Construction of Frozen Sandstone Creep Damage Model and Analysis of Influencing Factors Based on Fractional-Order Theory

Li, Zuyong; Yang, Gang; Yao, Wei

doi:10.1007/s13369-021-05828-9

Cited by 13 publications

(6 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, the high-stress level results in more considerable creep deformation and causes the accelerated creep stage to appear earlier. Li et al (2021) assessed the sensitivity of the fractional derivative order, and Zhang et al (2022) demonstrated the effect of applied stress on the rocks' creep behavior. The comparison of Fig.…”

Section: Discussionmentioning

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

View full text Add to dashboard Cite

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.

show abstract

Section: Discussionmentioning

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

View full text Add to dashboard Cite

show abstract

“…Furthermore, Li et al (2021) suggested a creep model that considers the coupling of temperature, damage, and stress. They replaced the viscosity dashpots of the Nishihara model with the Abel dashpots.…”

Section: Mechanism-based Creep Constitutive Modelsmentioning

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

View full text Add to dashboard Cite

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.

show abstract

“…Zhao 11 established an equivalent Burgers model for creep fracture in a fractured rock body by introducing equivalent stresses and proposed a double Burgers model, which was used in the creep test. Li et al 12 . carried out creep mechanics testing on saturated frozen Cretaceous sandstone under different peripheral pressure conditions, drew on classical modeling ideas based on a Riemann–Liouville-type integral function to establish a five-element nonlinear creep damage constitutive equation considering low temperature-damage-stress coupling, and carried out validation of the model.…”

Section: Introductionmentioning

confidence: 99%

Simulation analysis of the evolution law of creep rupture crack extension in X-fractured rock body

Zhao,

Wei,

Wang

et al. 2024

Sci Rep

View full text Add to dashboard Cite

Creep is the macroscopic manifestation of the process of generation, expansion, and penetration of microscopic cracks in a rock body. In this study, the GDEM continuous–discontinuous numerical simulation software was used to model a rock body containing X-fractured for the purposes of exploring creep crack expansion and rupture in the rock body, analyzing the effects of various factors on X-fractured the rock body under the rule of change of the creep curve, and assessing the influences of the intersection angle of the fracture and other factors on the non-parallel fractured rock body on the creep rupture process. The results show that an X-fractured rock body exhibits a mixed tensile–shear damage mode, with tensile damage being the main type of damage. In the isotropic creep stage of a rock body with X-fractured , the steady-state creep rate initially increases and then decreases as the sub- fracture length increases, with the change of the fracture angle of the creep rate of the w-type; the sub-fracture length of h is 14 mm, the rock body is the first to enter into the accelerated creep stage, for the different fracture intersection angle of the rock body For the rock mass with different fracture angles, the time sequence of entering the accelerated creep stage is consistent with the creep rate; when the fracture intersection angle is 45°, and the sub-fracture length is 12 mm, the rock mass has the largest degree of fragmentation, which has a significant impact on the creep damage; after using a single variable processing, it is found that the fracture intersection angle, the sub-fracture length and other factors compared to the fracture intersection angle has a greater impact on the creep damage of the X-fractured rock body. This paper can provide theoretical basis and reference for the study of rock engineering creep damage law and mechanical properties of X-fractured rock body.

show abstract

Construction of Frozen Sandstone Creep Damage Model and Analysis of Influencing Factors Based on Fractional-Order Theory

Cited by 13 publications

References 30 publications

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

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

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

Simulation analysis of the evolution law of creep rupture crack extension in X-fractured rock body

Contact Info

Product

Resources

About