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Hou, Yu; He, Fubao

An elastic solution for the axisymmetric problem of a finite circular cylinder. (English) Zbl 0747.73009

Appl. Math. Mech., Engl. Ed. 12, No. 10, 967-976 (1991).
Summary: The complete double-series in the closed region expressing the double- variable 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 cylindrical coordinates by use of the presented method.

MSC:

74B05 Classical linear elasticity
35C10 Series solutions to PDEs

Keywords:

complete double-series; \(H\)-transformation; Stockes transformation; axisymmetric boundary value problem; axisymmetric tractions; cylindrical coordinates
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References:

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