracks configuration on the dynamic fracture behavior of the interacting cracks. | ||
| Key Words | ||
| two FGM layers; viscous damping; transient anti-plane loading; several interface cracks | ||
| Address | ||
| Mehrdad Fallahnejad, Rasul Bagheri and Masoud Noroozi: Department of Mechanical Engineering, Mechatronics Faculty, Karaj Branch, Islamic Azad University, Alborz, Iran | ||