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基于混合物理论的非饱和土的热-水-力耦合分析模型Ⅰ
  • ISSN号:1000-0887
  • 期刊名称:《应用数学和力学》
  • 时间:0
  • 分类:TL942[核科学技术—辐射防护及环境保护]
  • 作者机构:[1]后勤工程学院军事建筑工程系,重庆401311, [2]核工业北京地质研究院,北京100029
  • 相关基金:国家自然科学基金资助项目(10672182;11072265); 重庆市自然科学基金资助项目(CSTC 2009BB7343)
中文摘要:

以混合物理论为基础研究了非饱和土的热-水-力多场耦合问题.将非饱和土视为由土骨架、液态水、水蒸气、干燥气体及溶解气体共5种组分构成的混合物,在组分的质量、动量守恒方程及整体能量守恒方程的基础上,引入了37个补充方程以形成封闭方程组.其中,利用水与水蒸气的化学势改变量相同,推导了在气压力变化条件下水与水蒸气相变平衡所满足的限制方程.最终控制方程以增量形式给出,6个方程求解6个未知量(3个土骨架位移、水压力、气压力及温度),充分反映了热膨胀、热渗流、水的相变、气体溶解及土骨架变形等多种现象的耦合过程.

英文摘要:

An analysis of coupled thermo-hydro-mechanical behavior of unsaturated soils was presented based on theory of mixtures.Unsaturated soil was considered as a mixture composed of soil skeleton,liquid water,vapor,dry air and dissolved air.In addition to mass and momentum conservation equations of each component and energy conservation equation of the mixture,the system was closed using other 37 constitutive (or restriction) equations.In virtue of the requirement that the change in water chemical potential was identical with the change in vapor chemical potential,a thermodynamic restriction relationship for phase transition between pore water and pore vapor was formulated,in which the impact of the change in gas pressure on the phase transition was taken into account.Six final governing equations were given in incremental form in term of six primary variables,i.e.three displacement components of soil skeleton,water pressure,gas pressure and temperature.The processes involved in the coupled model included thermal expansions of soil skeleton and soil particle,Soret effect,phase transition between water and vapor,air dissolution in pore water,deformation of soil skeleton,etc.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编:钟万勰
  • 地址:重庆南岸区重庆交通大学90信箱
  • 邮编:400074
  • 邮箱:applmathmech@cqjtu.edu.cn
  • 电话:023-62652450
  • 国际标准刊号:ISSN:1000-0887
  • 国内统一刊号:ISSN:50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引(EI)收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论(网络版),日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊(2004版),中国北大核心期刊(2008版),中国北大核心期刊(2011版),中国北大核心期刊(2014版),中国北大核心期刊(2000版)
  • 被引量:8965