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Interaction of a screw dislocation with an interface and a nanocrack incorporating surface elasticity

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Abstract

We study the anti-plane deformations of a linearly elastic bimaterial. One phase of the bimaterial is weakened by a finite crack with surface elasticity perpendicular to the interface and is also subjected to a screw dislocation. The surface elasticity is incorporated by using a version of the continuum-based surface/interface model of Gurtin and Murdoch. By considering a distribution of screw dislocations and line forces on the crack, the interaction problem is reduced to two decoupled first-order Cauchy singular integro-differential equations, which can be numerically solved by means of the Chebyshev polynomials and the collocation method. The associated problem of a mode III Zener–Stroh crack perpendicular to a bimaterial interface is also solved.

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Wang, X. Interaction of a screw dislocation with an interface and a nanocrack incorporating surface elasticity. Z. Angew. Math. Phys. 66, 3645–3661 (2015). https://doi.org/10.1007/s00033-015-0576-0

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  • DOI: https://doi.org/10.1007/s00033-015-0576-0

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