Abstract

The present paper concerns a Somigliana dislocation that produces a state of generalized plane strain in an infinite anisotropic elastic medium with a circular cylindrical hole. The elastic state is determined when either the displacements or the tractions are prescribed on the boundary of the hole, while the stresses and the elastic rotation vanish at infinity. A more general boundary-value problem, occuring when simulating the core of crystal dislocations by non-linear elasticity, is also being solved.

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