Asian Journal of Engineering and Applied Technology (AJEAT)
Edge Waves in an Initially Stressed Visco-Poroelastic Plate under Plane Stress Condition
Author : Rajitha Gurijala and Malla Reddy PeratiVolume 8 No.2 April-June 2019 pp 30-33
Abstract
The purpose of this paper is to investigate the propagation of edge waves in a homogeneous visco-poroelastic plate which is initially stressed in horizontal direction. The pertinent governing equations are derived and the frequency equation is obtained in the framework of Biot’s theory. Frequency and attenuation are computed as a function of wavenumber. For the numerical process, solids namely, sandstone saturated with kerosene, sandstone saturated with water is considered and the results are presented graphically.
Keywords
Visco-Poroelastic Plate, Initial Stress, Frequency,Attenuation
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References
[1] R. D. Mindlin, “Flexural vibrations of rectangular plates with free edges”, Mechanics Research Communications, Vol. 13, pp. 349-357, 1986.
[2] K. Malekadeh, M. R. Khalili, and R. K. Mittal, “Local and global damped vibrations of plates with a viscoelastic soft flexible core: an improved high-order approach”, Journal of Sandwich Structures & Materials, Vol. 7, No. 5, pp. 431-456, 2005.
[3] K. Abhishek Singh, Anirban Lakshman, and Amares Chattopadhyay, “The plane waves at the edge of a uniformly pre-stressed fiber-reinforced plate”, Journal of Vibration and Control, Vol. 22, No. 10, pp. 2530-2541, 2016.
[4] N. Kumari, A. Chattopadhyay, S. A. Sahu, and A. K. Singh, “Edge waves in an initially stressed visco-elastic plate”, in Proc. International Conference on Vibration Problems, ICOVP-2015, Journal of Physics: Conference Series 662, 2015.
[5] Marco Amabili, “Nonlinear vibrations of viscoelastic rectangular plates”, Journal of Sound and Vibration, Vol. 362, pp. 142–156, 2016.
[6] Santimoy Kundu, and Manisha Maity, “Edge wave propagation in an initially stressed dry sandy plate”, in Proc. 11th International Symposium on Plasticity and Impact Mechanics, Implast 2016, Procedia Engineering, Vol. 173, pp. 1029 – 1033, 2017.
[7] M. A. Biot, “The theory of propagation of elastic waves in fluid-saturated porous solid”,J. Acous.Soc.Am., Vol. 28, pp. 168-178, 1956.
[8] M. Tajuddin, “Rayleigh waves in poroelastic half-space”, J. Acoust. Soc. America., Vol. 75, pp. 682-684, 1984.
[9] M. Tajuddin, and P. Buchi Lingam, “Propagation of surface waves in a poroelastic solid layer lying over an elastic solid”, Acta. Geophys. Pol., Vol. 38, pp. 279-287, 1990.
[10] M. Tajuddin, and Syed Iqbal Ahmed, “Dynamic interaction of a poroelastic layer and a half-space”, J. Acoust. Soc. America., Vol. 89, No. 3, pp. 1169-1175, 1991.
[11] P. Malla Reddy, and M. Tajuddin, “Edge waves in poroelastic plate under plane stress conditions”, J. Acoust. Soc. America., Vol. 114, pp.185-193, 2003.
[12] S. Ahmed Shah, and M. Tajuddin, “Three dimensional vibration analysis of an infinite poroelastic plate immersed in an inviscid elastic plate”, Int. J. of Engineering Science and Technology, Vol. 3, No.2, pp. 1-11, 2011.
[13] Neelam Kumari, and Assem Miglani, “Plane strain deformation of a poroelastic half space in welded contact with an isotropic elastic half space”, Int. J. of Engineering and Technology, Vol. 2, No. 1, pp. 44-59, 2013.
[14] B. Sandhya Rani, P. Malla Reddy, and G. Gangadhar Reddy, “Dispersion study of plane strain vibrations in poroelastic solids bars with polygonal cross section”, Mathematics and Mechanics of Solids, Vol. 22, No. 1, pp. 38-52, 2015.
[15] I. Fatt, “The Biot-Willis elastic coefficient for a sand stone”, Journal of Applied Mechanics, pp. 296-297, 1957.
[16] C. H. Yew, and P. N. Jogi, “Study of wave motions in fluid-saturated porous rocks”, Journal of the Acoustical Society of America, Vol. 60, pp. 2-8, 1976.
[17] P. Malla Reddy, and B. Sandhya Rani, “Study of radial vibrations in cylindrical bone in the framework of transversely isotropic poroelasticity”, Journal of Vibration and Control, Vol.22, No. 5, pp. 1276-1287, 2016.