**N. Khomasuridze**

## Representation of Solutions of Some Boundary
Value Problems of Elasticity by a Sum of the Solutions of Other Boundary Value
Problems

**abstract:**

Basic static boundary value problems of elasticity are considered for a
semi-infinite curvilinear prism $\Omega=\{\rho_0<\rho<\rho_1,$
$\alpha_0<\alpha<\alpha_1,$ $0<z<\infty\}$ in generalized

cylindrical coordinates $\rho,$ $\alpha$, $z$ with Lam\'{e} coefficients $h_\rho=h_\alpha=h(\rho,\alpha),$
$h_z=1$. It is proved that the solution of some boundary value problems of
elasticity can be reduced to the sum of solutions of other boundary value
problems of elasticity. Besides its cognitive significance, this fact also
enables one to solve some non-classical elasticity problems.