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刘泽佳, 李锡夔. 非饱和多孔介质中热-渗流-力学耦合的混合元法[J]. 力学学报, 2006, 38(2): 170-175. DOI:10.6052/0459-1879-2006-2-2005-162
引用本文: 刘泽佳, 李锡夔. 非饱和多孔介质中热-渗流-力学耦合的混合元法[J]. 力学学报, 2006, 38(2): 170-175.DOI:10.6052/0459-1879-2006-2-2005-162
Mixed finite element method for coupled thermo-hydro-mechanical in unsaturated porous media[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(2): 170-175. DOI:10.6052/0459-1879-2006-2-2005-162
Citation: Mixed finite element method for coupled thermo-hydro-mechanical in unsaturated porous media[J].Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(2): 170-175.DOI:10.6052/0459-1879-2006-2-2005-162

非饱和多孔介质中热-渗流-力学耦合的混合元法

Mixed finite element method for coupled thermo-hydro-mechanical in unsaturated porous media

  • 摘要:提出了一个非饱和多孔介质中热-渗流-力学耦合分析的混合有限元方法. 固相位移、应变和净应力;孔隙水和气的压力、压力空间梯度和Darcy速度;多相混合介质的温度、温度空间梯度和热流量在单元内均为独立变量分别插值. 基于胡海昌-Washizu三变量广义变分原理给出的多孔介质中热-渗流-力学耦合问题控制方程的单元弱形式,导出了单元公式. 采用共旋公式进行几何非线性分析. 数值结果证明了所提出的单元模拟以应变局部化为特征的渐进破坏的能力

    Abstract:A mixed finite element for coupledthermo-hydro-mechanical (THM) analysis in unsaturated porous media isproposed. Displacements, strains, the net stresses for the solid phase;pressures, pressure gradients, Darcy velocities for pore water and pore airphases; temperature, temperature gradients, the heat flux of the three phasemixture are interpolated as independent variables. The weak form of thegoverning equations of coupled thermo-hydro-mechanical problems in porousmedia within the element is established on the basis of the Hu-Washizuthree-fieldvariational principle. The proposed mixed finite element formulation isthenderived. For geometrical non-linearity, the co-rotational formulationapproach is used. Numerical results demonstrate the capability and theperformance of the proposed element in modelling progressive failurecharacterized by strain localization.

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