Abstract
A method to determine the distribution of stresses and displacements in an infinite, linear, elastic, multi-layered medium subjected to static axisymmetric loading is presented in this work. By using axisymmetric governing equations, Hankel's transform and matrix analysis, the methodology gives a clearly arranged way to calculate the stresses and displacements in the medium. A numerical method for Hankel's transform is employed to perform the calculation. Two representative examples are studied. The results can be utilized as a fundamental solution for boundary element methods for the linear, elasto-static, axisymmetric multi-layered problem with a little modification.
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Wang, W., Ishikawa, H. A method for linear elasto-static analysis of multi-layered axisymmetrical bodies using Hankel's transform. Computational Mechanics 27, 474–483 (2001). https://doi.org/10.1007/s004660100258
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DOI: https://doi.org/10.1007/s004660100258