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Axisymmetric longitudinal wave propagation in a finite pre-strained compound circular cylinder made from compressible materials

Surkay D. Akbarov1,2,3, Mugan S. Guliev4
1 Corresponding author. E-mail: akbarov@yildiz.edu.tr
2 Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering, Yildiz Campus, 34349, Besitas, Istanbul, Turkey.
3 Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, 37041, Baku, Azerbaijan.
4 Genje State University Fac. General Tech. Discip. Dep. Physic. Genje, Azerbaijan.

Computer Modeling in Engineering & Sciences 2009, 39(2), 155-178. https://doi.org/10.3970/cmes.2009.039.155

Abstract

The axisymmetric longitudinal wave propagation in a finite pre-strained compound (composite) cylinder is investigated within the scope of a piecewise homogeneous body model utilizing three-dimensional linearized theory wave propagation in an initially stressed body. The materials of the inner and outer cylinder are assumed to be compressible. The elasticity relations for those are given through the harmonic potential. The algorithm for constructing of the computer programmes and obtaining numerical results is discussed. The numerical results regarding the influences of the initial strains in the inner and outer cylinders on the wave dispersion are presented and analysed. These results are obtained for the case where the material of the inner solid cylinder is stiffer than that of the outer hollow cylinder. In particular, it is established that the initial stretching of the cylinders causes the wave propagation velocity to increase.

Keywords

Compound cylinder, finite initial strain, wave dispersion, compressible material

Cite This Article

Akbarov, S. D., Guliev, M. S. (2009). Axisymmetric longitudinal wave propagation in a finite pre-strained compound circular cylinder made from compressible materials. CMES-Computer Modeling in Engineering & Sciences, 39(2), 155–178.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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