Elastodynamic solution for plane-strain response of functionally graded thick hollow cylinders by analytical method |
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Authors: | Email author" target="_blank">M?NikkhahEmail author F?Honarvar E?Dehghan |
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Institution: | Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran 1999143344, Iran |
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Abstract: | An elastodynamic solution for plane-strain response of functionally graded thick hollow cylinders subjected to uniformly-distributed
dynamic pressures at boundary surfaces is presented. The material properties, except Poisson’s ratio, are assumed to vary
through the thickness according to a power law function. To achieve an exact solution, the dynamic radial displacement is
divided into two quasi-static and dynamic parts, and for each part, an analytical solution is derived. The quasi-static solution
is obtained by means of Euler’s equation, and the dynamic solution is derived using the method of the separation of variables
and the orthogonal expansion technique. The radial displacement and stress distributions are plotted for various functionally
graded material (FGM) hollow cylinders under different dynamic loads, and the advantages of the presented method are discussed.
The proposed analytical solution is suitable for analyzing various arrangements of hollow FGM cylinders with arbitrary thickness
and arbitrary initial conditions, which are subjected to arbitrary forms of dynamic pressures distributed uniformly on their
boundary surfaces. |
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Keywords: | functionally graded material elastodynamic solution hollow cylinder power law function |
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