New damage evolution model of rock material

Gao, Wei; Chen, Xin; Hu, Chengjie; Zhou, Cong; Cui, Shuang

doi:10.1016/j.apm.2020.05.002

Cited by 27 publications

(13 citation statements)

References 24 publications

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“…Obviously, through the manipulation of the experimental data from the previous reports, a series of beelines can be obtained as shown in equation (15), where m and x 0 are the slope and the intercept, respectively. e parameter ε 0 can be easily back-calculated based on x 0 .…”

Section: Damage Statistical Constitutive Model Based On Weibullmentioning

confidence: 99%

“…Studies on the de nition of the damage variables have attracted many scholars at home and abroad after being rst proposed by Kachanov [13]. Later, Young's modulus [14,15] was employed as one of the main parameters to de ne the damage variables. With the development of the acoustic emission technique and the relationship between the stress damage of rocks and the characteristics of the acoustic emission [16], the acoustic emission event count is one of the sensitive characteristics that can de ne the damage variable [17].…”

Section: Introductionmentioning

confidence: 99%

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Development of a Model for Initial Compaction Stage in Rock Based on Energy Dissipation

Nie

Cai

et al. 2022

Advances in Materials Science and Engineering

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An accurate model is essential for the numerical simulation of the rock failure occurring under different conditions. However, the expression of the initial compression stage is often overlooked in the widespread constitutive models. In this pursuit, several models considering the initial compression stage were gathered from the previous studies, and a model based on the energy dissipation principle was proposed in the present study. Subsequently, the experimental data of five different types of rock under uniaxial load was collected from the literature to verify the validity of the proposed model, and the performance was compared with the other models. It was found that all the models listed in this study exhibited good performance in expressing the stress-strain curve during the initial compression stage.

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Section: Damage Statistical Constitutive Model Based On Weibullmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Development of a Model for Initial Compaction Stage in Rock Based on Energy Dissipation

Nie

Cai

et al. 2022

Advances in Materials Science and Engineering

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“…By introducing the concept of an instantaneous stable state, in the case of the linear and nonlinear non-equilibrium state, at any moment of any energy dissipation process, the system will take the minimum value of all possible energy dissipation rates under corresponding conditions. This modified energy dissipation principle is the principle of least energy dissipation rate [ 38 , 40 , 41 ]. The general form of the energy dissipation rate Φ is given as [ 41 ]:

where V is the volume of material.…”

Section: Damage Evolutionmentioning

confidence: 99%

“…He et al [ 37 ] introduced the damage function potential and built empirical expressions of the damage variable related to temperature and material property. The latest research is that Gao et al [ 38 ] deduced the damage evolution equation through the energy dissipation rate. Regrettably, the “dissipated energy” in that equation is the so-called effective elastic strain energy but is not the energy associated with unrecoverable strain in the process of rock deformation, and the constitutive evolution equation cannot describe the stress-strain relation after the stress peak.…”

Section: Introductionmentioning

confidence: 99%

Damage Evolution Modelling for Rock Materials Based on the Principle of Least Energy Dissipation Rate within Irreversible Thermodynamics

Wang

2022

Entropy

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The nonlinear mechanical behavior of rock significantly influences the design and construction of underground structures. Due to the complexity and diversity of the damage mechanisms of rock, the damage variable directly defined by partial-damage mechanisms is insufficient in reflecting the progressive-failure process of rock comprehensively. So, in this paper, a novel damage variable is introduced into the plastic-strain rate based on the theoretical framework of irreversible thermodynamics to overcome this defect. The general expression is derived according to the least energy dissipation rate principle. The proposed damage variable can represent the irreversible energy dissipation process and has a strictly theoretical basis in mechanics. Moreover, the granite and marble stress-strain curves are simulated and compared with the Lemaitre damage model, Mazars damage model, and statistical damage model. The results show that the form of the proposed damage variable is practical and straightforward and can better reflect the entire stress-strain relationship of rock. Furthermore, the initial value of the inelastic response strain can be given directly through the proposed damage variable. The model presented here can overcome the issue that the current models need to select the damage threshold indirectly or assume it in advance and ensures that the damage evolution characteristics follow the first principle entirely.

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“…A large number of experiments and numerical simulations were conducted to analysis the hydraulic characteristics of slope (Huang and Jia, 2009;Khanh et al, 2018;Li and Yang, 2019;Liu et al, 2016;Min et al, 2018;Nadi et al, 2019Nadi et al, , 2020Niu et al, 2011;Saada et al, 2012;Sun et al, 2012). In recent years, some scholars have established damage models to characterize the damage characteristics of rock in the process of loading (Gao et al, 2020;Liu et al, 2018;Mousavi et al, 2020;Wang and Xu, 2020;Wu et al, 2020;Ying et al, 2014). However, in their researches, the focus is mostly on the discussion of the model.…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic-damage-seepage coupling model and numerical algorithm for rock slope stability evaluation

Jiang

Yang

et al. 2021

International Journal of Damage Mechanics

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The stability of slope under complex geological conditions is one of the essential issues in geotechnical engineering. The mechanical damage caused by external force load and the hydraulic property of rock have both significant influences on slope stability. However, the two factors and the coupling process between them are not considered in the traditional slope safety calculation method. Firstly, in this paper, an elastoplastic-damage-seepage coupling model is established based on the modified Mohr-Coulomb (M-C) criterion. This model takes into account the weakening effect of damage on the strength of rock mass. Further, according to the Biot's theory and the evolution equation of permeability coefficient, a complete hydraulic-mechanics (HM) coupling model is established. Secondly, the fully implicit backward Euler algorithm and "strict-cornered" algorithm are used to integrate the stress precisely. The complete coupling analysis of HM is implemented by the step-by-step iterative method. By combining the centrifugal loading method (CLM) with the FEM program, the factor of slope safety (FOS) under the coupling influence of damage-seepage can be solved. The calculation results showed that, compared with the traditional rounded M-C model, the results obtained by the "strict-cornered" algorithm method in this paper are closer to the theoretical solution. The solution process is robust with a global second-order convergence rate. After considering the effects of damage and seepage, the FOS is obviously reduced. Finally, the model is applied to the stability evaluation of an actual engineering. The variation rules of pore water pressure, displacement field, damage zone and FOS are calculated under different head heights. The model built in this paper considers the coupling characteristics of rock seepage-stress-damage well. The proposed numerical algorithm ensures the accuracy and rationality of the calculation results which provides a theoretical foundation for engineering application.

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New damage evolution model of rock material

Cited by 27 publications

References 24 publications

Development of a Model for Initial Compaction Stage in Rock Based on Energy Dissipation

Development of a Model for Initial Compaction Stage in Rock Based on Energy Dissipation

Damage Evolution Modelling for Rock Materials Based on the Principle of Least Energy Dissipation Rate within Irreversible Thermodynamics

Elastoplastic-damage-seepage coupling model and numerical algorithm for rock slope stability evaluation

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