An elastoplastic coupling mechanical model for hard and brittle marble with consideration of the first stress invariant effect

Yang, Fanjie; Zhou, Hui; Zhang, Chuanqing; Hu, Dawei; Lu, Jingjing; Meng, Fanzhen

doi:10.1080/19648189.2016.1197160

Cited by 10 publications

(9 citation statements)

References 23 publications

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“…Therefore, it is necessary to modify the internal variable in conventional plastic mechanics to reflect the effects of the stress state. Zhou and Yang both used a representation of a plastic internal variable that considers the confining pressure, as shown in Equation ().

κ = \int d κ, d κ = \sqrt{\frac{2}{3} d e^{p} : d e^{p}} true/ f (P_{c} / σ_{c})

where

d e^{p}

is the plastic deviatoric strain tensor and is defined as (

d e^{p} = d ε^{p} - tr (d ε^{p}) I / 3

d ε^{p}

is the plastic strain tensor,

\sqrt{\frac{2}{3} d e^{p} : d e^{p}}

is the equivalent plastic shear strain increment, which is denoted by dγ p , f ( P c / σ c ) is a function of the confining pressure P c , and a uniaxial compressive strength σ c is introduced for nondimensionalization.…”

Section: Improved Mechanical Model For Layered Rocks Incorporating Vomentioning

confidence: 99%

“…The values of ψ corresponding to various confining pressures are successively calculated using the same method as that used for calculating the strength parameters. A negative value for ψ might be obtained, and when this result occurs, ψ is set to 0 . In addition, due to the presence of an abnormal postpeak volumetric strain under a confining pressure of 20 MPa, the evolution of ψ with the internal variable is of no reference value.…”

Section: Improved Mechanical Model For Layered Rocks Incorporating Vomentioning

confidence: 99%

“…Therefore, it is necessary to modify the internal variable in conventional plastic mechanics to reflect the effects of the stress state. Zhou and Yang 28,29 both used a representation of a plastic internal variable that considers the confining pressure, as shown in Equation (1).…”

Section: Definition Of the Plastic Internal Variablementioning

confidence: 99%

“…A negative value for ψ might be obtained, and when this result occurs, ψ is set to 0. 29 In addition, due to the presence of an abnormal postpeak volumetric strain under a confining pressure of 20 MPa, the evolution of ψ with the internal variable is of no reference value. Therefore, only the calculation results for the other three confining pressures are shown in Figure 3.…”

Section: Flow Rulementioning

confidence: 99%

“…The orthogonal flow rule does not always hold, so the nonassociated flow rule is adopted in this article to study the dilatancy angle. Referring to some scholars' research, the dilatancy angle is used to replace the internal friction angle in the Mohr‐Coulomb criterion to compute the dilatancy angle of matrix and bedding plane, respectively. Then, the change rule of the dilatancy angle with plastic internal variable is analyzed and compared with the corresponding internal friction angle to clarify the rationality of nonassociated flow rule.…”

Section: Improved Mechanical Model For Layered Rocks Incorporating Vomentioning

confidence: 99%

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Anisotropic modeling of layered rocks incorporating planes of weakness and volumetric stress

Tan

Zhou

et al. 2019

Energy Science & Engineering

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Layered rocks exhibit notable transverse isotropy and have a significant impact on the deformation and failure characteristics of underground structures. To a large extent, the mechanical properties of layered rocks are related to the structure and stress state of their bedding planes. To obtain an in‐depth understanding of the deformation and yield characteristics of layered rocks, a mechanical model for layered rocks incorporating planes of weakness and volumetric stress is proposed by improving the strain‐hardening/softening ubiquitous‐joint model based on continuum mechanics methods. In this mechanical model, elastoplastic equations for the matrix and bedding planes of layered rocks are established. The evolution of the mechanical parameters of the matrix and bedding planes of layered rocks with the internal variable is determined. In addition, the sensitivity of the model parameters is analyzed, and a method for determining the parameters is provided to reduce the complexity in obtaining these parameters. The numerical calculation results for the laboratory tests on layered sandstone specimens under various stress levels agree relatively well with the test results, thereby validating the effectiveness of the improved model. The methods and results of this study provide a significant reference for the analysis of the deformation and failure of other layered rocks.

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κ = \int d κ, d κ = \sqrt{\frac{2}{3} d e^{p} : d e^{p}} true/ f (P_{c} / σ_{c})

where

d e^{p}

is the plastic deviatoric strain tensor and is defined as (

d e^{p} = d ε^{p} - tr (d ε^{p}) I / 3

d ε^{p}

is the plastic strain tensor,

\sqrt{\frac{2}{3} d e^{p} : d e^{p}}

Section: Improved Mechanical Model For Layered Rocks Incorporating Vomentioning

confidence: 99%

Section: Improved Mechanical Model For Layered Rocks Incorporating Vomentioning

confidence: 99%

Section: Definition Of the Plastic Internal Variablementioning

confidence: 99%

Section: Flow Rulementioning

confidence: 99%

Section: Improved Mechanical Model For Layered Rocks Incorporating Vomentioning

confidence: 99%

See 3 more Smart Citations

Anisotropic modeling of layered rocks incorporating planes of weakness and volumetric stress

Tan

Zhou

et al. 2019

Energy Science & Engineering

Self Cite

View full text Add to dashboard Cite

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Elastoplastic augmented virtual internal bond modeling for rock: A fracture‐plasticity combined constitutive model

Wei

Zhao

Cheng

et al. 2023

Num Anal Meth Geomechanics

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In the ultra-deep reservoir or other deep-buried subsurface engineering, the in situ stress is high enough to make the rock transition from the brittle to the plastic. In such situation, the fracturing process always goes with the plastic deformation together. Therefore, to develop an elastoplastic constitutive model which can simultaneously account for both fracture and plastic deformation is critically important. In this paper, an elastoplastic augmented virtual internal bond (EP-AVIB) model is developed. In EP-AVIB, a hyperelastic AVIB is developed to characterize the elastic deformation of rock, in which the micro bond is linear elastic in compression whereas is hyperelastic in tension. The Drucker-Prager yield criterion is employed to characterize the plastic deformation. Thus, the EP-AVIB can combine the fracture and plastic deformation together. The simulation examples show that the EP-AVIB can simulate the elastoplastic mechanical behaviors and the fracturing process of rock subjected to compression. It provides a simple approach to the elastoplastic failure simulation of rock. Its perspective in deep reservoir and deep-buried subsurface engineering simulation should be inspiring.

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Evolution models of the strength parameters and shear dilation angle of rocks considering the plastic internal variable defined by a confining pressure function

Jin

Cheng-xue

Shang

2021

Bull Eng Geol Environ

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An elastoplastic coupling mechanical model for hard and brittle marble with consideration of the first stress invariant effect

Cited by 10 publications

References 23 publications

Anisotropic modeling of layered rocks incorporating planes of weakness and volumetric stress

Anisotropic modeling of layered rocks incorporating planes of weakness and volumetric stress

Elastoplastic augmented virtual internal bond modeling for rock: A fracture‐plasticity combined constitutive model

Evolution models of the strength parameters and shear dilation angle of rocks considering the plastic internal variable defined by a confining pressure function

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