A continuum damage model for simulation of the progressive failure of brittle rocks

Singh, Umed; Digby, P. J.

doi:10.1016/0020-7683(89)90031-0

Cited by 37 publications

(8 citation statements)

References 11 publications

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“…Therefore, the method of mean CT value was used to investigate the damage evolution of the CWRTB sample. If the effects of the CT value on the damage variable are taken into account [32,35], the expression can be rewritten according to the studies of Singh and Digby [41] and Lemaitre and Chaboche [42]:…”

Section: Meso-damage Evolution Analysismentioning

confidence: 99%

In Situ X-Ray CT Investigations of Meso-Damage Evolution of Cemented Waste Rock-Tailings Backfill (CWRTB) during Triaxial Deformation

Wang

Zhou

et al. 2019

Minerals

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This work presents an experimental study that focused on the meso-damage evolution of cemented waste rock-tailing backfill (CWRTB) under triaxial compression using the in situ X-ray computed tomography (CT) technique. Although numerous investigations have studied the magnitude of the strength of CWRTB material, the mesoscopic damage evolution mechanisms under triaxial deformation are still poorly understood. Artificial CWRTB samples with a waste rock proportion of 30% were prepared by mixing tailings, waste rock, cement, and water. A specific self-developed loading device was used to match the CT machine to real-time CT scanning for the CWRTB sample. A series of 2D CT images were obtained by performing CT imaging at five key points throughout the test and from three positions in the sample. The CT values, for the purpose of meso-damage evolution in CWRTB, were identified. The results showed that the axial stress–strain curve presented strain hardening characteristics. The CT data revealed the inhomogeneous damage field inside the CWRTB sample and the most severely damaged regions that were usually located at the waste block-tailings paste interfaces. The changes in CT values for the different regions of interest (ROI) revealed the complicated interactions between the waste blocks and the tailings paste matrix. The meso-structural changes, formation of the localized bands, and the associated stress dilatancy phenomenon were strongly influenced by the interactions between the waste blocks and tailing paste.

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Section: Meso-damage Evolution Analysismentioning

confidence: 99%

In Situ X-Ray CT Investigations of Meso-Damage Evolution of Cemented Waste Rock-Tailings Backfill (CWRTB) during Triaxial Deformation

Wang

Zhou

et al. 2019

Minerals

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“…The index of the mean CT value is an important parameter commonly used to define the damage factor. According to the studies of Singh and Digby [42] and Lemaitre and Chaboche [43], if the effects of the CT value on the damage variable are taken into account [44,45], the expression can be rewritten as:…”

Section: Damage Evolution Model For Cwrbmentioning

confidence: 99%

In Vivo X-ray Computed Tomography Investigations of Crack Damage Evolution of Cemented Waste Rock Backfills (CWRB) under Uniaxial Deformation

Wang

Hou

et al. 2018

Minerals

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Cemented waste rock backfill (CWRB), which is a mixture of tailings, waste rock, cement, and water, is subjected to combination actions in underground mining operations and has been widely used in deep resource mining. While the strength requirement and macroscopic deformation behaviors of CWRB have been well studied, the mesoscopic damage evolution mechanisms are still not well understood. In this work, a CWRB sample with a waste rock proportion of 30% was studied with a uniaxial compression test under tomographic monitoring, using a 450 kV industrial X-ray computed tomography (CT). Clear CT images, CT value analysis, crack identification, and extraction reveal that CWRB damage evolution is extremely inhomogeneous and affected by the waste rock size, shape, and distribution. Furthermore, the crack initiation, propagation, and coalescence behaviors are limited to the existing waste rocks. When deformation grows to a certain extent, the cracks demonstrate an interlocking phenomenon and their propagation paths are affected by the waste rocks, which may improve the ability to resist compressive deformation. Volumetric dilatancy caused by the damage and cracking behavior has closed a link with the meso-structural changes, which are controlled by the interactions between the waste rocks and the cemented tailing paste.

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“…(1) Constitutive model of reinforcement The constitutive model of the reinforcement is assumed to be given by an elasto-plastic model with a linear elastic stiffness by D= paEa00 0pyEy0 000 (2) in which px and py are the reinforcement ratios and EY and Ey, are the Young's modulus of the reinforcement in the X and Y directions respectively. The shear stiffness of the reinforcement is assumed to be equal to zero.…”

Section: Constitutive Equation For Reinforsed Concrete Elementmentioning

confidence: 99%

Analysis of Rc Panels and Post-Peak Behavior Using Unified Plastic Model

Salamy¹,

Tanabe

2001

Doboku Gakkai Ronbunshu

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In this paper, a unified plastic model for concrete, in which only one criterion is considered to describe the behavior of concrete under different stress states, is used. This model can treat a major nonlinear phenomenon of concrete such as cracking; shear transfer degradation, tension stiffening and compressive strength reduction. The objective of this paper is to follow mentioned method together with presented formulation based on complementary matrix to analyze localized failure of RC panels as well as postpeak behavior while shear band is formed. This phenomenon occurs when the material acoustic tensor A(n) looses its positive definiteness and usually takes place when RC element fails in shear.

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A continuum damage model for simulation of the progressive failure of brittle rocks

Cited by 37 publications

References 11 publications

In Situ X-Ray CT Investigations of Meso-Damage Evolution of Cemented Waste Rock-Tailings Backfill (CWRTB) during Triaxial Deformation

In Situ X-Ray CT Investigations of Meso-Damage Evolution of Cemented Waste Rock-Tailings Backfill (CWRTB) during Triaxial Deformation

In Vivo X-ray Computed Tomography Investigations of Crack Damage Evolution of Cemented Waste Rock Backfills (CWRB) under Uniaxial Deformation

Analysis of Rc Panels and Post-Peak Behavior Using Unified Plastic Model

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