A method for linear elasto-static analysis of multi-layered axisymmetricalbodies using Hankel's transform

A method to determine the distribution of stresses and displacements in an infinite, linear, elastic, multi-layered medium subjected to static axisymm etric loading is presented in this work. By using axisymmetric governing eq uations, Hankel's transform and matrix analysis, the methodology gives a cl early arranged way to calculate the stresses and displacements in the mediu m. A numerical method for Hankel's transform is employed to perform the cal culation. Two representative examples are studied. The results can be utili zed as a fundamental solution for boundary element methods for the linear, elasto-static, axisymmetric multi-layered problem with a little modificatio n.