Strain-softening composite damage model of rock under thermal environment

Feng, Wenlin; Qiao, Chunsheng; Tan, Weixian; Yu, Ming-yuan; Niu, Shuangjian; Jia, Ziqi

doi:10.1007/s10064-020-01808-9

Cited by 15 publications

(11 citation statements)

References 47 publications

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“…Taking the uniaxial compression test results of Gritstone 73 (the experimental stress–strain curve in Figure 7) as an example, the modeling process of a complete stress–strain curve using the proposed model (Equation 27) is described in detail.…”

Section: Verificationmentioning

confidence: 99%

A semiempirical constitutive relationship for rocks under uniaxial compression considering the initial damage recovery

Xie

Han

Zhou

2023

Fatigue Fract Eng Mat Struct

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A better understanding of the constitutive model and damage evolution law is the premise to ensure their feasibility and practicability in rock engineering projects. In this paper, a damage constitutive relationship, which can reflect the initial damage recovery, is established based on the generalized equivalent strain principle and the initial tangent modulus. A Weibull distribution-based model is also established to represent the deformation after the compaction point. A piecewise expression of the complete stress-strain curve of rocks under uniaxial compression is thereby obtained by the combination of the above two constitutive models. Finally, the effectiveness of the piecewise constitutive relationship is verified using uniaxial compression test data of different types of rocks. The results show that the theoretical curves are in good agreement with the experimental curves. Parameters of the proposed relationship are relatively to be derived, making it convenient for engineering applications.

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Section: Verificationmentioning

confidence: 99%

A semiempirical constitutive relationship for rocks under uniaxial compression considering the initial damage recovery

Xie

Han

Zhou

2023

Fatigue Fract Eng Mat Struct

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“…In this case, Shen [ 58 ] and Cao et al [ 59 ] proposed that the damaged component of rock provided the residual stress σ r , as presented in Equation (22). In fact, there exist a great number of ways to consider the residual strength in the model such as using various correction factors with different definitions [ 34 , 35 ], while the core is to satisfy the relation that axial stress is equal to the residual strength when D is 1. By contrast, Equation (22) is more intuitive.…”

Section: Establishment Process Of Piecewise Constitutive Model Of Rockmentioning

confidence: 99%

“…Ultimately, the piecewise constitutive model considering the deformation feature during fracture closure was achieved, which was fitted from the existing uniaxial and triaxial compression test results. Compared with the model by Feng et al [ 35 ], this newly proposed model shows a more concise expression in the compaction stage and residual stage, and the derivation is easier to understand. It also provides a certain reference for the embedment of the rock constitutive model under compression conditions in numerical software.…”

Section: Introductionmentioning

confidence: 97%

“…Beyond that, Xu et al [ 34 ] also used the damage variable correction factor,

, to establish the damage statistical constitutive model reflecting the residual strength. Feng et al [ 35 ] established the strain-softening damage model of the rocks with defect growth based on damage evolution. Chen et al [ 36 ] built a new statistical damage constitutive model underpinned by the Hoek–Brown strength criterion and damage theory.…”

Section: Introductionmentioning

confidence: 99%

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Fracture Closure Empirical Model and Theoretical Damage Model of Rock under Compression

et al. 2023

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The rock or rock mass in engineering often contains joints, fractures, voids, and other defects, which are the root cause of local or overall failure. In response to most of the current constitutive models that fail to simulate the nonlinear fracture compaction deformation in the whole process of rock failure, especially brittle rocks, a piecewise constitutive model was proposed to represent the global constitutive relation of rocks in this study, which was composed of the fracture compaction empirical model and the damage statistical constitutive model. The fracture empirical compaction model was determined by fitting the expressions of fracture closure curves of various rocks, while the rock damage evolution equation was derived underpinned by the fracture growth. According to the effective stress concept and strain equivalence hypothesis, the rock damage constitutive model was deduced. The model parameters of the fracture compaction empirical model and damage statistical constitutive model were all calculated by the geometrical characteristics of the global axial stress–strain curve to guarantee that the models are continuous and smooth at the curve intersection, which is also simple and ready to program. Finally, the uniaxial compression test data and the triaxial compression test data of different rocks in previous studies were employed to validate the models, and the determination coefficient was used to measure the accuracy. The results showed great consistency between the model curves and test data, especially in the pre-peak stage.

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“…Sun et al [ 30 ] determined the relationship between post-peak softening modulus and confining pressure of granite using nonlinear fitting methods and constructed a strain-softening mechanical model of granite according to the geometric relationship of stress-strain space. Feng et al [ 31 ] developed a strain-softening damage model of the rocks with defect growth based on damage evolution. Wang et al [ 32 ] proposed a new method for the numerical calculation of rock strain-softening processes.…”

Section: Introductionmentioning

confidence: 99%

Analysis and numerical calculation of a coupled creep and strain-softening model for soft rock tunnels

Jianjun

Yao

et al. 2021

PLoS ONE

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Proper mechanical model selection is critical in tunnel support design and stability analysis, especially to reflect the creep and strain-softening behavior of soft rock. We present a coupled nonlinear Burgers strain-softening (NBSS) model and numerical calculation method to investigate the coupled effects of creep and strain-softening of soft rock tunnels. The nonlinear elastic-viscous model is used to simulate the steady creep behavior of mudstone, and the nonlinear viscoplastic strain-softening model is used to simulate the accelerated creep behavior and post-peak strength attenuation behavior. The experimental results show that the viscoplastic parameters and post-peak softening parameters of mudstone are highly sensitive to confining pressure and exhibit nonlinear characteristics. The accelerated creep curve obtained by the numerical calculation is consistent with the experiments, which verifies the model reliability. We use the NBSS and nonlinear Burgers Mohr-Coulomb (NBMC) models to calculate the plastic zone distribution characteristics and deformation law. The distribution of the plastic zone calculated by the NBSS model is larger with more localized fractures. The NBSS model is useful for studying the evolution of stress and displacement fields of complex surrounding rock mass, which provides important theoretical guidelines for the support design and stability analysis of soft rock tunnel engineering.

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Strain-softening composite damage model of rock under thermal environment

Cited by 15 publications

References 47 publications

A semiempirical constitutive relationship for rocks under uniaxial compression considering the initial damage recovery

A semiempirical constitutive relationship for rocks under uniaxial compression considering the initial damage recovery

Fracture Closure Empirical Model and Theoretical Damage Model of Rock under Compression

Analysis and numerical calculation of a coupled creep and strain-softening model for soft rock tunnels

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