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《JOURNAL OF GLACIOLGY AND GEOCRYOLOGY》 2000-02
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A Couple Model of Heat, Water and Stress Fields of Saturated Soil During Freezing

HE Ping, CHENG Guo-dong, YU Qi-hao, ZHU Yuan-lin, XU Xiao-zu (State Key Laboratory of Frozen Soil Engineering, CAREERI, CAS, Lanzhou Gansu 730000, China)  
The frost heaving properties of soils during freezing depend on the soil type, initial dry density and initial water content, the depth of ground water, the thermal state and stress state, and salt content etc. For a given soil, the thermal state, the stress state and the condition of water supplying are the key factors in frost heaving process. But in the prediction models on freezing and thawing processes, the temperature and water conditions in the past is mainly considered, ignoring the stress effect. It is found from tests that stress increases the frozen temperature of frozen soil, resulting in increase of unfrozen water content and decrease of frost heave amount. Therefore stress state should be taken into account in analysis of freezing and thawing processes. Based on the principles of continuum mechanics and thermodynamics, couple equations of the water, heat and stress fields are deduced in this paper. The variations of water, heat and stress are thought about to obey the base equations of geometry and motion relationship, mass conservation, momentum conservation, the balance of moment of momentum and energy conservation. And the conception of the volume strain including elastic part, plastic part from pore water content change, the part from phase change and viscoplastic part of frozen soil, were considered in water field equation. The relationship of strain and stress follows elasto-viscoplastic constitutive theory. Besides, the unfrozen water content, which cause weakening of frozen soil, is considered from the dissipative potential. It is suggested that the water migration force is composed of the suction potential of soil, gravity potential, solute potential, pore water pressure and the suction potential of ice. In soil during freezing there is a frozen fringe, in which water is partly frozen owing to different water migration forces and different frozen temperatures in different sites. The relationship of water migration forces and the frozen temperature meets the demand of phase change in the fringe. The formation and development of segregation ice (or called ice lens) contributes much to frozen heave of soil. Ice lens can be formed when the phase balance formula is satisfied and the pore water pressure is up to the sum of the effective stress of soil frame and the cohesion force of soil particles.
【Fund】: 中国科学院重点项目!(KZ95 2 -J1-2 16);; 国家自然科学基金!( 4 97710 2 3 )资助项目
【CateGory Index】: P642.14
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