The Reissner-Sagoci type problem for a non-homogeneous elastic cylinder embedded in an elastic non-homogeneous half-space
Jon George Rokne · IMA Journal of Applied Mathematics · 2004
The problem considered is that of the torsion of a non‐homogeneous elastic cylinder, which is embedded in a non‐homogeneous elastic half‐space (matrix) of different rigidity modulus. A rigid disc is bonded to the flat surface of the cylinder and torque is applied to the cylinder through a rigid disc. It is assumed that there is perfect bonding at the common cylindrical surface. Using integral transformation techniques the solution of the problem is reduced to dual integral equations. Later on the solution of the dual integral equations is transformed into the solution of a Fredholm integral equation of the second kind. Solving the Fredholm integral equation numerically the numerical results for torque and shear stress inside the cylinder are obtained and displayed graphically to demonstrate the effect of non‐homogeneity of the elastic material on the torque and shear stress.