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

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

西安建筑科技大学理学院, 西安710055

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
计量
- 文章访问数: 2585
- HTML全文浏览量: 130
- PDF下载量: 699
- 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

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

Science College, Xi'an University of Architecture & Technology, Xi'an 710055, P R China

摘要

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。
- Biot波动方程 /
- 横观各向同性饱和弹性多孔介质 /
- 非轴对称动力响应
Abstract: The Biot's wave equations of transversely isotropic saturated poroelastic media excited by non-axisymmetrical harmonic source were solved by means of Fourier expansion and Hankel transform.Then the components of total stress in porous media are expressed with the solutions of Biot's wave equations.The method of research on non-axisymmetrical dynamic response of saturated porous media is discussed,and a numerical result is presented.
- Biot’s wave equations /
- transversely isotropic saturated poroelastic media /
- non-axisym-metrical dynamic response

HTML全文

参考文献(14)

[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.