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Interface crack problem for electroelastic body. (English) Zbl 0966.74022

Summary: A two-dimensional crack problem in the Comninou formulation is investigated for a piecewise-homogeneous plane. Applying a special integral representation formula for the displacement vector, we reduce the problem to a system of singular integral equations. Its solvability is proved using the potential method and the theory of singular integral equations.

MSC:

74F15 Electromagnetic effects in solid mechanics
74R10 Brittle fracture
74M15 Contact in solid mechanics
74G25 Global existence of solutions for equilibrium problems in solid mechanics (MSC2010)
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