The Somigliana Ring Dislocation Revisited

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The Somigliana ring dislocation revisited

The Somigliana ring dislocation revisited. 2. Half space solutions 5 infinite elastic half space be related to a single function Ω(ρ,ζ) so that ψo0Ω,ζ, (16) φo(ρ,ζ) = Ω,ζ, (17) Here we use the coordinates normalised with respect to the dislocation ring radius a: ρ= r/a,ζ= z/a, and ζ0 = z0/a, where z0 is the axial

The Somigliana ring dislocation revisited

The Somigliana ring dislocation revisited. 1. Infinite space solutions 3 2. Potential functions Papkovich [16] introduced a complete, general solution to the equations of the theory of elasticity in terms of four harmonic potential func-tions: the scalar potential ψand a vector potential φ = (φ 1,φ 2,φ 3).