Investigation of plane longitudinal waves in a micro-isotropic, micro-elastic solid

K. Somaiah, A. Ravi Kumar

Abstract


In the frame work of plane harmonic wave solution, we investigate the phase velocities of longitudinal micro-rotational (MR), micro-isotropical (MI), and micro strain (MS) waves. Two sets of MR waves, one set of MI and MS waves are obtained. These waves are dispersive in nature. Micro non-rotational (MNR) waves are obtained as a particular case of MR waves. Micro-isotropical shear (MIS) and micro strain shear (MSS) waves are obtained as a particular case of MI and MS waves. MNR waves are dispersive in nature, while MIS and MSS waves are non-dispersive and they depend only on elastic constants. With the help of MATLAB programme, numerical example is considered, and speeds are plotted against frequency ratios and wave number.

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Published: 2020-12-04

How to Cite this Article:

K. Somaiah, A. Ravi Kumar, Investigation of plane longitudinal waves in a micro-isotropic, micro-elastic solid, J. Math. Comput. Sci., 11 (2021), 380-391

Copyright © 2021 K. Somaiah, A. Ravi Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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