Nugzar Shavlakadze
abstract:
A piecewise-homogeneous viscoelastic plate, weakened by a finite crack, which
meets the interface at a right angle, is considered. The crack boundary is
loaded with normal symmetric forces. Using the analogues of the
Kolosov-Mushkelishvili formulas of viscoelasticity theory, the complex
potentials are determined and a system of singular integral equations of the
first kind with respect to jump of the normal displacement is obtained. The
asymptotic behavior of a solution of the resulting system is investigated. In
the particular case, using the methods of the theory of analytic functions, the
solution to the problem is presented in explicit form. The behavior of normal
contact stresses in the neighborhood of singular points is established.
Mathematics Subject Classification: 74D05, 45F15
Key words and phrases: Viscoelasticity theory, the boundary value problems, singular integral equations, Fourier transformation, asymptotic estimates