Abstract
In this paper, the complete double-series in the closed region expressing the doublevariable functions and their partial derivatives are derived by the H-transformation and Stockes' transformation. Using the double-series, a series solution for the axisymmetric boundary value problem of the elastic circular cylinder with finite length is presented.
In a numerical example, the cylinder subjected to the axisymmetric tractions with various loaded regions is investigated and the distributions of the displacements and stresses are obtained.
It is possible to solve the axisymmetric boundary value problems in the cylinderical coordinates for other scientific fields by use of the method presented in this paper.
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Yu, H., Fu-bao, H. An elasticity solution for axisymmetric problem of finite circular cylinder. Appl Math Mech 12, 967–976 (1991). https://doi.org/10.1007/BF02451482
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DOI: https://doi.org/10.1007/BF02451482