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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (2): 138-152.

• 论文 • 上一篇    下一篇

CONSTITUTIVE RELATION OF UNSATURATED SOIL BY USE OF THE MIXTURE THEORY (Ⅱ)-LINEAR CONSTITUTIVE EQUATIONS AND FIELD EQUATIONS

黄义1, 张引科1,2   

  1. 1. Science College, Xi’an University of Architecture & Technology, Xi’an 710055, P.R.China;
    2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, P.R.China
  • 收稿日期:2001-08-20 修回日期:2002-06-04 出版日期:2003-02-18 发布日期:2003-02-18
  • 通讯作者: HUANG Yi
  • 基金资助:

    the National Natural Science Foundation of China (59678003);Special Research Plan of the Education Department of Shaanxi Province (01JK178)

CONSTITUTIVE RELATION OF UNSATURATED SOIL BY USE OF THE MIXTURE THEORY (Ⅱ)-LINEAR CONSTITUTIVE EQUATIONS AND FIELD EQUATIONS

HUANG Yi1, ZHANG Yin-ke1,2   

  1. 1. Science College, Xi’an University of Architecture & Technology, Xi’an 710055, P.R.China;
    2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, P.R.China
  • Received:2001-08-20 Revised:2002-06-04 Online:2003-02-18 Published:2003-02-18
  • Supported by:

    the National Natural Science Foundation of China (59678003);Special Research Plan of the Education Department of Shaanxi Province (01JK178)

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摘要： The linear constitutive equations and field equations of unsaturated soils were obtained through linearizing the nonlinear equations given in the first part of this work. The linear equations were expressed in the forms similar to Biot’s equations for saturated porous media. The Darcy’s laws of unsaturated soil were proved. It is shown that Biot’s equations of saturated porous media are the simplification of the theory. All these illustrate that constructing constitutive relation of unsaturated soil on the base of mixture theory is rational.

Abstract: The linear constitutive equations and field equations of unsaturated soils were obtained through linearizing the nonlinear equations given in the first part of this work. The linear equations were expressed in the forms similar to Biot’s equations for saturated porous media. The Darcy’s laws of unsaturated soil were proved. It is shown that Biot’s equations of saturated porous media are the simplification of the theory. All these illustrate that constructing constitutive relation of unsaturated soil on the base of mixture theory is rational.

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