Propagation of torsional waves in a prestretched compound hollow circular cylinder |
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| Authors: | A Ozturk S D Akbarov |
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| Institution: | (1) Department of Physics, Faculty of Arts and Sciences, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, 34210, Turkey;(2) Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, 34210, Turkey;(3) Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, 370141 Baku, Azerbaijan |
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| Abstract: | The propagation of torsional waves in a prestressed compound (bi-layered) hollow circular cylinder is in vestigated within
the frame work of a piecewise homogeneous body model, with the use of a three-dimensional linerized theory of elastic waves
in initially stressed bodies. The elasticity relations for components of the compound cylinder are obtained from the Murnaghan
potential. Numerical investigations are performed for bronze and steel. According to the results obtained, the effect of variations
in the geometric (the ratio between the thickness of the cylinder and its inner radius) and mechanical parameters on the dispersion
curves are analyzed.
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 44, No. 1, pp. 103–116, January–February, 2008. |
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| Keywords: | propagation of torsional waves compound hollow circular cylinder dispersion initial stress nonlinear material third-order elastic constants |
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