液固两相饱和介质动力分析的一种显式有限元法*

Abstract
Figure/Table
References (30)
Related Citation (15)

Download: PDF (1026 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract An explicit finite element method for dynamic analyses of fluid-saturated porous solid is derived on the basis of the classical Biot’s theory. The proposed method has the advantages of saving computer memory and saving computing effort over the conventional implicit methods. The proposed method can also efficiently treat the complex dynamic problem of fluid-saturated porous solid with nonlinear behavior or large degrees of freedom. To check the proposed explicit finite element method，two dynamic problems of fluid-saturated porous solid are solved. The numerical results agree well with the exact solutions.

Key words： fluid-saturated porous solid dynamic analyses explicit finite element method

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors

Cite this article:

URL:

https://rockmech.whrsm.ac.cn/EN/Y2002/V21/I08/1199

1 Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid[J]. J. Acoust. Soc. of America，1956，28(1)：168～191

2 Biot M A. Mechanics of deformation and acoustic propagation in porous media[J]. J. Appl. Phys.，1962，33(4)：1 482～1 498

3 Biot M A，Willis D G. The elastic coefficients of the theory of consolidation[J]. J. Appl. Mech.，1957，24(4)：594～601

4 Hsieh L，Yew C H. Wave motion in a fluid saturated porous medium[J]. J. Appl. Mech.，ASME，1973，40(4)：873～878

5 Prevost J H. Mechanics of continuous porous media[J]. Int. J. Engng Sci.，1980，18(6)：787～800

6 Bowen R M. Compressional porous media models by use of the theory of mixtures[J]. Int. J. Engng. Sci.，1982，20(6)：697～735

7 赵成刚，杜修力，崔杰. 固体、流体多相孔隙介质的波动理论及其数值模拟的进展[J]. 力学进展，1998，28(1)：83～93

8 Yamamoto T. Acoustic propagation in the ocean with a poro-elastic bottom[J]. J. Acoust. Soc. of America，1983，73(5)：1 587～1 596

9 Norris A N. Radiation from a point source and scattering theory in a fluid-saturated porous solid[J]. J. Acoust. Soc. of America，1985，77(6)：2 012～2 023

10 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. Seis. Soc. of America，1960，50(4)：599～607

11 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 (general case)[J]. Bull. Seis. Soc. of America，1962，52(3)：595～625

12 Stoll R D. Reflection of acoustic waves at a water-sediment interface[J]. J. Acoust. Soc. of America，1981，70(1)：149～156

13 Paul S. On the Displacement produced in porous elastic half-space by an impulsive line load(non-dissipative case) [J]. Pure and Applied Geophysics，1976，114(4)：605～614

14 Paul S. On the Disturbance produced in a semi-infinite poroelastic medium by a surface load[J]. Pure and Applied Geophysics，1976，114(4)：615～627

15 Halpern M R，Christiano P. Response of poroelastic halfspace to steady-state harmonic surface tractions[J]. Int. J. Numer. Anal. Me-

thods Geomech.，1986，10(6)：609～632

16 Kassir M K，Xu J. Interaction function of a rigid strip bonded to saturated elastic half-space[J]. International Journal of Solids and Structures，1988，24(9)：915～936

17 Degrande G，De Roeck G. A spectral element method for two-dimensional wave propagation in horizontally layered saturated porous media[J]. Computer and Structure，1992，44(4)：717～728

18 Garg S K. Wave propagation effects in a fluid-saturated porous solid[J]. J. Geoph. Research，1971，76(32)：7 947～7 962

19 Dominguez J. An integral formulation for dynamic poroelasticity[J]. Trans. of the ASME，1991，58(6)：588～591

20 Cheng H D，Badmus T，Beskos D E. Integral equation for dynamic poroelasticity in frequency domain with BEM solution[J]. J. Engg. Mech.，1991，117(5)：1 136～1 157

21 Sandhu R S. Finite element analysis of couple deformation and fluid flow in porous media[A]. In：Martins J B ed. Numerical Methods in Geomechanics[C]. New York：D. Reidl Publishing Company，1982，203～227

22 Zienkiewicz O C，Shiomi T. Dynamic behaviour of saturated porous media：the generalized Biot formulation and its numerical solution[J]. Int. J. Nume. Anal. Methods Geomech.，1984，8(1)：71～96

23 Simon B R，Wu J S-S，Zienkiewicz O C，et al. Evaluation of u-w and u-π finite element methods for the dynamic response of saturated porous media using one-dimensional models[J]. Int. J. Numer. Anal. Methods Geomech.，1986，10(5)：461～482

24 Simon B R，Wu J S-S，Zienkiewicz O C. Evaluation of higher order，mixed and hermitean finite element procedures for dynamic analysis of saturated porous media using one-dimensional models[J]. Int. J. Numer. Anal. Methods Geomech.，1986，10(5)：483～499

25 赵成刚，王进廷，史培新等. 流体饱和两相多孔介质动力反应分析的显式有限元法[J]. 岩土工程学报，2001，23(2)：178～182

26 杜修力，王进廷. 阻尼弹性结构动力计算的显式差分法[J]. 工程力学，2000，17(5)：37～43

27 王勖成，邵敏. 有限元法基本原理和数值方法(第二版)[M]. 北京：清华大学出版社，1997

28 廖振鹏，黄孔亮，杨柏坡. 暂态波透射边界[J]. 中国科学(A辑)，1984，(6)：556～564

29 Simon B R，Zienkiewicz O C，Paul D K. An analytical solution for the transient response of saturated porous elastic solids[J]. Int. J. Numer. Anal. Methods Geomech.，1984，8(1)：381～398

30 Longman I M. Note on a method for computing infinite integrals of oscillatory functions[J]. Proceedings of the Cambridge Philosophical Society，1956，52(4)：764～768