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Fracture analysis of a mode I magneto-electrically conducting crack in piezo-electro-magneto-elastic medium

Rogowski B.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 4

1267-1295

Within the theory of linear magnetoelectroelasticity, the fracture analysis of a magneto electrically conducting crack embedded in a magneto electro elastic medium is investigated. The prescribed normal stress and two cases of electromagnetic boundary conditions applied at infinity are adopted. Applying the Hankel transform technique, the boundary value problem is reduced to solving three pairs of dual coupling integral equations. These equations are solved exactly. The corresponding semi permeable crack face magneto electric boundary conditions are adopted and the electric displacement and magnetic induction of the crack interior are obtained explicitly. This field inside the crack is dependent on the material properties, applied loadings and the dielectric permittivity and magnetic permeability of the crack interior. Field intensity factors are obtained as explicit expressions.