Multiscale friction-damage mechanics of layered rocks: Theoretical formulation and numerical simulation

Layered rocks (LR) exhibit inherent anisotropic stiffness and strength induced by oriented rough weakness planes, along with stress induced anisotropy and friction related plastic deformation occurs during loading. Furthermore, microcracks located in intact rock matrix (IRM) of LR are also criticall...

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Vydáno v:Journal of Rock Mechanics and Geotechnical Engineering Ročník 17; číslo 9; s. 5728 - 5752
Hlavní autoři: Ren, Lu, Zhao, Lunyang, Niu, Fujun, Lai, Yuanming, Song, Danqing, Zhu, Qizhi, Shao, Jianfu
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.09.2025
Elsevier
Témata:
Anisotropy
Friction-damage
Integration algorithm
Layered rocks
Multiscale modelling
Integration algorithm
Layered rocks
Friction-damage
Multiscale modelling
Anisotropy
ISSN:1674-7755
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Shrnutí:Layered rocks (LR) exhibit inherent anisotropic stiffness and strength induced by oriented rough weakness planes, along with stress induced anisotropy and friction related plastic deformation occurs during loading. Furthermore, microcracks located in intact rock matrix (IRM) of LR are also critically important for friction and damage dissipation processes. In this paper, we first present a novel multiscale friction-damage (MFD) model using a two-step Mori-Tanaka homogenization scheme, with the aim of describing the multiscale friction-damage mechanics in LR. Physically, the initiation and propagation of flaws at different scales (i.e. microcracks and weakness planes) induced damage, and the plastic deformation is closely associated with frictional sliding along these flaws. In the thermodynamics framework, the macroscopic stress-strain relations, the local driving forces respectively conjuncted with flaws propagation and plastic deformation are derived. An analytical macroscopic strength criterion is subsequently deduced, which takes into account the variation of inclination angle and confining pressure. Notably, the failure mechanisms of IRM shearing and weakness planes sliding are inherent included in the criterion. As an original contribution, a new multisurface semi-implicit return mapping algorithm (MSRM) is developed to integrate the proposed MFD model. The robustness of MSRM algorithm is assessed by numerical tests with different loading steps sizes and convergence conditions. Finally, the effectiveness of the MFD model is confirmed using data from experiments under conventional triaxial compression, all main features of mechanical behaviors of LR are well captured by the proposed model, including initial anisotropy, stress-induced anisotropy and strain hardening/softening.
ISSN:1674-7755
DOI:10.1016/j.jrmge.2024.11.051