留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

横观各向同性饱和弹性多孔介质非轴对称动力响应

张引科 黄义

张引科, 黄义. 横观各向同性饱和弹性多孔介质非轴对称动力响应[J]. 应用数学和力学, 2001, 22(1): 56-70.
引用本文: 张引科, 黄义. 横观各向同性饱和弹性多孔介质非轴对称动力响应[J]. 应用数学和力学, 2001, 22(1): 56-70.
ZHANG Yin-ke, HUANG Yi. The Non-Axisymmetrical Dynamic Response of Transversely Isotropic Saturated Poroelastic Media[J]. Applied Mathematics and Mechanics, 2001, 22(1): 56-70.
Citation: ZHANG Yin-ke, HUANG Yi. The Non-Axisymmetrical Dynamic Response of Transversely Isotropic Saturated Poroelastic Media[J]. Applied Mathematics and Mechanics, 2001, 22(1): 56-70.

横观各向同性饱和弹性多孔介质非轴对称动力响应

基金项目: 国家自然科学基金资助项目(59678003)
详细信息
    作者简介:

    张引科(1964- ),男,陕西宝鸡人,副教授,博士,从事非饱和土本构关系和土动力学研究;黄义(1936- ),男,陕西汉中人,教授,博导

  • 中图分类号: O357.3

The Non-Axisymmetrical Dynamic Response of Transversely Isotropic Saturated Poroelastic Media

  • 摘要: 应用Fourier展开和Hankel变换求解了简谐激励下横观各向同性饱和弹性多孔介质的非轴对称Biot波动方程,得到了一般解。用一般解给出了多孔介质总应力分量的表达式。最后对求解横观各向同性饱和弹性多孔介质非轴对称动力响应边值问题的方法作了系统说明,并且给出了数值分析特例。
  • [1] Biot M A. The theory of propagation of elastic waves in a fluid-saturated porous solid[J]. J Acoust Soc Am,1956,28(2):168-191.
    [2] Biot M A. General theory of acoustic propagation in porous dissipative media[J]. J Acoust Soc Am,1962,34(9):1254-1264.
    [3] Biot M A. Mechanics of deformation and acoustic propagation in porous media[J]. J Appl Phys,1962,33(4):1482-1498.
    [4] Zienkiewicz O C, Shiomi T. Dynamic behavior of saturated porous media, the general Biot formulation and its numerical solution[J]. Int J Numer and Analytical Methods in Geomech,1984,8(1):71-96.
    [5] Bougacha S, Tassoulas J L, Roesset J M. Analysis of foundations on fluid-filled poroelastic stratum[J]. J Engrg Mech ASCE,1993,119[ STBZ (8):1632-1648.
    [6] Bougacha S, Roesset J M, Tassoulas J L. Dynamic stiffness of foundations on fluid-filled poroelastic stratum[J]. J Engrg Mech ASCE,1993,119(8):1649-1662.
    [7] Cheng A H-D, Badmus J, Beskos D E. Integral equations for dynamic poroelasticity in frequency domain with BEM solution[J]. J Engrg Mech, ASCE,1991,117(5):1136-1157.
    [8] Dominguez J. Boundary elementary approach for dynamic poro elastic problems[J]. Int J Numer Methods in Engrg,1992,35(2):307-324.
    [9] Chen J, Dargush G F. Boundary element method for dynamic p oroelastic and thermoelastic analysis[J]. Int Solids and Struct,1995,32(15):2257-2278.
    [10] Dargush G F, Chopra M B. Dynamic analysis of axisymmetrical foundation on poroelastic media[J]. J Engrg Mech,1996,122(7):623-632.
    [11] Philippacopoulous A J. Waves in partially saturated medium due to surface loads[J]. J Engrg Mech,1988,114(10):1740-1759.
    [12] 张玉红. 饱和土地基与基础结构动力相互作用[D]. 博士学位论文. 西安:西安建筑科技大学,1999.
    [13] Sneddon I N,富里叶变换[M]. 何衍璿,张燮 译.北京:科学出版社,1958.
    [14] Kazi-Aoual M N, Bonnet G, Jouanna P. Green's functions in an infinite transversely isotropic saturated poroelastic medium[J]. J Acoust Soc Am,1988,84(5):1883-1889.
  • 加载中
计量
  • 文章访问数:  2391
  • HTML全文浏览量:  67
  • PDF下载量:  698
  • 被引次数: 0
出版历程
  • 收稿日期:  2000-01-28
  • 修回日期:  2000-09-30
  • 刊出日期:  2001-01-15

目录

    /

    返回文章
    返回