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

Bitsadze, L.

Georgian Math. J. 7, No. 2, 231-244 (2000).

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)

Keywords:

stress intensity; coefficient; two-dimensional crack problem; Comninou formulation; piecewise-homogeneous plane; integral representation formula; displacement vector; system of singular integral equations; solvability; potential method