An elastoplastic damage model for fractured porous media

Ma, Jianjun; Zhao, Gao‐Feng; Khalili, Nasser

doi:10.1016/j.mechmat.2016.06.006

Cited by 25 publications

(25 citation statements)

References 27 publications

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“…The framework solves fully coupled nonlinear partial differential equations for pressures, deformation and damage evolutions. We have shown that it is possible to combine Simo and Pister's (Simo and Pister, 1984) fracture methodology with Ma et al's (Ma et al, 2016). Ma et al's (Ma et al, 2016) double permeability model to produce a simple yet effective hydraulic fracture prediction tool, neither methodology interfering with the other coupled such that the model can replicate mutual interaction between fluid and porous domains and all associated behaviours within an elastic scenario.…”

Section: Discussionmentioning

confidence: 99%

A Fully Coupled Computational Framework for Fluid Pressurized Crack Evolution in Porous Media

et al. 2019

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This paper presents a computational framework for modelling hydraulic fracture on the basis of combining continuum porous media and damage theories. By considering the continuum as two separate domains of damaged and intact porous domains, model components are isolated and considered separately. This simplifies the whole modelling approach. The mathematical model used consists of a set of coupled partial differential equations in continuum space that govern compressible flow in damaged and intact porous media, mechanical deformation of the domains and damage evolution. We particularly focus on the flow of fluid within the intact and damaged porous zones. The porous domain typically has a lower permeability than the fractured zone, therefore a more complicated flow of fluid is expected within the damage zone. To model the exchange of fluid in the interface of damage zone and intact porous domain, a double permeability concept has been utilized. The evolution of cracks is modelled using Francfort and Marigo's variational theory which approximates the fracture by a diffusive damage zone using a phase field variable. The governing model equations are discretised and solved using finite element method. The framework capabilities are verified using experimental data from a one-dimensional consolidation test and a plane stress pressured penny crack benchmark example. The framework performance highlights its capabilities in analysing hydraulic driven fracture process and the associated permeability variations.

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Section: Discussionmentioning

confidence: 99%

A Fully Coupled Computational Framework for Fluid Pressurized Crack Evolution in Porous Media

et al. 2019

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“…As the strain caused by damage does not contribute to the nominal stress, the constitutive equation of the welded bimrocks in any damage state should be as follows [38,39]:…”

Section: Damage Constitutive Modelmentioning

confidence: 99%

“…To obtain the damage evolution equation, it is necessary to establish the internal relation between the total strain and damage. Considering an arbitrary element of the bimrocks, the relation can be obtained according to the law of energy conservation [37][38][39], as follows:…”

Section: Damage Constitutive Modelmentioning

confidence: 99%

Predicting the Mechanical Properties of Bimrocks with High Rock Block Proportions Based on Resonance Testing Technology and Damage Theory

et al. 2019

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Block-in-matrix-rocks (bimrocks) are very complicated geological masses that cause many challenging problems during the design and construction of engineering projects, such as parameter determination and landsliding. Successful engineering design and construction depends on a suitable constitutive model and reliable design parameters for geological masses. In this paper, the vibration attenuation signal of welded bimrocks was obtained and studied using resonance test technology. Combined with a uniaxial compression test, a constitutive model was proposed to describe the mechanical behavior of welded bimrocks. On this basis, the relations between the dynamic elastic modulus and the physical parameters of bimrocks were established, which included macroscopic mechanical parameters and damage constitutive parameters. Consequently, a new technological process was proposed to provide quick identification of the mechanical properties of welded bimrocks. The results indicate that the dynamic elastic modulus is highly correlated with the rock block proportion (RBP) and uniaxial compression strength (UCS). It is an effective parameter to predict the strength of the bimrocks with high RBPs. Additionally, the proposed constitutive model, which is based on damage theory, can accurately simulate the strain softening behavior of the bimrocks. Combining the resonant frequency technology and the proposed constitutive model, the complete stress strain curve can be obtained in a rapid and accurate manner, which provides a further guarantee of the stability and safety of underground engineering.

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“…derived a cavity expansion solution for rock medium, to evaluate bear capacity of piles in rocks based on generalized Hoek‐Brown criteria. Unlike soils or sands, the behavior of rocks under loading is significantly affected by damage evolution, e.g., the development of microcracks, pore collapse and degradation of rock strength 37–49 . These defects normally have been treated as damage, and could be modeled by a damage scalar for isotropic conditions or a tensor for anisotropic conditions 37,43–44,50–58 .…”

Section: Introductionmentioning

confidence: 99%

Spherical cavity expansion in porous rock considering plasticity and damage

Huang¹,

Liang²,

et al. 2021

Num Anal Meth Geomechanics

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In rock engineering, damage evolution upon loading imposes significant impacts on the stiffness of rock mass and its deformation characteristics. In order to investigate the influence of both damage and plasticity on cavity expansion, a plastic damage solution is derived for undrained spherical cavity expansion in rock medium. For the consideration of plasticity‐damage, Modified Cam‐Clay (MCC) model is selected as the plasticity driver, a damage evolution criterion is adopted and coupled with MCC. The coupled damage MCC model is validated against experimental data in the literature. The proposed cavity expansion solution with the consideration of plasticity damage is verified through a classic solution in literature. The role of damage in undrained spherical cavity expansion is investigated by studying the spatial variations of effective stress, pore pressure and damage for cases with different stress ratios. Distribution of cavity expansion induced plastic and damage zones for cases with different stress ratios are also reproduced and discussed. Cavity expansion results show that, the damage zone should be considered for engineering application as the plastic zone is affected due to the damage evolution. In addition, the stability (e.g., radial stress) of rock mass is overestimated in classical solution without the consideration of damage zone.

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An elastoplastic damage model for fractured porous media

Cited by 25 publications

References 27 publications

A Fully Coupled Computational Framework for Fluid Pressurized Crack Evolution in Porous Media

A Fully Coupled Computational Framework for Fluid Pressurized Crack Evolution in Porous Media

Predicting the Mechanical Properties of Bimrocks with High Rock Block Proportions Based on Resonance Testing Technology and Damage Theory

Spherical cavity expansion in porous rock considering plasticity and damage

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