Summary
A closed-form analytical solution is given for the stress field due to a screw dislocation interacting with nearby inclusions (the fibers) in a fiber-reinforced composite material. The dislocation is assumed near one of the inclusions, while the influence of other surrounding inclusions on the dislocation is taken into consideration through the three-phase composite cylinder model. The formulation procedure is based on the Muskhelishvili complex variable method of elasticity theory. The force on the dislocation is then derived. It is shown that, in comparison with the two-phase model adopted by Dundurs, the three-phase model allows the dislocation to have equilibrium positions near the fiber.
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Xiao, Z.M., Chen, B.J. A screw dislocation interacting with inclusions in fiber-reinforced composites. Acta Mechanica 155, 203–214 (2002). https://doi.org/10.1007/BF01176243
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DOI: https://doi.org/10.1007/BF01176243