A statistical damage-based fractional creep model for Beishan granite

Zhou, Hongwei; Jia, Wenhao; Xie, Shengrong; Su, Teng; Zhang, Lei; Ma, Binwen; Hou, Wei

doi:10.1007/s11043-021-09535-8

Cited by 12 publications

(7 citation statements)

References 45 publications

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“…As presented in Table 9, most of the models exhibit high values of R 2 and low values of RMSE, indicating they successfully simulate the third phase of rock creep. However, the methods proposed by , Yang and Li (2018), Zhou et al (2023), andZhou et al (2022) stand out with the highest coefficient of determination and Fig. 4 further illustrates that the creep curves proposed by these methods have a superior fitting effect.…”

Section: Comparison Of Models' Ability To Simulate the Accelerated Cr...mentioning

confidence: 93%

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Review of the creep constitutive models for rocks and the application of creep analysis in geomechanics

Tarifard,

Török,

Görög

2024

Rock Mech Rock Eng

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The creep behavior of rocks has been broadly researched because of its extensive application in geomechanics. Since the time-dependent stability of underground constructions is a critical aspect of geotechnical engineering, a comprehensive understanding of the creep behavior of rocks plays a pivotal role in ensuring the safety of such structures. Various factors, including stress level, temperature, rock damage, water content, rock anisotropy, etc., can influence rocks’ creep characteristics. One of the main topics in the creep analysis of rocks is the constitutive models, which can be categorized into empirical, component, and mechanism-based models. In this research, the previously proposed creep models were reviewed, and their main characteristics were discussed. The effectiveness of the models in simulating the accelerated phase of rock creep was evaluated by comparing their performance with the creep test results of different types of rocks. The application of rock’s creep analysis in different engineering projects and adopting appropriate creep properties for rock mass were also examined. The primary limitation associated with empirical and classical component models lies in their challenges when it comes to modeling the tertiary phase of rock creep. The mechanism-based models have demonstrated success in effectively simulating the complete creep phases; nevertheless, additional validation is crucial to establish their broader applicability. However, further investigation is still required to develop creep models specific to rock mass. In this paper, we attempted to review and discuss the most recent studies in creep analysis of rocks that can be used by researchers conducting creep analysis in geomechanics.

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Section: Comparison Of Models' Ability To Simulate the Accelerated Cr...mentioning

confidence: 93%

“…Another novel constitutive model for granite was introduced by Zhou et al (2023). In this study, a new damaged dashpot was introduced to simulate the third phase of creep by incorporating the damage variable into the fractional order of the Abel dashpot (Eq.…”

Section: Studymentioning

confidence: 99%

Review of the creep constitutive models for rocks and the application of creep analysis in geomechanics

Tarifard,

Török,

Görög

2024

Rock Mech Rock Eng

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“…Fractional derivative creep models have captured the interest of academics due to their substantial advantages, including having few parameters, simple form, and excellent applicability (Huang et al 2021). Several researchers also considered that the accelerating creep phase involves the rapid development of micro-cracks and can be explained by introducing damage factors and viscoplastic elements (Zhou et al 2023). In this study, the initial step involved substituting the Newton dashpot with the fractional derivative Abel dashpot in the Kelvin body while introducing a nonlinear viscoplastic component to represent the tertiary creep phase of rocks.…”

Section: Introductionmentioning

confidence: 99%

Improved nonlinear Burger creep model for soft rocks based on the fractional-order theory and considering viscoplastic deformation

Tarifard,

Török,

Görög

2023

Preprint

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The significance of creep behavior in soft rocks is crucial in rock engineering, particularly when ensuring the time-dependent stability of underground structures. This study proposed a new nonlinear creep constitutive model to represent the soft rock’s creep behavior subjected to uniaxial and triaxial stress conditions. The Burger model was modified by substituting the traditional Newton dashpot with the fractional derivative Abel dashpot, and a viscoplastic body was introduced in series with the improved Burgers model to simulate the accelerating phase of rock creep. The model's efficacy was confirmed by fitting the parameters using creep test data from different soft rocks. The isochronous stress-strain curve approach was employed to calculate the long-term strength of rocks, and a sensitivity analysis was conducted to evaluate how the model parameters affect creep deformation. The high agreement between the predicted outcomes and the actual creep experimental data for salt, shale, and sandstone demonstrates the proposed model's accuracy and logic. These results indicate that the model reliably represents soft rocks' nonlinear creep characteristics and the whole creep process.

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“…Considering the environment and practical engineering background of deep coal, numerous scholars have conducted creep tests with different loading methods, including uniaxial creep tests, , triaxial creep tests, , and different loading paths, including constant confining pressure graded loading axial pressure, unloading confining pressure with constant axial pressure, and cyclic loading–unloading axial pressure . Based on various experimental results, combining fractional derivative theory and continuum damage mechanics theory, , different creep constitutive models are built to characterize the creep deformation behavior of deep coal. It can be found that there are relatively few works on explaining the creep deformation behavior of deep coal from the microscopic perspective.…”

Section: Introductionmentioning

confidence: 99%

“…Considering the environment and practical engineering background of deep coal, numerous scholars have conducted creep tests with different loading methods, including uniaxial creep tests, 11,12 triaxial creep tests, 13,14 and different loading paths, including constant confining pressure graded loading axial pressure, 15 unloading confining pressure with constant axial pressure, 16 and cyclic loading−unloading axial pressure. 17 Based on various experimental results, combining fractional derivative theory 18 and continuum damage mechanics theory, 19,20 In general, coal contains many nanoscale pores and fractures, which can provide channels and space for flow and gas deposition. 21,22 It is very important for the safe mining of deep underground resources and the stable service of underground buildings to clarify the evolution law of microscopic pore-fracture structure in the process of coal creep and realize the visualization of the dynamic evolution of pore fracture.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Monitoring of Pore-Fracture Structure Evolution during Coal Creep Based on NMR

et al. 2022

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Understanding the structural change of coals at micro- and mesoscales during the creep process is essential for exploring the time-dependent properties of deep coal and the long-term safe and effective operation of deep underground engineering. The conventional triaxial compression and creep tests on coal are carried out using a nuclear magnetic resonance (NMR) apparatus with a complete mechanical loading system at different confining pressures. The variations of parameters such as peak areas of various pore distributions, pore percentage, and porosity increment are quantitatively analyzed by real-time monitoring of T 2 spectra during loading. Combined with nuclear magnetic resonance imaging (NMRI), accurate characterization and visualization of microscopic pore structures in coal are realized. The experimental results show that the adsorption pore proportion in the pore structure of the deep coal sample from Pingdingshan, Henan Province, is more than 80%. The changes in seepage pores and microfractures are most obvious in the triaxial compression and creep test. The creep deformation leads to the development of pore structure, and the creep porosity growth rate M increases gradually with increasing stress levels. M can accurately describe the rapid development of the pore structure and the damage accumulation due to time effects during creep. During creep, the most obvious changes in pore structure are the first and last levels of creep. The fractal dimension shows an “inverted V” trend during creep and is more sensitive to the inhibition of pore-fracture structure evolution due to increasing confining pressure. The creep strain increment and porosity increment during graded creep appear to be a similar behavior, indicating that the change of pore structure in the creep process based on the NMR system test can reveal the creep damage mechanism and indirectly characterize the deformation behavior of coal creep.

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A statistical damage-based fractional creep model for Beishan granite

Cited by 12 publications

References 45 publications

Review of the creep constitutive models for rocks and the application of creep analysis in geomechanics

Review of the creep constitutive models for rocks and the application of creep analysis in geomechanics

Improved nonlinear Burger creep model for soft rocks based on the fractional-order theory and considering viscoplastic deformation

Real-Time Monitoring of Pore-Fracture Structure Evolution during Coal Creep Based on NMR

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