Citation: | Rajneesh Kumar, Mandeep Kaur, S. C. Rajvanshi. Wave Propagation at an Interface of Heat Conducting Micropolar Solid and Fluid Media[J]. Applied Mathematics and Mechanics, 2011, 32(7): 826-847. doi: 10.3879/j.issn.1000-0887.2011.07.007 |
[1] |
Eringen A C. Simple microfluids[J]. International Journal of Engineering Science, 1964, 2(2): 205-217. doi: 10.1016/0020-7225(64)90005-9
|
[2] |
Eringen A C. Theory of microfluids[J]. Journal of Applied Mathematics and Mechanics, 1966, 16(1): 1-18.
|
[3] |
Ariman T, Sylvester N D, Turk M A. Microcontinuum fluid mechanics―a review[J]. International Journal of Engineering Science, 1973, 11(8): 905-930. doi: 10.1016/0020-7225(73)90038-4
|
[4] |
Ariman T, Turk M A, Sylvester N D. Applications of microcontinuum fluid mechanics[J]. International Journal of Engineering Science, 1974, 12(4): 273-293. doi: 10.1016/0020-7225(74)90059-7
|
[5] |
Riha P. On the theory of heat-conducting micropolar fluid with microtemperature[J]. Acta Mechanic, 1975, 23(1/2): 1-8. doi: 10.1007/BF01177664
|
[6] |
Eringen A C, Kafadar C B. Polar field theories[C]Eringen A C. Continuum Physics. Vol 4. New York:Academic Press, 1976.
|
[7] |
Brulin O. Linear micropolar media[C]Brulin O, Hsieh R K T. Mechanics of Micropolar Media. Singapore:World Scientific, 1982.
|
[8] |
Aggarwal R S, Dhanapal C. Flow and heat transfer in a micropolar fluid past a flate plate with suction and heat sources[J]. International Journal of Engineering Science, 1988, 26(12): 1257-1266. doi: 10.1016/0020-7225(88)90045-6
|
[9] |
Payne L E,Straughan B. Critical Rayleigh numbers for oscillatory and non linear convection in an isotropic thermomicropolar fluid[J]. International Journal of Engineering Science, 1989, 27(7): 827-836. doi: 10.1016/0020-7225(89)90048-7
|
[10] |
Gorla R S R. Combined forced and free convection in the boundary layer flow of a micropolar fluid on a continuous moving vertical cylinder[J]. International Journal of Engineering Science, 1989, 27(1): 77-86. doi: 10.1016/0020-7225(89)90169-9
|
[11] |
Eringen A C. Theory of micro-stretch and bubbly liquids[J]. International Journal of Engineering Science, 1990, 28(2): 133-143. doi: 10.1016/0020-7225(90)90063-O
|
[12] |
Aydemir N U, Venart J E S. Flow of a thermomicropolar fluid with stretch[J]. International Journal of Engineering Science, 1990, 28 (12): 1211-1222. doi: 10.1016/0020-7225(90)90069-U
|
[13] |
Yerofeyev V I, Soldatov I N. A shear surface wave at the interface of an elastic body and a micropolar liquid[J]. Journal of Applied Mathematics and Mechanics, 1999, 63(2): 277-281. doi: 10.1016/S0021-8928(99)00036-2
|
[14] |
Yeremeyev V A, Zubov L M. The theory of elastic and viscoelastic micropolar liquids[J]. Journal of Applied Mathematics and Mechanics, 1999, 63(5): 755-767. doi: 10.1016/S0021-8928(99)00096-9
|
[15] |
Hsia S Y, Cheng J W. Longitudinal plane waves propagation in elastic micropolar porous media[J]. Japanese Journal of Applied Physics, 2006, 45: 1743-1748. doi: 10.1143/JJAP.45.1743
|
[16] |
Hsia S Y, Chiu S M, Su C C, Chen T H. Propagation of transverse waves in elastic micropolar porous semispaces[J]. Japanese Journal of Applied Physics, 2007, 46: 7399-7405. doi: 10.1143/JJAP.46.7399
|
[17] |
Eringen A C. Linear theory of micropolar elasticity[J]. Journal of Applied Mathematics and Mechanics, 1966, 15: 909-923.
|
[18] |
Biot M. Thermoelasticity and irreversible thermodynamics[J]. Journal of Applied Physics, 1956, 27(3): 240-253. doi: 10.1063/1.1722351
|
[19] |
Lord H, Shulman Y. A generalized dynamical theory of thermoelasticity[J]. Journal of the Mechanics and Physics of Solids, 1967, 15(5): 299-309. doi: 10.1016/0022-5096(67)90024-5
|
[20] |
Muller I M. The coldness, a universal function in thermoelastic bodies[J]. Archive for Rational Mechanics and Analysis, 1971, 41(5): 319-332.
|
[21] |
Green A E, Laws N. On the entropy production inequality[J]. Archive for Rational Mechanics and Analysis, 1972, 45(1): 47-53.
|
[22] |
Green A E, Lindsay K A. Thermoelasticity[J]. Journal of Elasticity, 1972, 2(1): 1-7. doi: 10.1007/BF00045689
|
[23] |
Suhubi E S. Thermoelastic solids[C] Eringen A C. Continuum Physics. 2. Part 2, Chapter 2. New York: Academic Press, 1975.
|
[24] |
Tomar S K, Gogna M L. Reflection and refraction of a longitudinal microrotational wave at an interface between two micropolar elastic solids in welded contact[J]. Journal of Applied Mathematics and Mechanics, 1992, 30(11): 1637-1646.
|
[25] |
Tomar S K, Gogna M L. Reflection and refraction of a longitudinal displacement wave at an interface between two micropolar elastic solids in welded contact[J]. Journal of the Acoustical Society of America, 1995, 97: 827-830.
|
[26] |
Tomar S K, Gogna M L. Reflection and refraction of a coupled transverse and micro-rotational waves at an interface between two different micropolar elastic media in welded contact[J]. International Journal of Engineering Science,1995, 33(4): 485-496. doi: 10.1016/0020-7225(94)00077-8
|
[27] |
Kumar R, Sharma N, Ram P. Reflection and transmission of micropolar elastic waves at an imperfect boundary[J]. Multidiscipline Modelling in Materials and Structures, 2008, 4(1): 15-36. doi: 10.1163/157361108783470388
|
[28] |
Kumar R, Sharma N, Ram P. Interfacial imperfection on reflection and transmission of plane waves in anisotropic micropolar media[J]. Theoretical and Applied Fracture Mechanics, 2008, 49(3): 305-312. doi: 10.1016/j.tafmec.2008.02.007
|
[29] |
Singh D, Tomar S K. Longitudinal waves at a micropolar fluid/solid interface[J]. Journal of Applied Mathematics and Mechanics, 2008, 45(1): 225-244.
|
[30] |
Ciarletta M. Spatial decay estimates for heat conducting micropolar fluids[J]. Journal of Applied Mathematics and Mechanics, 2001, 39(6): 655-668.
|
[31] |
Parfit V R, Eringen A C. Reflection of plane waves from the flat boundary of a micropolar elastic half space[J]. Journal of the Acoustical Society of America, 1969, 45(5): 1258-1272. doi: 10.1121/1.1911598
|
[32] |
Dhaliwal R S, Singh A. Dynamic Coupled Thermoelasticity[M]. New Delhi, India: Hindustan Publication Corporation, 1980.
|
[33] |
Singh B, Kumar R. Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space[J]. Journal of Applied Mathematics and Mechanics, 1998, 36 (7/8): 865-890.
|
[34] |
Schoenberg M. Transmission and reflection of plane waves at an elastic-viscoelastic interface[J]. Geophysics Journal of Royal Astronomical Society, 1971, 25 (1/3): 35-47. doi: 10.1111/j.1365-246X.1971.tb02329.x
|