Constitutive Relation of Unsaturated Soil by Use of the Mixture Theory(Ⅰ)-Nonlinear Constitutive Equations and Field Equations

HUANG Yi; ZHANG Yin-ke

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HUANG Yi, ZHANG Yin-ke. Constitutive Relation of Unsaturated Soil by Use of the Mixture Theory(Ⅰ)-Nonlinear Constitutive Equations and Field Equations[J]. Applied Mathematics and Mechanics, 2003, 24(2): 124-137.

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Constitutive Relation of Unsaturated Soil by Use of the Mixture Theory(Ⅰ)-Nonlinear Constitutive Equations and Field Equations

HUANG Yi¹,
ZHANG Yin-ke^1,2

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 Date: 2001-08-20
Rev Recd Date: 2002-06-04
Publish Date: 2003-02-15

Abstract

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.
- mixture theory,
- unsaturated soil,
- linear constitutive equation,
- linear field equation,
- Darcy’s law,
- Biot’s equations

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References(10)

References

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