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非饱和土固结的混合物理论(Ⅰ)

陈正汉 谢定义 刘祖典

陈正汉, 谢定义, 刘祖典. 非饱和土固结的混合物理论(Ⅰ)[J]. 应用数学和力学, 1993, 14(2): 127-137.
引用本文: 陈正汉, 谢定义, 刘祖典. 非饱和土固结的混合物理论(Ⅰ)[J]. 应用数学和力学, 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.

非饱和土固结的混合物理论(Ⅰ)

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

  • 摘要: 非饱和土是由土粒、水、气组成的三相介质,本文以混合物理论为基础研究了非饱和土的固结问题.文中导出了各向异性多孔介质及非饱和土的有效应力的理论公式,把有效应力原理和Curie对称原理作为非饱和土的两个重要的本构原理,建立了非饱和土固结的数学模型:由25个方程求解25个未知量.在增量线性化的情况下,本模型简化为5个控制方程求解5个未知量:3个固相位移、孔隙水压力和孔隙气压力.模型中包含7个材料参数,都可由试验测定,便于工程应用.Biot理论是本模型的特例.
  • [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).
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出版历程
  • 收稿日期:  1992-05-22
  • 刊出日期:  1993-02-15

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