Statistical damage model with strain softening and hardening for rocks under the influence of voids and volume changes

Cao, Wengui; Zhao, Heng; Li, Xiang; Zhang, Yong-Jie ZhangY.-J.

doi:10.1139/t09-148

Cited by 105 publications

(47 citation statements)

References 49 publications

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“…According to the stress equilibrium equation and limit equilibrium condition in the plastic zone, the equations of stress in the plastic zone are shown in Equations (5) and (6).…”

Section: Stress Fields In Plastic and Broken Zonesmentioning

confidence: 99%

Study on Surrounding Rock-Bearing Structure and Associated Control Mechanism of Deep Soft Rock Roadway Under Dynamic Pressure

et al. 2019

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Providing support for deep soft rock roadways under dynamic pressure is a major technical challenge. In this study, the distribution characteristics of surrounding rock-bearing structure of such roadways were systematically examined using theoretical analysis and numerical simulation. Based on the control effect of different support methods on the surrounding rock-bearing structure; a reinforcement scheme for deep dynamic soft rock roadway was proposed and applied. The results indicate that: (1) by increasing the supporting strength of the internal bearing structure, cohesion, and internal friction angle of the surrounding rock, and by reducing the influence of mining, making the external bearing structure close to the roadway and reducing the thickness of the bearing structure, can improve the bearing capacity of the shallow surrounding rock in the roadway; (2) under the conditions of dynamic load and creep of the surrounding rock; the deformation of the rock increases significantly; external bearing structure is far away from the roadway, and thickness of the bearing structure increases; anchor cable support and floor pressure relief effect better control over the roof and the roadside deformation and floor heave, respectively; and the thickness of the corresponding external bearing structure is reduced by 30.84% and 41.50%, respectively; and (3) based on the application, the zonal reinforcement scheme of “fix cable to shed, floor pressure relief, deep-shallow composite grouting” is proposed and put into practice, with good results. The results of this study can provide theoretical support and reference for the determination of supporting parameters in deep roadways.

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“…According to the stress equilibrium equation and limit equilibrium condition in the plastic zone, the equations of stress in the plastic zone are shown in Equations (5) and (6).…”

Section: Stress Fields In Plastic and Broken Zonesmentioning

confidence: 99%

Study on Surrounding Rock-Bearing Structure and Associated Control Mechanism of Deep Soft Rock Roadway Under Dynamic Pressure

et al. 2019

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“…Next, before the damage evolution equation presented, some assumptions are given in the following [22]: (e) Microunit strength follows a Weibull distribution, where the three-parameter density and distribution functions are given by the following:…”

Section: Damage Evolution Equation Considering the Thermalmentioning

confidence: 99%

“…However, these previous statistical models did not reflect the residual strength of rocks. By introducing a coefficient into the damage variable, the statistical damagebased model will be able to describe the residual strength [22,23]. For thermal effects, Zhang et al [24] proposed a three-parameter Weibull distribution to express the rock constitutive behavior under a uniaxial compression test, which considers the thermal-mechanical coupling conditions.…”

Section: Introductionmentioning

confidence: 99%

A Statistical Constitutive Model considering Deterioration for Brittle Rocks under a Coupled Thermal-Mechanical Condition

Gao

Wei

et al. 2018

Geofluids

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Due to active actions of groundwater and geothermal, the stability of underground engineering is important during geological structure active area. The damage mechanical theory and statistical mesoscopic strength theory based on Weibull distribution are widely used to discuss constitutive behaviors of rocks. In these theories, a statistical method is used to capture mesoscopic properties of rocks in order to generate a realistic behavior at a macroscopic scale. Based on the above theories, this paper aims at establishing a constitutive relation of brittle rocks under thermal-mechanical coupling conditions. First, a statistical damage constitutive model was established by considering the thermal effects and crack initiation strength. Subsequently, the parameters of the model were determined and expressed according to the characteristics of stress-strain curve. Third, the model was verified by conventional triaxial experiments under thermal-mechanical actions, and the experimental data and theoretical results were compared and analyzed in the case study. Finally, the physical meaning of the parameters and their effects on the model performance were discussed.

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“…However, describing the constitutive relations when the frozen soil exhibits inconspicuous strain–softening behavior remains a challenge. Recently, new constitutive models have been presented to overcome the drawbacks mentioned above by introducing the statistical continuum damage mechanics theory [31,32,33,34,35], which can better describe the constitutive relations of frozen soil. However, few relevant theoretical investigations have been conducted on the mechanical properties of artificial frozen silty clay subjected to different temperatures, water contents, and confining pressures.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Investigations of the Constitutive Relations of Artificial Frozen Silty Clay

Chen

Mao

2019

Materials

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The strength and deformation characteristics of artificial frozen soils are quite sensitive to temperature, confining pressure, and water content. To investigate these effects, a series of triaxial compressive tests on frozen Harbin silty clay were conducted at temperatures of −5 °C, −10 °C, and −15 °C under different confining pressures and water contents. From the stress–strain curves under lower water content and confining pressure, strain–softening behavior was observed. The modified Duncan–Chang (MDC) model was employed to describe the constitutive relations of artificial frozen silty clay while considering the strain–softening effects. After introducing statistical damage (SD) theory, an SD constitutive model with the failure strain as a random variable was proposed, which is able to overcome the drawbacks of the MDC model. The predicted SD model results are found to be consistent with the experimental results.

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Statistical damage model with strain softening and hardening for rocks under the influence of voids and volume changes

Cited by 105 publications

References 49 publications

Study on Surrounding Rock-Bearing Structure and Associated Control Mechanism of Deep Soft Rock Roadway Under Dynamic Pressure

Study on Surrounding Rock-Bearing Structure and Associated Control Mechanism of Deep Soft Rock Roadway Under Dynamic Pressure

A Statistical Constitutive Model considering Deterioration for Brittle Rocks under a Coupled Thermal-Mechanical Condition

Experimental and Theoretical Investigations of the Constitutive Relations of Artificial Frozen Silty Clay

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