Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture(Ⅰ)

Chen Zheng-han; Xie Ding-yi; Liu Zu-dian

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(2): 127-137

Chen Zheng-han, Xie Ding-yi, Liu Zu-dian. Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture(Ⅰ)[J]. Applied Mathematics and Mechanics, 1993, 14(2): 127-137.

Citation:

Chen Zheng-han, Xie Ding-yi, Liu Zu-dian. Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture(Ⅰ)[J]. Applied Mathematics and Mechanics, 1993, 14(2): 127-137.

Citation:

Chen Zheng-han, Xie Ding-yi, Liu Zu-dian. Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture(Ⅰ)[J]. Applied Mathematics and Mechanics, 1993, 14(2): 127-137.

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Consolidation Theory of Unsaturated Soil Based on the Theory of Mixture(Ⅰ)

1.
Logistical Engineering College, Chongqing;
2.
Shanxi Mechanical College, Xi'an

Received Date: 1992-05-22
Publish Date: 1993-02-15

Abstract

Abstract

Unsaturated soil is a three-phase media and is composed of soil grain,water and gas.In this paper,the consolidation problem of unsaturated soil is investigated based on the theory of mixture.A theoretical formula of effective stress on anisotropic porous media and unsaturated soil is derived.The principle of effective stress and the principle of Curie symmetry are taken as two fundamental constitutive principles of unsaturated soil.A mathematical model of consolidation of unsaturated soil is proposed,which consists of 25 partial differenfial equations with 25 unknowns.With the help of increament linearizing method,the model is reduced to 5 governing equations with 5 unknowns,i.e.,the three displacement components of solid phase,the pore water pressure and the pore gas pressure.7 material parameters are involved in the model and all of them can he measured using soil tests.It is convenient to use the model to engineering practice.The well known Biot's theory is a special case of the model.
- unsaturated soil,
- consolidation,
- theory of mixture,
- effective stress,
- the principle of Curie symmetry

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References(26)

References

[1]	蒋彭年,非饱和土工程性质简论,岩土工程学报,11,6(1989).(in Chinese)
[2]	包承纲,非饱和土的应力应变关系和强度特性.岩上工程学报,7,1(1986).
[3]	Barden,L.,Consolidation of campacted and unsaturated clays,Geotechnique,15,3(1965),267-285.
[4]	Predlund,D.G.and J.U.Hafan,One-dimensional consolidation theory:Unsaturatedsoils,Canadian Geotechnical Journal,16,3(1979),521-531.
[5]	Fredlund,D.G.,Consoliation of unsaturated porous media,Proc.of the NATO Advanced Study Institute on Mechanics of Fluids in Porous Media,Newark,Delaware,U.S.A.(1982),525-578.
[6]	Fredlund D.G.,Soil mechanics principle that embrances unsaturated soils,Proc.of 11th ICSMEF,San Francisco,USA(1985),313-321.
[7]	Thigpen,L.and Berryman,J.G.,Mechanics of porous elastic materials containing multiphase fluids,Int.J.Engng.Sci,25,1(1985),1203-1214.
[8]	Vardoulakis,I.and D.E.Beskos,Dynamic behavior of nearly saturated porous media,Mechanics of Materials,5(1986),87-108.
[9]	Boer,R.and W.Ehler.,On the problem of fluid-and gas-filled elasto-plastic solids.Int.J.Solids.Structures,22,11(1986),1231-1242.
[10]	Bowen,R.M.,《混合物理论》,现代连续统物理丛书,13,许慧已等译,董务民、戴天民校,江苏科学技术出版社(1983).
[11]	Bowen,R.M.,Incompressible porous media models by use of the theory of mixture,Int.J.Engng.Sci,18(1980),1129-1148.
[12]	Bowen R.M.,Compressible porous media models by use of the theory of mixture,Int.J.Engng.Sci,20,6(1982),697-735.
[13]	Bedfore,A.and D.S.Drumheller,Theories of immiscible and structured mixtures.Int.J.Engng.Sci.,21,8(1983),863-960.
[14]	Passsman,S.L.,J.W.Nunziato and E.K.,Walsh,A theory of multiphase mixtures,Rational Thermodynamics,Ed.by C.Truesdell,Springer-Verlag,New York(1984),286325.
[15]	陈正汉、谢定义,混合物理论当前研究中的两个问题,《MMM-Ⅳ文集》,兰州(1991).
[16]	Degroot,S.R.and P.Mazur,Non-Equilibrium Thermodynamics,Wiley(Interscience),New York(1962).
[17]	Skempton,A.W.,Effective Stress in Solids,Concrete and Rock,Pore Pressure andSuction in Soils,Butterworths,London(1960),4-16.
[18]	Biot,M.A.and D.G.Willis,The elastic coefficients of the theory of consolidation,J.Appl.Mech.,24(1957),594-601.
[19]	Nur,A.and J.D.Byerlee,An exact effective stress law for elastic deformation of rock with fluids,J.Geophys.Res.,76(1971),6414-6419.
[20]	Carroll,M.M.,Mechanical response of fluid-saturated porous materials,Proc.15th IUTAM,North-Holland,New York(1980),251-262.
[21]	Mctigue,D.F.,R.K.Wilson and J.W.Nunziato,An effective stress principle for partially saturated media,Mechanics of Granular materials,Ed.by J.T.Jenkins and M.Satake,Elsevier(1983),195-210.
[22]	李希、郭尚平,渗流过程的混合物理论,中国科学(A辑),1,3(1988),265-274.
[23]	陈正汉,非饱和土固结的混合物理论-数学模型·试验研究·边值问题,陕西机械学院博士学位论文(1991).(1991).
[24]	陈正汉、谢定义、刘祖典,非饱和土的固结理论,《岩土力学中新的分析方法讨论会文集》,上海(1989).
[25]	郭仲衡,《非线性弹性理论》,科学出版社(1980).
[26]	黄竟智等编,《张量分析》.清华大学出版社(1985).