Damage Micromechanics for Constitutive Relations and Failure of Microcracked Quasi-Brittle Materials

Feng, Xi‐Qiao; Yu, Shou-Wen

doi:10.1177/1056789509359662

Cited by 78 publications

(28 citation statements)

References 87 publications

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“…4 Feng et al established a quasi-micromechanical model and calculated the effects of micro-crack damage on effective elastic moduli. 5 The final fracture mode of rock depends on the development of micro-crack damage; a micro-crack dilatancy model was proposed for tensile fracture under compression for rock material. 6 On the other hand, experiments have been performed to research the rock damage evolution and failure process.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on damage evolution of rock under uniform and concentrated loading conditions using digital image correlation

Song

Zhang

et al. 2013

Fatigue Fract Eng Mat Struct

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Damage evolution and crack propagation in sandstone specimens have been observed by digital image correlation method. To investigate deformation and failure process of rock under different loading conditions, uniaxial compression and indentation tests were performed. Through the experiment, displacement and strain fields are simultaneously obtained that can visually display the distribution, mode and evolution of deformation and cracking in rock. Experimental results show that the damage distributes diffusely in rock at early loading stage, and the measured apparent strain increasingly concentrates with loading because of the nucleation of crack; propagation of the crack leads to the eventual failure of the specimen. Damage factor is calculated on the basis of deviation of apparent strain, and localization factor is presented to describe the level of deformation localization. The combined use of two factors can well represent the damage evolution of rock under compression.

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Section: Introductionmentioning

confidence: 99%

Experimental study on damage evolution of rock under uniform and concentrated loading conditions using digital image correlation

Song

Zhang

et al. 2013

Fatigue Fract Eng Mat Struct

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“…In quasi-brittle polycrystalline materials like crystalline rocks, damage by cracking or by cleavage on some crystallographic weakness planes dominates plastic and viscous deformation [Feng and Yu, 2010, Ju, 1996, Wang et al, 2015, Zeng et al, 2014. Here, we summarize the self-consistent homogenization scheme proposed in [Pouya et al, 2016] to predict the viscous damage and fatigue behavior of halite polycrystals from mono-crystal slip mechanisms.…”

Section: Example: Self-consistent Micro-macro Approach For Modeling Vmentioning

confidence: 99%

Micro-macro mechanics of damage and healing in rocks

Arson¹

2020

Open Geomechanics

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This paper presents the state of the art of the theory of rock damage and healing mechanics, with a particular emphasis on the strategies available to relate the micro-scale of crystals, cracks and pores to the scale of a Representative Elementary Volume (REV). We focus on mechanical degradation and recovery of stiffness and strength. Damage and healing models formulated in the author's group are used as examples to illustrate and compare the reviewed micromacro approaches, which include fabric enrichment, micromechanical formulations and homogenization schemes. This manuscript was written for doctoral students or researchers relatively new to the field of damage mechanics of geomaterials. Equations are provided to explain how to formulate a thermodynamically consistent model from scratch. Reviewing damage and healing modeling strategies led to the following conclusions: (i) The framework of hyperplasticity, which does not require any postulate on the existence or uniqueness of yield functions and which automatically ensures thermodynamic consistency, was never applied to Continuum Damage Mechanics (CDM). There may be an avenue to improve state-of-the-art damage and healing models in a similar framework of "hyperdamage mechanics". (ii) In damage softening models, the mesh dependence of the width of the damage localization zone is currently alleviated by non-local regularization. Perhaps the next step is to couple micro-macro damage and healing models at the REV scale to discrete fracture mechanics at a larger scale to understand how damage and healing localization occurs. (iii) There may be an opportunity to use fabric-enriched models to capture the effect of microstructure organization on both mechanical properties and permeability. (iv) Coupling chemomechanical damage and healing processes across the scales would be useful to model the competition between damagre and healing whenever both can occur at the same temperature and pressure conditions. (v) Many challenges still exist to implement healing models in the Finite Element Method, especially in regards to the mapping of net damage.

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“…Zhou and Zhu [81] derived an elasto-plastic damage formulation model with double yield surfaces based on permanent thermodynamics speculation and damage mechanics approach. Feng and Yu [82] described the methods for characterising progressive damage of micro-cracks and introduced the concept of direction field of micro-crack expansion. Ferrero et al [83] described mathematical assessment of the rock-joint damage evaluated by a photogrammetric review of the discontinuity while the cyclic rock test was undertaken.…”

Section: Review Of the Developed Damage Models In Brittle Materialsmentioning

confidence: 99%

A Novel Damage Model for Strata Layers and Coal Mass

et al. 2020

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Coal burst occurrences are affected by a range of mining and geological factors. Excessive slipping between the strata layers may release a considerable amount of strain energy, which can be destructive. A competent strata is also more vulnerable to riveting a large amount of strain energy. If the stored energy in the rigid roof reaches a certain level, it will be released suddenly which can create a serious dynamic reaction leading to coal burst incidents. In this paper, a new damage model based on the modified thermomechanical continuum constitutive model in coal mass and the contact layers between the rock and coal mass is proposed. The original continuum constitutive model was initially developed for the cemented granular materials. The application of the modified continuum constitutive model is the key aspect to understand the momentum energy between the coal–rock interactions. The transformed energy between the coal mass and different strata layers will be analytically demonstrated as a function of the rock/joint quality interaction conditions. The failure and post failure in the coal mass and coal–rock joint interaction will be classified by the coal mass crushing, coal–rock interaction damage and fragment reorganisation. The outcomes of this paper will help to forecast the possibility of the coal burst occurrence based on the interaction between the coal mass and the strata layers in a coal mine.

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Damage Micromechanics for Constitutive Relations and Failure of Microcracked Quasi-Brittle Materials

Cited by 78 publications

References 87 publications

Experimental study on damage evolution of rock under uniform and concentrated loading conditions using digital image correlation

Experimental study on damage evolution of rock under uniform and concentrated loading conditions using digital image correlation

Micro-macro mechanics of damage and healing in rocks

A Novel Damage Model for Strata Layers and Coal Mass

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