Zabarankin M. The Exact Solution of Boundary-Value Problems for Elastic Medium with a Spindle-shaped Inclusion

Mechanical characteristics of elastic medium with spindle-shaped inclusion. Construct exact analytical solution for the second fundamental boundary-value problem of elasticity, construct analog of Schwarz formulas for x-analytical functions. Investigation method ? reduction of the Lame equation to the boundary-value problem for analytical function or to Fredholm integral equation. The representation forms of the dilatation components are suggested as algebraic combinations of harmonic functions. The exact solution of the displacement boundary-value problem of elasticity is constructed. The analog of Schwarz formulas for generalized analytical functions is obtained. The relation between functional equation on three parallel contours and Riemman vector boundary-value problem with discontinued coefficient matrix is found.