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

Fei, Fan; Choo, Jinhyun

doi:10.1002/nag.3472

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

Journal Article · Thu Dec 15 00:00:00 EST 2022 · International Journal for Numerical and Analytical Methods in Geomechanics

DOI:https://doi.org/10.1002/nag.3472· OSTI ID:1959652

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Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
KAIST, Daejeon (South Korea)

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. Here, 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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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1959652

Report Number(s):: LLNL-JRNL-837388; 1057034

Journal Information:: International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 47, Issue 3; ISSN 0363-9061

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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

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References (40)

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