Mohr–Coulomb plasticity for sands incorporating density effects without parameter calibration

Choo, Jinhyun

doi:10.1002/nag.2851

Cited by 18 publications

(3 citation statements)

References 78 publications

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“…While the mechanical parameters of Toyura sand under moderate to high confining pressures are well known (e.g. [50,51]), their values under a very low confining pressure -of interest in this work -are not readily available and difficult to measure directly. Therefore, through trial and error, we find that the experimental data can be well simulated by the following values: a Young's modulus of E = 1 MPa, Poisson's ratio of ν = 0.2, and a friction angle of φ = 30 • .…”

Section: Simulation Setupmentioning

confidence: 99%

Hybrid continuum-discrete simulation of granular impact dynamics

Jiang,

Zhao,

Choi

et al. 2021

Preprint

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Granular impact -the dynamic intrusion of solid objects into granular media -is widespread across scientific and engineering applications including geotechnics. Existing approaches for simulating granular impact dynamics have relied on either a pure discrete method or a pure continuum method. Neither of these methods, however, is deemed optimal from the computational perspective. Here, we introduce a hybrid continuum-discrete approach, built on the coupled material-point and discrete-element method (MP-DEM), for simulating granular impact dynamics with unparalleled efficiency. To accommodate highly complex solid-granular interactions, we enhance the existing MP-DEM formulation with three new ingredients: (i) a robust contact algorithm that couples the continuum and discrete parts without any interpenetration under extreme impact loads, (ii) large deformation kinematics employing multiplicative elastoplasticity, and (iii) a trans-phase constitutive relation capturing gasification of granular media. For validation, we also generate experimental data through laboratory measurement of the impact dynamics of solid spheres dropped onto dry sand. Simulation of the experiments shows that the proposed approach can well reproduce granular impact dynamics in terms of impact forces, intrusion depths, and splash patterns. Further, through parameter studies on material properties, model formulations, and numerical schemes, we identify key factors for successful continuum-discrete simulation of granular impact dynamics.

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Section: Simulation Setupmentioning

confidence: 99%

Hybrid continuum-discrete simulation of granular impact dynamics

Jiang,

Zhao,

Choi

et al. 2021

Preprint

Self Cite

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“…It is also noted that the use of an implicit integration algorithm can significantly improve the robustness and accuracy of numerical simulation of rock masses; see, for example, Hashimoto et al 21 in the context of discontinuous deformation analysis. Therefore, an implicit algorithm for the Barton-Bandis model, similar to those developed for a variety of other constitutive models (e.g., [22][23][24][25][26], is highly desired.…”

Section: Introductionmentioning

confidence: 99%

“… 21 in the context of discontinuous deformation analysis. Therefore, an implicit algorithm for the Barton–Bandis model, similar to those developed for a variety of other constitutive models (e.g., 22–26 ), is highly desired.…”

Section: Introductionmentioning

confidence: 99%

Extended Barton–Bandis model for rock joints under cyclic loading: Formulation and implicit algorithm

Fei

Choo

2022

Num Anal Meth Geomechanics

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In this paper, the Barton–Bandis model for rock joints is extended to cyclic loading conditions, without any new material parameter. Also developed herein is an implicit solution algorithm for the extended Barton–Bandis model, which can also be used for the original Barton–Bandis model for which an implicit algorithm has been unavailable. To this end, we first cast the Barton–Bandis model into an incremental elasto‐plastic framework, deriving an expression for the elastic shear stiffness being consistent with the original model formulation. We then extend the model formulation to cyclic loading conditions, incorporating the dependence of shear stress and dilation on the joint position and the shearing direction. The extension is achieved by introducing a few state‐dependent variables which can be calculated with the existing material parameters. For robust and accurate utilization of the model, we also develop an implicit algorithm based on return mapping, which is unconditionally stable and guarantees the satisfaction of the strength criterion. We verify that the proposed model formulation and algorithm produce virtually the same results as the original Barton–Bandis model under monotonic shearing conditions. We then validate the extended Barton–Bandis model against experimental data on natural rock joints under cycling loading conditions. The present work thus enables the Barton–Bandis model, which has been exceptionally popular in research and practice, to be applicable to a wider range of problems in rock mechanics and rock engineering.

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Strength and dilatancy of coral sand in the South China Sea

Wang

et al. 2021

Bull Eng Geol Environ

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Mohr–Coulomb plasticity for sands incorporating density effects without parameter calibration

Cited by 18 publications

References 78 publications

Hybrid continuum-discrete simulation of granular impact dynamics

Hybrid continuum-discrete simulation of granular impact dynamics

Extended Barton–Bandis model for rock joints under cyclic loading: Formulation and implicit algorithm

Strength and dilatancy of coral sand in the South China Sea

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