Elastic Wave Propagation at Imperfect Boundary of Micropolar Elastic Solid and Fluid Saturated Porous Solid Half-Space
الموضوعات :
1 - Department of Mathematics, Chaudhary Devi Lal University, Sirsa, Haryana, India
2 - Department of Mathematics, Chandigarh University, Gharuan, Mohali, Punjab, India
الکلمات المفتاحية: Amplitude ratios, Stiffness, Reflection, Longitudinal wave, Transmission, Transverse wave, Porous solid, Micro polar elastic solid,
ملخص المقالة :
This paper deals with the reflection and transmission of elastic waves from imperfect interface separating a micropolar elastic solid half-space and a fluid saturated porous solid half-space. Longitudinal and transverse waves impinge obliquely at the interface. Amplitude ratios of various reflected and transmitted waves are obtained and computed numerically for a specific model and results obtained are depicted graphically with angle of incidence of incident waves. It is found that these amplitude ratios depend on angle of incidence of the incident wave, imperfect boundary and material properties of half-spaces. From the present study, a special case when fluid saturated porous half-space reduces to empty porous solid is also deduced and discussed graphically.
[1] Barak M.S., Kaliraman V., 2017, Reflection and refraction phenomena of elastic wave propagating through imperfect interface of solids, International Journal of Statistika and Mathematika 24(1): 01-11.
[2] Barak M.S., Kaliraman V., 2018, Propagation of elastic waves at micro polar viscoelastic solid/fluid saturated incompressible porous solid interface, International Journal of Computational Methods 15(1): 1850076(1-19).
[3] Barak M.S., Kaliraman V., 2018, Reflection and transmission of elastic waves from an imperfect boundary between micro polar elastic solid half space and fluid saturated porous solid half space, Mechanics of Advanced Materials and Structures 2018: 1-8.
[4] Bowen R.M., 1980, Incompressible porous media models by use of the theory of mixtures, International Journal of Engineering Science 18: 1129-1148.
[5] De Boer R., Liu Z., 1994, Plane waves in a semi-infinite fluid saturated porous medium, Transport in Porous Media 16(2): 147-173.
[6] De Boer R., Didwania A.K., 2004, Two phase flow and capillarity phenomenon in porous solid- A Continuum Thermomechanical Approach, Transport in Porous Media 56: 137-170.
[7] De Boer R., Ehlers W., 1990, The development of the concept of effective stress, Acta Mechanica 83: 77-92.
[8] De Boer R., Ehlers W., 1990, Uplift friction and capillarity-three fundamental effects for liquid-saturated porous solids, International Journal of Solids and Structures 26: 43-47.
[9] De Boer R., Ehlers W., Liu Z., 1993, One-dimensional transient wave propagation in fluid-saturated incompressible porous media, Archive of Applied Mechanics 63(1): 59-72.
[10] Eringen A.C., Suhubi E.S., 1964, Nonlinear theory of simple micro-elastic solids I, International Journal of Engineering Science 2: 189-203.
[11] Eringen A.C., 1968, Linear theory of micro polar elasticity, International Journal of Engineering Science 5: 191-204.
[12] Gautheir R.D., 1982, Experimental Investigations on Micro polar Media, Mechanics of Micro polar Media, World Scientific, Singapore.
[13] Kaliraman V., 2016, Propagation of P and SV waves through loosely bonded solid/solid interface, International Journal of Mathematics Trends and Technology 52(6): 380-392.
[14] Kumar R., Madan D.K., Sikka J.S., 2014, Shear wave propagation in multilayered medium including an irregular fluid saturated porous stratum with rigid boundary, Advances in Mathematical Physics 2014: 163505.
[15] Kumar R., Madan D.K., Sikka J.S., 2015, Wave propagation in an irregular fluid saturated porous anisotropic layer sandwiched between a homogeneous layer and half space, Wseas Transactions on Applied and Theoretical Mechanics 10: 62-70.
[16] Kumar R., Hundal B.S., 2007, Surface wave propagation in fluid-saturated incompressible porous medium, Sadhana 32 (3): 155-166.
[17] Kumar R., Chawla V., 2010, Effect of rotation and stiffness on surface wave propagation in elastic layer lying over a generalized thermo-diffusive elastic half-space with imperfect boundary, Journal of Solid Mechanics 2(1): 28-42.
[18] Kumar R., Barak M., 2007, Wave propagation in liquid-saturated porous solid with micro polar elastic skeleton at boundary surface, Applied Mathematics and Mechanics 28(3): 337-349.
[19] Kumari N., 2014, Reflection and transmission of longitudinal wave at micro polar viscoelastic solid/fluid saturated incompressible porous solid interface, Journal of Solid Mechanics 6(3): 240-254.
[20] Kumari N., 2014, Reflection and transmission phenomenon at an imperfect boundary of viscoelastic solid and fluid saturated incompressible porous solid, Bulletin of Mathematics and Statistics Research 2(3): 306-319.
[21] Liu Z., 1999, Propagation and evolution of wave fronts in two-phase porous media, Transport in Porous Media 34: 209-225.
[22] Madan D.K., Kumar R., Sikka J.S., 2014, Love wave propagation in an irregular fluid saturated porous anisotropic layer with rigid boundary, Journal of Applied Sciences Research 10(4): 281 - 287.
[23] Parfitt V.R., Eringen A.C., 1969, Reflection of plane waves from the flat boundary of a micro polar elastic half-space, Journal of the Acoustical Society of America 45: 1258-1272.
[24] Singh B., Kumar R., 2007, Wave reflection at viscoelastic-micro polar elastic interface, Applied Mathematics and Computation 185: 421-431.
[25] Tajuddin M., Hussaini S.J., 2006, Reflection of plane waves at boundaries of a liquid filled poroelastic half-space, Journal Applied Geophysics 58: 59-86.
[26] Tomar S.K., Gogna M.L., 1992, Reflection and refraction of longitudinal micro rotational wave at an interface between two different micro polar elastic solids in welded contact, International Journal of Engineering Science 30: 1637-1646.
[27] Tomar S.K., Kumar R., 1995, Reflection and refraction of longitudinal displacement wave at a liquid micro polar solid interface, International Journal Engineering Sciences 33: 1507-1515.
