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《Earthquake Engineering and Engineering Vibration》 2002-04
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Study on mechanic models of two-phase media

CHEN Shao lin, LIAO Zhen peng (Institute of Engineering Mechanics, China Seismological Bureau, Harbin 150080, China)  
Based on clear physical concepts, complete nonlinear dynamic equations of two-phase media are derived by using classic mechanical principle directly. Then, two conditions under which the nonlinear equations can be linearized are expounded. The conditions are that varieties of the porosity and density with spatial position are much smaller than those with time in the dynamic process, and alterations of the displacement and pore fluid pressure induced by porosity or density changes can be omitted. Thus, the variables of displacement and pore fluid stress are decoupled with porosity and density variables, and can be resolved independently. Furthermore, the inconsistency that the porosity and density keeping constant is in contradiction with the compressible pore fluid and deformable skeleton assumption in two phase models (including Biot′s) is also clarified through linearization. After comparing some two phase models, the following conclusions are obtained. Firstly, the only differences between them lie in the constitutive relation; secondly, the soil mechanics′ model is a special case of the Biot′s and Zienkiewicz′s model.
【Fund】: 地震学联合基金重点项目 (95 -0 7-4 42 )
【CateGory Index】: O359
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