%0 Journal Article
%T Analytical solutions of some internal boundary value problems of elasticity for domains with hyperbolic boundaries
%A Natela Zirakashvili
%J Mathematics and Mechanics of Solids
%@ 1741-3028
%D 2019
%R 10.1177/1081286518805269
%X An analytical solution of two-dimensional problems of elasticity in the region bounded by a hyperbola in elliptic coordinates is constructed using the method of separation of variables. The stress¨Cstrain state of a homogenous isotropic hyperbolic body and that with a hyperbolic cut is studied when there are non-homogenous (non-zero) boundary conditions given on the hyperbolic boundary. The graphs for the numerical results of some test problems are presented
%K Internal boundary value problem
%K separation of variables
%K harmonic function
%K elliptic coordinates
%K hyperbolic boundary
%U https://journals.sagepub.com/doi/full/10.1177/1081286518805269