Study on Shale’s Dynamic Damage Constitutive Model Based on Statistical Distribution

The dynamic constitutive model of shale is basic for shale gas reservoir reforming. In order to investigate the dynamic mechanism of shale, a new dynamic damage constitutive model of shale under uniaxial impact load was established based on the statistical damage theory and the laboratory test results of deformation and the damage characteristics under the action of SHPB impact. Compared with the theoretical results, the model can describe shale’s mechanical attributes and reveal the fracture damage mechanism as well. The results will provide theoretical basis for hydraulic fracturing on shale and other dynamic reforming technics.

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Statistical Damage Constitutive Model for Concrete under Biaxial Tension

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.438-439.183 ◽

2013 ◽

Vol 438-439 ◽

pp. 183-186

Author(s):

Wei Feng Bai ◽

Jun Hong Zhang ◽

Jun Feng Guan ◽

Ying Cui

Keyword(s):

Constitutive Model ◽

Biaxial Tension ◽

Damage Model ◽

Damage Mechanism ◽

Deformation Properties ◽

Damage Constitutive Model ◽

Strength And Deformation ◽

Statistical Damage Constitutive Model ◽

Damage Theory ◽

Statistical Damage

Based on the statistical damage theory and the experimental phenomena, the statistical damage constitutive model for concrete under biaxial tension is proposed. The two meso-scale damage modes, rupture and yield are considered, and the whole damage evolution process is driven by the principal tensile damage strain. The results show that the proposed statistical damage model can accurately predict the constitutive behavior in the uniform damage phase for concrete under biaxial tension. The damage mechanism is discussed in the view point of biaxial strength and deformation properties.

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Study on Statistical Damage Theory Model of Tailings in a Metal Ore under the Action of Moisture Absorption and Dehumidification Circulation

Geofluids ◽

10.1155/2020/8892904 ◽

2020 ◽

Vol 2020 ◽

pp. 1-7

Author(s):

Bing Cao ◽

Hua Wei ◽

Mei-Qi Dou ◽

Lin Hu ◽

Yao-hui Guo

Keyword(s):

Mechanical Properties ◽

Constitutive Model ◽

Moisture Absorption ◽

Physical And Mechanical Properties ◽

Theory Model ◽

Hunan Province ◽

Test Results ◽

Damage Constitutive Model ◽

Damage Theory ◽

Statistical Damage

In order to explore the variation law of mechanical properties of tailing sand of a metal ore in Hunan Province under the action of moisture absorption and dehumidification circulation, based on the indoor triaxial test results of tailing sand, this paper introduces the statistical damage theory, combined with the physical and mechanical properties of tailing sand, and studies the elastic-plastic mechanical properties of tailing sand on the basis of the Lemaitre strain equivalent theory. Giving full consideration of the change of tailing sand’s pore and volume in the deformation process, an improved statistical damage constitutive model is proposed; it can reflect that the residual strength of tailings after the peak value still has bearing capacity under the action of dry wet circulation. Compared with the results of indoor triaxial consolidation undrained test, this constitutive model is more reliable.

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Statistic Damage Constitutive Model of Loessial Soil Considering Damage Threshold

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.204-208.370 ◽

2012 ◽

Vol 204-208 ◽

pp. 370-375 ◽

Cited By ~ 1

Author(s):

Xing Xie ◽

Dong Hong Wang ◽

Fa Suo Zhao

Keyword(s):

Constitutive Model ◽

Shear Test ◽

Damage Threshold ◽

Damage Mechanism ◽

Test Results ◽

Loessial Soil ◽

Calculation Results ◽

Damage Constitutive Model ◽

Statistical Damage Constitutive Model ◽

Undrained Shear

The damage mechanism of loessial soils was studied by the statistical theory.Based on the characteristics strength of loessial soils micro-unit with Weibull distribution, and parameters that described by distribution variable of Drucker-Prager creterion are used, loessial soils damage constitutive model considering damage threshold is established to reflect the full process of loessial soils failure. Conventional triaxial consolidation undrained shear test results of loessial soils are taken as example to verify the model. By comparing theoretical calculation results with test results, it is showed that the statistical damage constitutive model considering damage threshold is reasonable.

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Dynamic Damage Constitutive Model of Rock Based on Piecewise Functions

International Journal of Simulation Systems Science & Technology ◽

10.5013/ijssst.a.17.47.20 ◽

2016 ◽

Author(s):

Guest Editor Jianping Du

Keyword(s):

Constitutive Model ◽

Damage Constitutive Model ◽

Dynamic Damage ◽

Piecewise Functions

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Dynamic Damage Constitutive Model of Frozen Silty Soil with Prefabricated Crack under Uniaxial Load

Journal of Engineering Mechanics ◽

10.1061/(asce)em.1943-7889.0001933 ◽

2021 ◽

Vol 147 (6) ◽

Author(s):

Dongdong Ma ◽

Huasong Xiang ◽

Qinyong Ma ◽

Ezra Esanju Kaunda ◽

Kun Huang ◽

...

Keyword(s):

Constitutive Model ◽

Silty Soil ◽

Uniaxial Load ◽

Damage Constitutive Model ◽

Dynamic Damage

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Damage Mechanism Research of Yushu Airport Road Landslide No.3 Base on Elastoplastic Damage Constitutive Model

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.744-746.464 ◽

2015 ◽

Vol 744-746 ◽

pp. 464-469

Author(s):

Hong Gang Wu ◽

Tao Yang ◽

Xiao Yun Chen ◽

Hui Min Ma ◽

Hong Li Zhang ◽

...

Keyword(s):

Constitutive Model ◽

Damage Mechanism ◽

Earthquake Triggering ◽

Triggering Mechanism ◽

Finite Element Program ◽

Plastic Damage ◽

Mechanism Research ◽

Element Program ◽

Damage Constitutive Model ◽

Stability Of Slope

Due to the earthquake of Yushu in April 14, 2010, Airport Road landslide No.3 deformed cracking, resulting in lower stability of slope, triggering landslides and other diseases. Selecting the section 2-2 (mileage K823 + 809) of Airport Road landslide No.3 as the calculation section, we use the ABAQUS finite element program to establish landslide numerical mode. The slip mass of landslide was simulated by the elastic-plastic damage constitutive model, and the bedrock was analyzed as Mohr - Coulomb constitutive model. Landslide No3 is analyzed for example, and showed that earthquake triggering mechanism elastplastic damage constitutive model can describe the landslide very well.

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A statistical damage constitutive model considering whole joint shear deformation

International Journal of Damage Mechanics ◽

10.1177/1056789519900778 ◽

2020 ◽

Vol 29 (6) ◽

pp. 988-1008 ◽

Cited By ~ 26

Author(s):

Shijie Xie ◽

Hang Lin ◽

Yixian Wang ◽

Yifan Chen ◽

Wei Xiong ◽

...

Keyword(s):

Constitutive Model ◽

Damage Evolution ◽

Shear Stiffness ◽

Rock Joints ◽

Residual Phase ◽

Proposed Model ◽

Damage Constitutive Model ◽

Damage Theory ◽

Joint Shear ◽

Statistical Damage

The whole shear deformation of rock joints significantly affects the long-term behavior and safety of engineering projects. In this paper, a new damage constitutive model related to the Weibull distribution and statistical damage theory is proposed. This model considers the shear stiffness degradation, post-peak softening, and residual phase of rock joints in the whole shearing process. Main works include the three following aspects: First, the phase of initial damage is determined on the assumption that the joint shear failure is regarded as a result of damage evolution, according to the typical joint shear curve and the three-parameter Weibull distribution. Then, a statistical damage evolution model for the whole joint shearing process is introduced to make this model be capable of describing the residual phase of rock joints. Finally, a statistical constitutive model for the whole joint shearing process is proposed by statistical damage theory, and the calculated results of the models are compared to the experimental results. The results indicate that the proposed model shows a good agreement with the experimental examples, and the proposed model can distinctly reflect the effects of residual stress, peak stress, and shear stiffness. In addition, the model parameters can be mathematically confirmed and have distinct physical meanings.

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A Multiparameter Damage Constitutive Model for Rock Based on Separation of Tension and Shear

Mathematical Problems in Engineering ◽

10.1155/2015/821093 ◽

2015 ◽

Vol 2015 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

YanHui Yuan ◽

Ming Xiao

Keyword(s):

Constitutive Model ◽

Damage Model ◽

Damage Mechanism ◽

Internal Variable ◽

Damage Variable ◽

Tensor Form ◽

Shear Damage ◽

Damage Constitutive Model ◽

Microscopic Damage ◽

Elastoplastic Damage

By analysis of the microscopic damage mechanism of rock, a multiparameter elastoplastic damage constitutive model which considers damage mechanism of tension and shear is established. A revised general form of elastoplastic damage model containing damage internal variable of tensor form is derived by considering the hypothesis that damage strain is induced by the degeneration of elastic modulus. With decomposition of plastic strain introduced, the forms of tension damage variable and shear damage variable are derived, based on which effects of tension and shear damage on material’s stiffness and strength are considered simultaneously. Through the utilizing of Zienkiewicz-Pande criterion with tension limit, the specific form of the multiparameter damage model is derived. Numerical experiments show that the established model can simulate damage behavior of rock effectively.

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A Damage Constitutive Model of Red Sandstone under Coupling of Wet-Dry Cycles and Impact Load

Shock and Vibration ◽

10.1155/2019/7692424 ◽

2019 ◽

Vol 2019 ◽

pp. 1-12 ◽

Cited By ~ 2

Author(s):

Bin Du ◽

Haibo Bai

Keyword(s):

Constitutive Model ◽

Dynamic Stress ◽

Loading Rate ◽

Impact Load ◽

Coupling Effect ◽

Dynamic Compression ◽

Dominant Role ◽

Stress Strain ◽

Red Sandstone ◽

Damage Constitutive Model

In the engineering fields of mining, tunneling, slopes, and dams, rocks are usually subject to the coupling effect of impact load and wet-dry cycles. The deformation rule of rocks under the coupling effects is a symbolic mechanical property, which lays the foundation for the design and evaluation in the rock engineering. In this paper, the coupling damage was classified as mesodamage induced by wet-dry cycles and macrodamage induced by impact load, and the loading rate effect was considered as the load damage. Besides, a constitutive model of coupling damage was concluded based on Lemaitre’s strain equivalent assumption. Consequently, the validity of the model was verified by a series of dynamic compression tests of red sandstone. Results indicated that the proposed damage constitutive model can definitely describe the dynamic stress-strain curves of red sandstone after wet-dry cycles and impact load. The evolution of coupling damage curves showed that wet-dry cycle damage plays a dominant role in the elastic deformation stage, while the yield failure stage is controlled by the load damage in which the loading rate cannot be ignored. Parametric study was also performed to analyze the effect of parameters on dynamic stress-strain curves. The proposed mode has the simple and reliable operation with few parameters and can efficiently predict the long-term deformation behavior of rocks subject to multiple wet-dry cycles.

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