A Time-Dependent Directional Damage Theory for Brittle Rocks Considering the Kinetics of Microcrack Growth

Sisodiya, Mitul; Zhang, Yida

doi:10.1007/s00603-021-02577-x

Cited by 13 publications

(3 citation statements)

References 84 publications

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“…The Material module unlocks the potential of the code to integrate with advanced constitutive models for more precise modeling of different rock formations. In this regard, the authors is currently implementing a time‐dependent microcrack damage model 60 in Material to couple with the proposed THMC UEL with the goal to evaluate the long‐term microstructural evolution of host rocks subjected to sustained heating. Another possible extension at the Material level is to incorporate possible coupling between various diffusion mechanisms in the conduction laws (i.e., the generalized Darcy's and Fick's laws 61 ).…”

Section: Discussionmentioning

confidence: 99%

Implementation and verification of a user‐defined element (UEL) for coupled thermal‐hydraulic‐mechanical‐chemical (THMC) processes in saturated geological media

Zhou

Zhang

2023

Num Anal Meth Geomechanics

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Efficient and accurate modeling of the coupled thermal-hydraulic-mechanicalchemical (THMC) processes in various rock formations is indispensable for designing energy geo-structures such as underground repositories for high-level nuclear wastes. This work focuses on developing and verifying an implicit finite element solver for generic coupled THMC problems in geological settings. Starting from the mass, momentum, and energy balance laws, a specialized set of governing equations and a thermoporoelastic constitutive model is derived. This system is then solved by an implicit finite element (FE) scheme. Specifically, the residuals and the Jacobians are scripted in a user-defined element (UEL) subroutine which is then combined with the general-purpose FE software Abaqus Standard to solve initial-boundary value problems. Considering the complexity of the system, the UEL development follows a stepwise manner by first solving the coupled hydraulic-mechanical (HM) and thermal-hydraulic-mechanical (THM) equations before moving on to the full THMC problem. Each implementation step consists of at least one verification test by comparing computed results with closed-form analytical solutions to ensure that the various coupling effects are correctly realized. To demonstrate the robustness of the algorithm and to validate the UEL, a three-dimensional case study is performed with reference to the in-situ heating test of ATLAS at Belgium in 1980s. A hypothetical radionuclide leakage event is then simulated by activating the chemical-concentration degree of freedom and prescribing a constant high concentration at the heater's surface.The model predicts a limited contaminated regime after six years considering both diffusion and advection effects on species transport.

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Section: Discussionmentioning

confidence: 99%

Implementation and verification of a user‐defined element (UEL) for coupled thermal‐hydraulic‐mechanical‐chemical (THMC) processes in saturated geological media

Zhou

Zhang

2023

Num Anal Meth Geomechanics

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“…In addition, according to Terzaghi's effective stress principle [50], the effective axial stress σ 1 and the effective confining pressure σ 3 can be expressed as:…”

Section: Energy Evolutionmentioning

confidence: 99%

Energy Dissipation and Fracture Mechanism of Layered Sandstones under Coupled Hydro-Mechanical Unloading

Song

Zhang

2023

Processes

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Rock burst is easy to occur in the water-rich roadway of coal mines, which is closely related to the energy dissipation and fracture mechanism of rocks under coupled hydro-mechanical (H-M) unloading. Therefore, in combination with the triaxial loading and unloading process and H-M coupling effect, the mechanical test of layered sandstones under coupled hydro-mechanical unloading (TLUTP) was conducted. The energy dissipation and fracture mechanism were revealed. The results show that: (1) The influence of layered angles on the peak volumetric strain is more sensitive than that of confining pressure under conventional triaxial loading with H-M coupling (CTLTP). On the contrary, the influence of confining pressure on the peak volumetric strain is more sensitive than that of layered angles under TLUTP. (2) With increasing layered angles, the peak elastic energy density under CTLTP shows the “W” shaped evolution characteristic, while that of under TLUTP shows the “N” shaped evolution characteristic. (3) The “Energy Flow” chain is proposed. Meanwhile, combined with the domino effect and the structural evolution theory, the energy dissipation and fracture mechanism of layered sandstones under coupled hydro-mechanical unloading are both revealed. The conclusions obtained can provide certain fundamental theoretical references for the effective prevention of rock burst in a layered water-rich roadway.

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“…Mahdi [13] investigated the asperity damage response of jointed Aue granite under confined compression. Sisodiya [14] proposed a novel microcrack damage theory for describing the time-dependent behavior of brittle rocks. Ashby [15] proposed a new damage ontology model.…”

Section: Introductionmentioning

confidence: 99%

Investigation and Numerical Simulation of the Influence of Fracture Inclination on rock Mass Strength and Failure Pattern

Fu,

Zhang,

et al. 2024

Atlantis Highlights in Engineering

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The mechanical properties and failure patterns of rock mass are greatly influenced by the presence of numerous initial cracks. This study aims to investigate the impact of crack inclination angle on the strength of damaged rock mass. To achieve this, rock specimens with cracks inclined at 0°, 30°, 45°, 60°, 75°, and 90° were prepared, and laboratory mechanical tests were conducted. The tests examined the influence of different crack inclination angles on rock strength and failure patterns. Additionally, numerical simulations were performed to study the effect of crack angle on stress distribution and deformation size during axial loading. The analysis of the failure patterns of rock mass under different crack angles revealed that the initial cracks weaken the strength of the rock mass. Moreover, the weakening effect decreases as the crack angle increases. The numerical simulations showed that the weakening effect is caused by significant stress concentration at the crack tip, leading to crack propagation from the crack tips. The simulation analysis further demonstrated that crack development aligns with the stress distribution in rock mass, starting from the crack tip where the stress is highest and propagating along the direction of internal stress until the specimen is ultimately destroyed.

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A Time-Dependent Directional Damage Theory for Brittle Rocks Considering the Kinetics of Microcrack Growth

Cited by 13 publications

References 84 publications

Implementation and verification of a user‐defined element (UEL) for coupled thermal‐hydraulic‐mechanical‐chemical (THMC) processes in saturated geological media

Implementation and verification of a user‐defined element (UEL) for coupled thermal‐hydraulic‐mechanical‐chemical (THMC) processes in saturated geological media

Energy Dissipation and Fracture Mechanism of Layered Sandstones under Coupled Hydro-Mechanical Unloading

Investigation and Numerical Simulation of the Influence of Fracture Inclination on rock Mass Strength and Failure Pattern

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