Modelling the dynamic failure of brittle rocks using a hybrid continuum-discrete element method with a mixed-mode cohesive fracture model

Gui, Yilin; Bui, Ha H.; Kodikara, Jayantha; Zhang, Qianbing; Zhao, Jun; Rabczuk, Timon

doi:10.1016/j.ijimpeng.2015.04.010

Cited by 98 publications

(17 citation statements)

References 87 publications

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“…Molaro et al () carried out fully three‐dimensional finite element calculations of macroscopic thermal stress development in various sized rocks on the Moon ( δ ∼0.8 m), and reported values of the maximum surface principal stresses of ∼2 MPa, ∼5 MPa, and ∼9 MPa for D =0.3 m, D =0.5 m, and D =0.7 m. Remarkably, these stress values are fairly consistent with predictions (respectively ∼1.5 MPa, ∼4 MPa, and ∼8 MPa for the same set of material properties) of Equation despite its simplicity and lack of fitting parameters. These stress values are generally smaller than fracture toughness of typical rocks (Asadi, Taeibi‐Rahni, Akbarzadeh, Javadi, & Ahmadi, ; El Mir, Ramesh, & Delbo, ; Eppes & Keanini, ; Gui, Bui, Kodikara, Zhang, & Zhao, ) and would lead to slow steady fatigue process.…”

Section: Effect Of Diurnal Temperature Variations and Gradients On Thmentioning

confidence: 97%

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

et al. 2019

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Thermal stress weathering is now recognized to be an active and significant geomorphological process on airless bodies. This study aims to understand the key factors governing thermal stresses in rocks on airless bodies through extensive numerical calculations and analytic analyses. Microscopic (grain‐scale) thermal stresses are driven primarily by the maximum diurnal temperature variation at said depth. Macroscopic (rock‐scale) thermal stresses are more complex. For rock sizes larger than the thermal skin depth, macroscopic thermal stresses are driven primarily by second (and higher) order spatial gradients of temperature. For rock sizes smaller than the thermal skin depth, macroscopic thermal stresses are primarily driven by the ratio of rock size to thermal skin depth. Additionally, scaling relations for diurnal surface temperature variation, time‐rate‐of‐change of surface temperature, as well as peak microscopic (grain‐scale) and macroscopic (rock‐scale) thermal stresses are derived to provide a more accessible modeling tool. These scaling relations are remarkably accurate when compared to both the numerical calculations as well as three‐dimensional finite element calculations. The model formulation, results, and scaling relations provided here allow the estimation of diurnal temperatures and thermal stresses on rocks of various size and materials on airless bodies at any orbital distance with a broad spectrum of spin rates. Lastly, we postulate and confirm that there is a critical spin rate where macroscopic thermal stresses will be greatest.

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Section: Effect Of Diurnal Temperature Variations and Gradients On Thmentioning

confidence: 97%

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

et al. 2019

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“…Doan et al established a numerical simulation developed based on phase field theory, to consider a mode I crack problem. Gui et al used the hybrid continuum‐discrete element method for simulating the fracturing process in rock dynamic tests based on notched semicircular bending and Brazilian disc tests. Using an eigensoftening mesh‐free approach, a three‐point bending test of concrete with a drop‐weight device was used to simulate the gradual process of failure in the brittle materials .…”

Section: Introductionmentioning

confidence: 99%

Modelling of crack propagation in rocks under SHPB impacts using a damage method

Wang

Zhu

et al. 2019

Fatigue Fract Eng Mat Struct

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Rock dynamic fracture is a complex problem and has received considerable attention during the last few decades. In this paper, tensile crack softening failure criterion is used to study impact‐induced crack initiation and propagation in rocks. In order to examine applicability of the criterion, under realistic loading and boundary conditions, three boundary conditions were analyzed in details and an impacting experiment using single cleavage semicircle compression (SCSC) specimens had been successfully simulated. A good agreement was achieved between the simulation and experimental results. It was concluded that the boundary conditions play an important role in rock dynamic fracturing. When a stress wave propagates from a material with low wave impedance to a material of high wave impedance, the compression wave is partially reflected back and the process of fast cracking is suppressed. In addition, with the change of the tensile strength and the fracture energy, the crack initiation modes can be divided into four types.

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“…Besides this, numerical simulation also plays an important role in crack coalescence research [1,22,[31][32][33]. One of the popular tools nowadays is the discrete element method [18,[34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study on the Crack Development Behavior of Rock-Like Material Containing Two Intersecting Flaws

et al. 2019

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It is quite often that rocks contain intersecting cracks. Therefore, crack behavior cannot be completely studied by only considering several isolated, single flaws. To investigate the crack behavior of rock or rock-like material containing intersecting flaws under uniaxial loading, numerical simulations were carried out using parallel bonded-particle models containing two intersecting flaws with different inclination angles (varying β) and different intersection angles (varying αα). The crack propagation processes are analyzed and two typical patterns of linkage are observed between two intersecting flaws: (1) One-tip-linkage that contains three subtypes: Coalescence position near the tip; coalescence position at the flaw, but far away from the tip; coalescence position outside the flaw at a certain distance from the tip; and (2) two-tip-linkage with two subtypes: Straight linkage and arc linkage. The geometries of flaws influence the coalescence type. Moreover, the effects of intersection angle α and inclination angle β on the peak stress, the stress of crack initiation, and the stress of crack coalescence are also investigated in detail.

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Modelling the dynamic failure of brittle rocks using a hybrid continuum-discrete element method with a mixed-mode cohesive fracture model

Cited by 98 publications

References 87 publications

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

Unraveling the Mechanics of Thermal Stress Weathering: Rate‐Effects, Size‐Effects, and Scaling Laws

Modelling of crack propagation in rocks under SHPB impacts using a damage method

A Numerical Study on the Crack Development Behavior of Rock-Like Material Containing Two Intersecting Flaws

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