PROPAGATION OF WAVES AT IMPERFECT INTERFACE BETWEEN MICROPOLAR ELASTIC SOLID AND MICROPOLAR VISCOELASTIC SOLID WITH STRETCH
Main Article Content
Abstract
The present investigation deals with a longitudinal wave at imperfect interface separating micropolar elastic solid half space and micropolar viscoelastic solid half space with stretch. A longitudinal wave is considered to be incident on the plane interface through micropolar elastic solid half space. A longitudinal wave impinges obliquely at the interface. Amplitude ratios of various reflected and refracted waves to that of incident wave are derived and deduced for the normal force stiffness, transverse force stiffness and welded contact. After obtaining the amplitude ratios, they have been computed numerically for a specific model and thus results obtained are represented graphically with angle of incidence of incident wave.
Keywords: Amplitude ratio, longitudinal wave, reflection, refraction, stretch, micropolar viscoelastic solid, bonding parameter.
Downloads
Article Details
References
A. Merkel and S. Luding, Enhance micropolar model for wave prorpagation in ordered granular materials, International Journal of Solids and structures, vol. 106 – 107, 91- 105, 2017.
A.C. Eringen, Micropolar elastic solids with stretch, Ari. Kitabevi Matabaasi 24:1-9.
A.C. Eringen and E.S. Suhubi, Nonlinear theory of simple micro-elastic solids I, International Journal of Engineering Science, 2, 189-203, 1964.
A.C. Eringen, Linear theory of micropolar viscoelasticity, International Journal of Engineering Science, 5, 191-204, 1967.
A.C. Eringen, Theory of micropolar elasticity, fracture (New York: Academic Press) vol. 2, 1968.
B. Singh and R. Kumar, Wave reflection at viscoelastic-micropolar elastic interface, Applied Mathematics and Computation, 185, 421-431, 2007.
B. Singh, Reflection and transmission of plane harmonic waves at an interface between liquid and micropolar viscoelastic solid with stretch, Sadhana, 25, 589-600, 2000.
Chong Fu and P. J. Wei, The wave propagation through the imperfect interface between two micropolar solids, Advanced materials research, 803, 419-422, 2013.
E.S. Suhubi and A.C. Eringen, Nonlinear theory of micro-elastic solids II, International Journal of Engineering Science, 2, 389-404, 1964.
N. Kumari, Plane wave propagation at solid-solid imperfect interface, International Journal of Mathematics And Its Applications, 2(3), 63-71, 2014.
N. Kumari, Reflection and Transmission of Longitudinal Wave at Micropolar Viscoelastic Solid/Fluid Saturated Incompressible Porous Solid Interface, Journal of Solid Mechanics Vol. 6(3), 240-254, 2014.
P. Zhang, P. Wei and Y. Li, Reflection of longitudinal displacement wave at the viscoelastically supported boundary of micropolar half - space, Meccanica, 52:1641. doi:10.1007/S11012-016-0514-z, 2016.
R. Kumar, M. L. Gogna and L. Debnath, On Lamb’s problem in a micropolar viscoelastic half- space with stretch, Int. J. Math Sci., 13, 363-327, 1990.
R.D. Gautheir, Experimental investigations on micropolar media, Mechanics of micropolar media (eds) O Brulin, R K T Hsieh (World Scientific, Singapore), p.395, 1982.
S. Shekhar and Imtiyaz A. Parvez, Wave propagation across the imperfectly bonded interface between cracked elastic solid and porous solid saturated with two immiscible viscous fluids, International Journal of Solids and structures, 75-76(1), 299-308, 2015.
S.K. Tomar and M.L. Gogna, Reflection and refraction of longitudinal microrotational wave at an interface between two different micropolar elastic solids in welded contact, International Journal of Engineering Science, 30, 1637-1646, 1992.
V.R. Parfitt and A.C. Eringen, Reflection of plane waves from the flat boundary of a micropolar elastic half space, J. Acoust. Soc. Am., 45, 1258-1272, 1969.
W. Nowacki, The Linear Theory of Micropolar Elasticity, International Centre For Mechanical Sciences, Springer, New York, 1974.