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具有微极弹性构架的流体-饱和多孔固体中波在边界面处的传播

R·库玛 M·巴拉克

R·库玛, M·巴拉克. 具有微极弹性构架的流体-饱和多孔固体中波在边界面处的传播[J]. 应用数学和力学, 2007, 28(3): 305-316.
引用本文: R·库玛, M·巴拉克. 具有微极弹性构架的流体-饱和多孔固体中波在边界面处的传播[J]. 应用数学和力学, 2007, 28(3): 305-316.
Rajneesh Kumar, Mahabir Barak. Wave Propagation in a Liquid-Saturated Porous Solid With Micropolar Elastic Skeleton at Boundary Surface[J]. Applied Mathematics and Mechanics, 2007, 28(3): 305-316.
Citation: Rajneesh Kumar, Mahabir Barak. Wave Propagation in a Liquid-Saturated Porous Solid With Micropolar Elastic Skeleton at Boundary Surface[J]. Applied Mathematics and Mechanics, 2007, 28(3): 305-316.

具有微极弹性构架的流体-饱和多孔固体中波在边界面处的传播

详细信息
    作者简介:

    R·库玛,教授,博士(E-mail:rajneesh_kuk@rediffmail.com).

Wave Propagation in a Liquid-Saturated Porous Solid With Micropolar Elastic Skeleton at Boundary Surface

  • 摘要: 通过研究匀质非黏性液体半空间和微极流体饱和多孔固体半空间交界面处平面波的反射与透射,得到不同角度入射波的反射和透射系数.计算出反射波与透射波的振幅比数值,并用图表示出微极性和多孔性对反射和透射的影响.最后根据公式对一些特例进行了推导.
  • [1] Biot M A.General solutions of the equations of elasticity and consolidation for a porous material[J].J Appl Mech,1956,23:91-96.
    [2] Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid I.Low-frequency range,II.Higher frequency range[J].J Acoust Soc Am,1956,28:168-191. doi: 10.1121/1.1908239
    [3] Biot M A.Mechanics of deformation and acoustic propagation in porous media[J].J Appl Phys,1962,33:1482-1498. doi: 10.1063/1.1728759
    [4] Deresiewicz H.The effect of boundaries on wave propagation in a liquid-filled porous solid-I:Reflection of plane waves at a free plane boundary(non-dissipative case)[J].Bull Seism Soc Am,1960,50:599-607.
    [5] Deresiewicz H,Rice J T.The effect of boundaries on wave propagation in a liquid-filled porous solid-Ⅲ:Reflection of plane waves at a free plane boundary(genaral case)[J].Bull Seism Soc Am,1962,52:595-625.
    [6] Eringen A C,Suhubi E S.Non-linear theory of simple microelastic solids Ⅰ[J].Int J Engg Sci,1964,2:189-203. doi: 10.1016/0020-7225(64)90004-7
    [7] Suhubi E S,Eringen A C.Non-linear theory of simple microelastic solids Ⅱ[J].Int J Engg Sci,1964,2:389-404. doi: 10.1016/0020-7225(64)90017-5
    [8] Eringen A C.Mechanics of micromorphic materials[A].In:Proc 11th Int Congress Appl Mech[C].Gortler H,Ed.New York:Springer-Verlag,1964.
    [9] Eringen A C.Linear theory of micropolar elasticity[J].J Math Mech,1966,15:909-923.
    [10] Gauthier R D.Mechanics of Micropolar Media[M].Brulin O,Hsieh R K T,Eds.Singapore:World Scientific,1982.
    [11] Yang,Lakes,Biomech J.Experimental study of micropolar and couple stress elasticity in bone in bending[J].J Biomechanics,1982,15:91-98. doi: 10.1016/0021-9290(82)90040-9
    [12] Parfitt V R,Eringen A C.Reflection of plane waves from the flat boundary of a micropolar elastic half-space[J].J Acoust Soc Am,1969,45(5):1258-1272. doi: 10.1121/1.1911598
    [13] Tomar S K,Gogna M L.Reflection and refraction of coupled transverse and microrotational waves at an interface between two different micropolar elastic media in welded contact[J].Int J Engg Sci,1995,33(4):485-496. doi: 10.1016/0020-7225(94)00077-8
    [14] Tomar S K,Kumar R.Reflection and refraction of longitudinal displacement wave at a liquid micropolar solid interface[J].Int J Engg Sci,1995,33(10):1507-1515. doi: 10.1016/0020-7225(95)00015-P
    [15] Konczak Z.Thermo-mechanical effects in fluid-saturated porous media with a micropolar viscoelastic skeletion[J].ZAMM Z angew,Math Mech,1986,66(4):152-154.
    [16] Konczak Z.On wave propagation in fluid-saturated porous media with a micropolar viscoelastic skeleton[J].ZAMM Z angew Math Mech,1987,67(1):201-203.
    [17] Kumar R,Singh B.Reflection and refraction of micropolar elastic waves at an interface between porous elastic solid and micropolar elastic solid[J].Proc Nat Acad Sci India,2000,70(A)(4):397-410.
    [18] Kumar R,Deswal S.Wave propagation in micropolar liquid-saturated porous solid[J].Indian J Pure and Appl Math,2000,31(10):1317-1337.
    [19] Kumar R,Deswal S.Surface wave propagation in a micropolar liquid-saturated porous solid lying under a uniform layer of liquid[J].Bult of Calcutta Mathematical Society, Calcutta,2000,92:99-110.
    [20] Kumar R,Tomar S K.Reflection and transmission of elastic waves at viscous liquid/micropolar elastic solid interface[J].Int J Math and Math Sci,2001,26(11):685-694. doi: 10.1155/S0161171201005415
    [21] Eringen A C.Theory of Micropolar Elasticity in Fracture[M].Chapter 7 of Fracture,Vol Ⅱ.Liebowitz H,Ed.New York:Academic Press,1968.
    [22] Yew C H,Jogi P N.Study of wave motions in fluid saturated porous rocks[J].J Acoust Soc Am,1976,60:2-8. doi: 10.1121/1.381045
    [23] Fatt I.The Biot-Willis elastic Co-efficients for a Sandstone[J].J Appl Mech,1959,26:296-297.
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出版历程
  • 收稿日期:  2005-05-17
  • 修回日期:  2007-01-18
  • 刊出日期:  2007-03-15

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