Abstract
The solution of a dynamic Volterra-type screw dislocation in a functionally graded (FG) orthotropic layer is obtained. The energy dissipation in the material is taken into account, and it is modeled by viscous damping. Material properties of the layer are assumed to vary exponentially in the thickness direction. However, the rate of gradation of shear moduli and the rate of change in mass density are different, and the rate of change in damping coefficient is a linear combination of these two rates. The dislocation solution is utilized for the analysis of cracks parallel to the layer boundary.
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Vafa, J.P., Baghestani, A.M. & Fariborz, S.J. Transient screw dislocation in exponentially graded FG layers. Arch Appl Mech 85, 1–11 (2015). https://doi.org/10.1007/s00419-014-0896-0
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DOI: https://doi.org/10.1007/s00419-014-0896-0