The nonlocal thermo‐hydro‐mechanical model for cracking behaviors of quasi‐brittle materials in the framework of advanced general particle dynamics

Abstract

A novel nonlocal thermo-hydro-mechanical coupling model is proposed to investigate cracking behaviors of quasi-brittle materials in the framework of advanced general particle dynamics (GPD). The nonlocal thermal conduction equation and the nonlocal flow diffusion equation are derived based on nonlocal vector calculus and the microscopic constitutive equation. Moreover, the coupling influences are considered based on the nonlocal equation and the coupling principle. The governing equation of the coupling system is established in the framework of GPD. The correctness of the proposed model is verified through comparing with the corresponding experimental data, and the numerical results are in good agreement with experimental results. Finally, the proposed model is applied to analyze the deformation and cracking behaviors of rock mass around tunnels, and the stress redistribution is revealed under thermo-hydro-mechanical coupling condition. K E Y W O R D S advanced general particle dynamics, cracking and mechanical behaviors of rock-like materials, nonlocal thermo-hydro-mechanical coupling model, nonlocal vector calculus Highlights • A novel nonlocal thermo-hydro-mechanical coupling model is proposed to investigate the cracking behaviors of rocks. • The nonlocal thermal conduction equation and the nonlocal flow diffusion equation are derived. • The governing equation of the coupling system is established in the framework of advanced general particle dynamics.

3D numerical analysis of stability and onset of hydraulic fracture in the vertical‐oblique‐horizontal wells under wide range of in situ stresses

“…In addition, the assumptions that we considered in the current work for the sake of simplicity (such as linear, elastic, isotropic, and continuum media) or may result in non‐accurate predictions for the real hydraulic fracture conditions. For such cases, some better numerical methods such as finite element with continuum‐discontinuum elements, 83 cohesive zone modeling, 84 extended finite element (XFEM), 85 displacement discontinuity/boundary collocation method, 86 conjugated bond‐pair‐based peridynamics 87–89 and the nonlocal general particle dynamics 90–93 may probably result in better estimations and predictions for the onset of hydraulic fracture, or the trajectory and coalescence of natural fractures around the hydraulic fracture. For example, Zhou et al, 88 presented hydromechanical bond based peridynamic model for investigating the cracking phenomenon in porous rocks containing single or multiple fissures.…”

“…They determined the fracture paths in solids containing multiple parallel or non‐parallel 2D‐flaws. In another work, Zhou and coworkers 90,91 used the framework of advanced general particle dynamics to analyze couple mechanical and hydraulic fracture in the solids. They utilized their model for simulating the effects of hydromechanical coupling on the damage of surrounding rock mass around a tunnel.…”