Energy analysis and criteria for structural failure of rocks

Xie, Heping; Li, Liyun; Peng, Ruidong; Ju, Yang

doi:10.3724/sp.j.1235.2009.00011

Cited by 424 publications

(213 citation statements)

References 4 publications

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“…The energy per rock element under an external load can be obtained from the complete stress-strain curves on the premise that there is no heat conversion during the test [20]. Essentially, the total absorbed energy of the rock element at the peak strength involves elastic energy and dissipation energy and is expressed as follows.…”

Section: Progressive Failure Characteristics and Energy Evolutionmentioning

confidence: 99%

“…The dissipation energy per rock element is evaluated to be the area under the stress-strain curve enclosed by the loading-unloading curve. These energies are given as follows [20,24]:…”

Section: Progressive Failure Characteristics and Energy Evolutionmentioning

confidence: 99%

“…The progressive failure characteristics and stress thresholds were analyzed and the full-field strain patterns and crack propagation on the whole surface of coal were obtained in uniaxial and triaxial compression. Furthermore, the energy evolution, which is closely related to coal damage [20], was analyzed. The results make significant contributions toward understanding the coal failure mechanism and helping engineers understand the deformation behavior of coal in situ.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Study on the Progressive Failure Characteristics of Coal in Uniaxial and Triaxial Compression Conditions Using 3D-Digital Image Correlation

Tang

Okubo

et al. 2018

Energies

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Abstract:To investigate the progressive failure process of coal, a series of uniaxial and triaxial compression tests were conducted and a novel 3D digital image correlation instrument with six cameras combined with a special transparent pressure cell was used for the strain measurement. The stress thresholds of coal were obtained in uniaxial and triaxial compression. The energy evolution during the compression was discussed, coupled with the crack volumetric strain. The field strain of the whole specimen surface and crack propagation at different stress levels were described to study the progressive failure mechanism of coal. The average stress level of crack initiation and crack damage of coal in uniaxial compression are 43.75% and 63.03%, while that in the triaxial compression are 74.53% and 89.84%, respectively. The dissipation energy evolution corresponds to the crack volumetric strain, while the elastic energy release leads to flake ejection and coal failure. The crack evolution and localization of coal indicated the progressive failure process that the coal sample undergoes in tension failure in uniaxial compression and in tension-shear failure in triaxial compression. The findings of this study can serve as a reference to understand the failure process of coal and improve the stability and safety of mining engineering.

show abstract

Section: Progressive Failure Characteristics and Energy Evolutionmentioning

confidence: 99%

“…The dissipation energy per rock element is evaluated to be the area under the stress-strain curve enclosed by the loading-unloading curve. These energies are given as follows [20,24]:…”

Section: Progressive Failure Characteristics and Energy Evolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Study on the Progressive Failure Characteristics of Coal in Uniaxial and Triaxial Compression Conditions Using 3D-Digital Image Correlation

Tang

Okubo

et al. 2018

Energies

View full text Add to dashboard Cite

show abstract

“…The calibrated models may be able to provide useful information about possible locations and intensities of unstable failures in future mining operations and prevent serious coal bursts from occurring. Different coal burst proneness indexes were suggested by different researchers [16]. Xie et al [16] indicated that dissipated and released energy can play a significant role.…”

Section: Discussion Of the Resultsmentioning

confidence: 99%

“…Different coal burst proneness indexes were suggested by different researchers [16]. Xie et al [16] indicated that dissipated and released energy can play a significant role. A sudden release of the strain energy may lead to a catastrophic failure, which clearly indicates a certain condition where the coal mass collapses.…”

Section: Discussion Of the Resultsmentioning

confidence: 99%

Analytical Determination of Energy Release in a Coal Mass

et al. 2018

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Abstract:In underground mining, it is not currently feasible to forecast a coal burst incident. A coal burst usually includes suddenly abrupt energy release in line with the significant deformed shape in a coal mass as well as coal ejection. The major source of the released energy is the energy stored in the coal. The effect of geological characteristics in the coal on the possible released energy due to material and joint damping is classified as a current silent issue. Therefore, innovative research is needed to understand the influence of coal's joint and cleat characters (directions and densities) on the possible energy release and/or dissipation. A simple and novel analytical solution is developed in this paper to calculate the amount of released energy due to varying joint density. A broad validation is conducted by comparing the outcomes of the developed analytical model with the results of a three-dimensional numerical simulation using the commercial discrete element package 3DEC. An appropriate agreement has been observed between the results from the numerical modelling and the suggested closed form solution. The paper derives a novel analytical solution to calculate the amount of released energy in coal with different joint densities.

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Evaluation of rockburst proneness considering specimen shape by storable elastic strain energy

Luo

Gong

2022

Deep Underground Science and Engineering

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To systematically assess the rockburst proneness considering specimen shape, multiple groups of laboratory tests were performed on 5 rock materials in cylindrical and cuboid shapes. The linear energy storage (LES) law of both cylindrical and cuboid rock specimens under uniaxial compressive load was confirmed, and the energy storage coefficient was found to be unrelated to specimen shape. On the basis of LES law, two rockburst proneness indexes, namely the strain energy storage index (W et ) and the potential energy of elastic strain (PES), were modified. Subsequently, the W et , PES, peak-strength strain energy storage index (W ) et p , and peak-strength potential energy of elastic strain (PES p ) were used to assess the rockburst proneness of the cylindrical and cuboid specimens. In addition, the fragment ejection course of specimens under test was recorded by a high-speed camera. Then, the rockburst proneness judgments obtained from the 4 indexes were compared with the qualitative data during rock destruction. The results show that, under similar stress conditions, specimen shape has an ignorable effect on the rockburst proneness as a whole. The judgment accuracy of the two modified indexes, especially that of the PES p , is favorably improved to evaluate the rockburst proneness of both cylindrical and cuboid specimens. However, misjudgment of W et p and PES p may still occur in the assessment of rockburst proneness as these two indexes only consider the energy state before rock peak strength and the W et p is formulated in a ratio form.

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Energy analysis and criteria for structural failure of rocks

Cited by 424 publications

References 4 publications

Study on the Progressive Failure Characteristics of Coal in Uniaxial and Triaxial Compression Conditions Using 3D-Digital Image Correlation

Study on the Progressive Failure Characteristics of Coal in Uniaxial and Triaxial Compression Conditions Using 3D-Digital Image Correlation

Analytical Determination of Energy Release in a Coal Mass

Evaluation of rockburst proneness considering specimen shape by storable elastic strain energy

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