正交各向异性岩体热‒力耦合行为的半解析解

A Semi-Analytical Solution for Coupled Thermo-Mechanical Behaviors of Cross-Anisotropic Geotechnical Media

摘要:

针对能源桩、地热发电等工程中普遍存在的岩体热?力耦合行为，引入涵盖模量各向异性、线性热膨胀系数各向异性及导热各向异性的控制方程；再根据变换微分求积法（TDQM）离散规则，在深度方向和时间维度上离散偏微分方程；考虑多种力荷载、热源及温度荷载形式，并引入内部连续条件和边界条件，得到层状正交各向异性岩体的热?力耦合解；通过算例验证理论正确性，并进行参数敏感性分析，为层状正交各向异性岩体热?力耦合行为分析提供依据。

Abstract:

To address the thermal-mechanical behaviors of geotechnical media in engineering including energy piles and geothermal power generation， the governing equations covering the anisotropy of moduli， linear thermal expansion coefficients and thermal conductivity are introduced. Then， the partial differential equations are discretized along depth and time domain based on the discretization rules of the transformed differential quadrature method （TDQM）. Various load forms of mechanical loads， heat sources and temperature loads are considered， and the coupled thermal-mechanical solution is obtained after introducing the internal continuity conditions and boundary conditions. The proposed theory is verified through case studies. Finally， a sensitivity analysis is performed to provide a basis for the analysis of thermal-mechanical coupling behavior of layered cross-anisotropic media.