Compressive-shear fracture model of the phase-field method coupled with a modified Hoek–Brown criterion

Jia, Z. H.; Zhou, Xiaoping; Berto, Filippo

doi:10.1007/s10704-021-00546-7

Cited by 14 publications

(2 citation statements)

References 46 publications

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“…proposed a cracking driving energy formulated by the over shear force based on the Mohr‐Coulomb strength criterion. Similarly, Jia et al 25 . proposed an over‐shear formulation for cracking driving energy based on the Hoek‐Brown strength criterion.…”

Section: Introductionmentioning

confidence: 99%

“…To consider the effect of cohesion and internal friction angle on rock strength and inspired by the macroscopic Mohr-Coulomb strength criterion, Zhou et al 23 and Xu et al 24 proposed a cracking driving energy formulated by the over shear force based on the Mohr-Coulomb strength criterion. Similarly, Jia et al 25 proposed an over-shear formulation for cracking driving energy based on the Hoek-Brown strength criterion.…”

Section: Introductionmentioning

confidence: 99%

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A phase‐field formulation based on an extended F‐criterion for rock fracture

Sun,

Lu,

Wang

et al. 2023

Num Anal Meth Geomechanics

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In this paper a phase‐field formulation based on an extended F‐criterion (the normalized strain energy release rate criterion) is proposed to simulate tensile‐compressive‐shear rock fractures. By applying the F‐criterion, the phase‐field crack‐driving energy decomposition is determined by a direction search which maximizes the local fracture dissipation. In compressive‐shear states, the computation is supplemented by an explicitly expressed confinement‐dependent mode‐II fracture energy release rate, and the cracking angle is determined by both the fracture energy and strain states. The hybrid formulation and alternate minimization algorithm are adopted for the numerical examples in this paper. Fractures for rock and rock‐like specimens subjected to compression demonstrate the ability of the present model in capturing tensile‐compressive‐shear rock fracture behaviors.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A phase‐field formulation based on an extended F‐criterion for rock fracture

Sun,

Lu,

Wang

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

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A Stress‐Driven Double‐Phase–Field Framework for Tensile Fracturing Processes in Transversely Isotropic Rocks

Yuan,

Zhao,

Zhang

2024

Num Anal Meth Geomechanics

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We present a double‐phase–field framework for tensile fracturing processes in transversely isotropic rocks. Two distinct phase‐field variables are introduced to represent smeared approximations of tensile fractures along the weak bedding planes and through the anisotropic rock matrix, respectively. Driving forces that control fracture propagation in the phase‐field framework are constructed as a stress‐based formula with a recently developed tensile failure criterion that distinguishes the two failure modes in transversely isotropic rocks. For numerical implementation, we adopt a staggered integration scheme and decouple the governing equations so that the displacement field and phase‐field variables can be updated in sequence for a given loading step. The finite element formulation of the proposed framework is introduced in detail in this paper and is implemented in an in‐house finite element code. The numerical implementation is then validated by reproducing the uniaxial tension test results of Lyons sandstone. After that, we conduct simulations on a pre‐notched square plate loaded in tension to demonstrate the features of the proposed framework. Finally, we conduct simulations of three‐point bending tests of Pengshui shale and show that the proposed model can reproduce the force–displacement curves and failure patterns of specimens with different bedding plane orientations observed in laboratory experiments.

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Phase-field Modeling of Brittle Failure in Rockslides

Wang,

Soranzo

et al. 2024

Springer Series in Geomechanics and Geoengineering

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Compressive-shear fracture model of the phase-field method coupled with a modified Hoek–Brown criterion

Cited by 14 publications

References 46 publications

A phase‐field formulation based on an extended F‐criterion for rock fracture

A phase‐field formulation based on an extended F‐criterion for rock fracture

A Stress‐Driven Double‐Phase–Field Framework for Tensile Fracturing Processes in Transversely Isotropic Rocks

Phase-field Modeling of Brittle Failure in Rockslides

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