非饱和土本构关系的混合物理论(Ⅰ)——非线性本构方程和场方程

黄义; 张引科

非饱和土本构关系的混合物理论(Ⅰ)——非线性本构方程和场方程

黄义¹,
张引科^1,2

1.
西安建筑科技大学理学院, 西安 710055;
2.
同济大学地下建筑与工程系, 上海 200092

基金项目: 国家自然科学基金资助项目(59678003);陕西省教育厅专项科研计划项目(01JK178)

详细信息

作者简介:
黄义(1936- ),男,陕西汉中人,教授,博士生导师,从事板壳结构、土-结构动力相互作用和复杂介质动力学的研究(E-mail:huangyih@pub.xa-online.sn.cn);张引科(1964- ),男,陕西宝鸡人,教授,博士,从事土本构关系和土动力学的研究,现在同济大学土木工程博士后流动站工作(E-mail:yinkezhang@163.com).

中图分类号: O359.2
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出版历程
- 收稿日期: 2001-08-20
- 修回日期: 2002-06-04
- 刊出日期: 2003-02-15

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

摘要

摘要: 以混合物理论为基础建立了非饱和土非线性本构方程和场方程.把非饱和土作为3种组分构成的饱和混合物来研究.首先根据土力学成果提出了非饱和土混合物的基本假设,推导出适用于非饱和土混合物的熵不等式;然后采用混合物理论处理本构问题的常规方法得出了非饱和土非线性本构方程;最后把非线性本构方程代入混合物组分动量守恒定律,获得了非饱和土各组分运动的非线性场方程;并且给出了非饱和土混合物的能量守恒方程,从而形成了解决非饱和土混合物热力学过程的完备方程组.
- 混合物理论 /
- 非饱和土 /
- 熵不等式 /
- 本构方程 /
- 场方程
Abstract: The nonlinear constitutive equations and field equations of unsaturated soils were constructed on the basis of mixture theory. The soils were treated as the mixture composed of three constituents. First, from the researches of soil mechanics, some basic assumptions about the unsaturated soil mixture were made, and the entropy inequality of unsaturated soil mixture was derived. Then, with the common method usually used to deal with the constitutive problems in mixture theory, the nonlinear constitutive equations were obtained. Finally, putting the constitutive equations of constituents into the balance equations of momentum, the nonlinear field equations of constituents were set up. The balance equation of energy of unsaturated soil was also given, and thus the complete equations for solving the thermodynamic process of unsaturated soil was formed.
- mixture theory /
- unsaturated soil /
- entropy inequality /
- constitutive equations /
- field equations

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参考文献(23)

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