非均匀饱和土中平面波的传播特性
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
基于Biot多孔介质理论,假设材料物理力学特性沿厚度方向连续变化,利用回传射线矩阵法(RRMM),建了非均匀饱和土平面波动问题的弥散方程,其中考虑了土体的非均匀性、惯性、粘滞以及固体颗和流体的可压缩性.通过数值算例,分析了非均匀饱和土中的弹性波的传播特性,结果表明:两类纵波的波数和耗散沿材料特性变化的方向变化不大,而非均匀性对横波的波数和耗散有着明显的影响.
引文
1Biot M A.Theory of elastic waves in a fluid-saturated porous solid,I.Low frequency range.J Acoustical Society of America,1956,28:168-178
    2Biot M A.Theory of elastic waves in a fluid-saturated porous solid,II.High frequency range.J Acoustical Society of AInerica,1956,28:179-191
    3Biot M A.Mechanics of deformation and acoustic propagation in porous dissipative media.J Appl Phys,1962,33:1482-1498
    4Biot M A.Generalized theory of acoustic propagation in porous dissipative media.J Acoustical Society of Amebic,1962,34:1254-1264
    5Geertsma J,Smit D C.Some aspects of elastic wave propagation in fluid-saturated porous solids.Geophys,1961,2:169-181
    6Ishihara K.Approximate forms of wave equations for water-saturated porous materials and related dynamic moduli.Soil and Foundations,1970,10(4):10-38
    7Bryan G M,Stoll R D.The dynamic shear modulus of marine sediments.J Acoustical Society of America,1988,83:2159-2164
    8Stoll R D.Experimental studies of attenuation in sediments.J Acoustical Society of America,1979,66(4):1152-1160
    9门福录.地震波在含水地层中的弥散和耗散.地球物理学报,1984,27(l):64-73
    10陈龙珠,吴世明,曾国熙.弹性波在饱和土层中的传播.力学学报,1987,19(3):276-283
    11王立忠,陈云敏,吴世明,等.饱和弹性半空间在低频谐和集中力下的积分形式解.水利学报,1996,2:84-89
    12吴世明.土介质中的波.北京:科学出版社,1997
    13杨峻,吴世明,蔡袁强.饱和土中弹性波的传播特性.振动工程学报,1996,9(2):128-137
    14胡亚元,王立忠,陈云敏,等.弹性波在横向各向同性弹性土和饱和土界面上的反射与透射.地震学报,1998,20(6):598-606
    15丁伯阳,党改红,袁金华.Green函数对饱和土隧道内集中荷载作用振动位移反应的计算.振动与冲击,2009,28:110-114
    16夏唐代,颜可珍,孙鸣宇.饱和土层中瑞利波的传播特性.水利学报,2004,1:81-84
    17Kim S H,Kim K J,Blouin S E.Analysis of wave propagation in saturated porous media.I.Theoretical solution.Computer Methods in Applied Mechanics and Engineering,2002,191:4061-4073
    18Mesgouez A,Lefeuve-Mesgouez G,Chambarel A.Transient mechanical wave propagation in semi-infinite porous media using a finite element approach.Soil Dynamics and Earthquake Engineering,2005,25:21-430
    19Lo W C,Yeh C L,Jan C D.Effect of soil texture and excitation frequency on the propagation and attenuation of acoustic waves at saturated conditions.J Hydrology,2008,357:270-281
    20Lo W C,Sposito G,Majer E.Low-frequency dilatational wave propagation through fully-saturated poroelastic media.Adv Water Resources,2006,29:408-416
    21Bowen R M.Theory of mixtures.In:AC Eringen ed.Continuum Physics,Vol III.New York,San Francisco.London:Academic Press,1976[中译本]董务民,等译.混合物理论.现代连续系统物理丛书13.南京:江苏科技出版社,1983
    22李向维,李相约.饱和孔隙介质的质量耦合波动问题.应用数学和力学,1989,10(4):309-314
    23Wei C F,KanthasamyK M.A continuum theory of porous media saturated by multiple immiscible fluids:1.Linear poroelastciity.Int J Eng Sci,2002,40:1807-1833
    24张燕,杨骁.不可压饱和粘弹性多孔介质中的Rayleigh波.上海大学学报(自然科学版),2007,13(1):62-67
    25de Boer R.Contemporary progress in porous media theory.Appl Mech Rev,2000,53:323-369
    26Ke L L,Wang Y S,Zhang Z M.Propagation of love waves in an inhomogeneous fluid saturated porous layered half-space with properties varying exponentially.J Eng Mech,2005,131(12):1322-1328
    27Ke L L,Wang Y S,Zhang Z M.Love Wave in an inhomogeneous fluid saturated porous layered half space with linearly varying properties.Soil Dynamics and Earthquake Engineering,2006,26(6/7):574-581
    28Zhou X L,Xu B,Wang J H,et al.An analytical solution for wave-induced seabed response in a multi-layered poro-elastic seabed.Ocean Eng,2011,38:119-129
    29周凤玺,赖远明.梯度饱和土瞬态响应分析.力学学报,2012,44(5):943-947
    30Hirai H,Chen L.Recent and prospective development of FGM in Japan.Mater Sci Forum,1999,308/311:509-514
    31雷鸣,廖红建,黄理兴,等.应力波在功能梯度土介质中传播的特性研究.岩石力学与工程学报,2005,24(s1):4798-4804
    32Pao Y H,Keh D C,Howard S M.Dynamic response and wave propagation in plane trusses and frames.AIAA J,1999,37:594-603
    33Pao Y H,Su X Y,Tian J Y.Reverberation matrix method for propagation of sound in a multilayered liquid.J Sound Vib,2000,230:743-760
    34Su X Y,Tian J Y,Pao Y H.Application of the reverberation-ray matrix to the propagation of elastic waves in a layered solid.Int J Solids Struct,2002,39:5447-5463
    35Schanz M,Cheng A H D.Transient wave propagation in a one-dimensional poroelastic column.Acta Mech,2000,145:1-18

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心