School of Civil Engineering, Henan University of Science and Technology, Luoyang, Henan, P.R. China.
School of Mechanical and Electrical Engineering, Henan University of Science and Technology, Luoyang, Henan, P.R. China.
PLoS One. 2024 Apr 17;19(4):e0297651. doi: 10.1371/journal.pone.0297651. eCollection 2024.
In this paper, a two-dimensional (2D) thermo-hydro-mechanical dynamic (THMD) coupling analysis in the presence of a half-space medium is studied using Ezzat's fractional order generalized theory of thermoelasticity. Using normal mode analysis (NMA), the influence of the anisotropy of the thermal conduction coefficient, fractional derivatives, and frequency on the THMD response of anisotropy, fully saturated, and poroelastic subgrade is then analyzed with a time-harmonic load including mechanical load and thermal source subjected to the surface. The general relationships among the dimensionless physical variables such as the vertical displacement, excess pore water pressure, vertical stress, and temperature distribution are graphically illustrated. The NMA method does not require the integration and inverse transformation, increases the decoupling speed, and eliminates the limitation of numerical inverse transformation. The obtained results can guide the geotechnical engineering construction according to different values of load frequency, fractional order coefficient, and anisotropy of thermal conduction coefficient. This improves the subgrade stability and enriches the theoretical studies on thermo-hydro-mechanical coupling.
本文利用 Ezzat 的分数阶广义热弹性理论，研究了半空间介质中二维（2D）热-水-力动态（THMD）耦合分析。利用正则模态分析（NMA），分析了热传导系数各向异性、分数导数和频率对各向异性、完全饱和和多孔地基 THMD 响应的影响，包括表面受机械载荷和热源作用的时谐载荷。给出了无量纲物理变量（如竖向位移、超孔隙水压力、竖向应力和温度分布）之间的一般关系图。NMA 方法不需要积分和逆变换，提高了解耦速度，消除了数值逆变换的限制。根据不同的载荷频率、分数阶系数和热传导系数各向异性，得到的结果可以指导岩土工程施工。这提高了地基的稳定性，丰富了热-水-力耦合的理论研究。
