Failure Criteria for Isotropic Rocks Using a Smooth Approximation of Modified Mohr–Coulomb Failure Function

Singh, Aditya; Ayothiraman, Ramanathan; Rao, K. Ramachandra

doi:10.1007/s10706-020-01287-5

Cited by 10 publications

(2 citation statements)

References 39 publications

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“…Shen et al 43 deduced the relation of cohesion and internal friction angle in terms of normal stress to show the nonlinearity of Mohr–Coulomb criterion. From the view of the deviatoric function modification, Singh and Ayothiraman 44 proposed three nonlinear Mohr–Coulomb criteria. Beyond that, some scholars have also combined other criteria with the classical Mohr–Coulomb criterion to reflect the nonlinear behavior of rocks.…”

Section: Introductionmentioning

confidence: 99%

Modified Mohr–Coulomb criterion for nonlinear strength characteristics of rocks

Xie,

Lin,

Chen

et al. 2024

Fatigue Fract Eng Mat Struct

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The classical Mohr–Coulomb criterion has an extremely wide range of applications in the field of engineering geology, while it cannot accurately characterize rock failure under high confining stresses. Therefore, a nonlinear modification is implemented based on the Mohr–Coulomb criterion for achieving wider usage in all stress environments. The cohesion and internal friction angle are firstly calculated by regression based on the triaxial experiments of diorite and other typical rocks in different confining stress ranges, and the variation modes of cohesion and internal friction angle are then formalized and integrated into the classical Mohr–Coulomb criterion. Using the experimental results of 435 triaxial compression tests in existing publications, the predictions of the modified criterion are compared with those of the previous nonlinear criteria, which show that the predicted values of the modified criterion are in good agreement with the measured strength. Compared with the previous nonlinear criteria, the modified criterion has a wider application range and always maintains a higher accuracy.

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Section: Introductionmentioning

confidence: 99%

Modified Mohr–Coulomb criterion for nonlinear strength characteristics of rocks

Xie,

Lin,

Chen

et al. 2024

Fatigue Fract Eng Mat Struct

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“…At a fundamental level, the determination of the precise mechanism at the origin of solid failure -be it via elasto-plastic models [1][2][3][4][5][6], statistical methods inspired from glassy physics [7,8], or modified elasticity theories [9][10][11][12][13][14][15] -as well the still debated relationship between the brittle and ductile modes of failure [16][17][18][19][20][21][22][23][24][25][26][27] are very active fields of research. But this topic is also ubiquitous in applied physics and engineering for the study of failure of rocks, soils, and other geomaterials [28][29][30][31][32][33][34][35], concrete [36][37][38][39], or cellular materials [40]. A particularly successful approach consists in determining the yield surface of the solid, a curve that allows to determine whether a solid in a given state of stress will yield.…”

Section: Introductionmentioning

confidence: 99%

Dynamical yield criterion for granular matter from first principles

Coquand¹,

Sperl²

2021

Preprint

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We investigate, using a recently developed model of liquid state theory describing the rheology of dense granular flows, how a yield stress appears in granular matter at the yielding transition. Our model allows us to predict an analytical equation of the corresponding dynamical yield surface, which is compared to usual models of solid fracture. In particular, this yield surface interpolates between the typical failure behaviors of soft and hard materials. This work also underlines the central role played by the effective friction coefficient at the yielding transition.

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