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浙江大学学报(工学版)  2019, Vol. 53 Issue (5): 925-931    DOI: 10.3785/j.issn.1008-973X.2019.05.013
土木与水利工程     
基于变形功的有效应力力学机理探究
胡亚元(),王超
浙江大学 滨海和城市岩土工程研究中心,浙江 杭州 310058
Exploration of effective stress mechanics mechanism based on deformation work
Ya-yuan HU(),Chao WANG
Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
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摘要:

针对Terzaghi有效应力公式在饱和多孔介质力学中的适用性问题,提出新的饱和多孔介质的体积变形功方程,基于变形功探究有效应力力学机理. 当忽略固流相基质变形时,运用机械功原理证明Terzaghi有效应力公式的正确性. 当考虑固流相基质变形时,根据混合物理论将固相体应变分为固相体积分数应变和固相基质体应变. 通过推导和分析体积变形功守恒方程,揭示Terzaghi有效应力与固相体积分数应变之间的功共轭力学关系. 在小应变条件下,当固相基质变形、固相体积分数变化和流相基质变形之间的受力机理相互独立时,Terzaghi有效应力唯一地决定饱和多孔介质的固相体积分数应变. 同时采用固相基质压力和Terzaghi有效应力才能够完全确定固相体积变形. 研究结果表明,Terzaghi有效应力作为影响固相体积变形的内在因素之一,其表达式无须修正.

关键词: 有效应力饱和多孔介质混合物理论体积变形功    
Abstract:

A new volume deformation work conservation equation of saturated porous media was proposed, and the effective stress mechanics mechanism was explored based on deformation work, in view of the validity of Terzaghi effective stress formula in saturated porous media. The mechanical work principle was used to prove the validity of Terzaghi effective stress formula without taking the deformations of solid and fluid matrix into account. The volume strain of solid phase was divided into solid volume fraction strain and solid matrix volume strain based on mixture theory, considering the deformations of solid and fluid matrix. The mechanical relationship of work conjugate between Terzaghi effective stress and solid volume fraction strain was obtained through the derivation and analysis of volume deformation work conservation equation. Terzaghi effective stress can only determine the solid volume fraction strain when the stress mechanisms among solid matrix deformation, solid volume fraction change and fluid matrix deformation were mutually independent under infinitesimal strain condition. The volume deformation of solid phase can be closely determined only if both solid matrix stress and Terzaghi effective stress were used. Results show that Terzaghi effective stress, as one of the internal factors affecting the volume strain of solid phase, does not need to be corrected.

Key words: effective stress    saturated porous media    mixture theory    volume deformation work
收稿日期: 2018-03-05 出版日期: 2019-05-17
CLC:  TU 43  
作者简介: 胡亚元(1968—),男,副教授,从事地基加固和岩土的本构关系研究. orcid.org/0000-0002-5422-7679. E-mail: huyayuan@zju.edu.cn
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引用本文:

胡亚元,王超. 基于变形功的有效应力力学机理探究[J]. 浙江大学学报(工学版), 2019, 53(5): 925-931.

Ya-yuan HU,Chao WANG. Exploration of effective stress mechanics mechanism based on deformation work. Journal of ZheJiang University (Engineering Science), 2019, 53(5): 925-931.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2019.05.013        http://www.zjujournals.com/eng/CN/Y2019/V53/I5/925

图 1  单元体变形示意图
图 2  单元体横向剖面示意图
图 3  饱和多孔介质表征单元体图
图 4  固相体应变分解图
图 5  有效应力力学机理对比示意图
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