Computational implementation of bounding surface model and its verification through cavity benchmark problems

Chen, Shengli; Abousleiman, Younane N.; Muraleetharan, Kanthasamy K.

doi:10.1002/nag.3311

Cited by 4 publications

(2 citation statements)

References 26 publications

(57 reference statements)

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“…for other excavation problems such as wellbore drilling (Chen and Abousleiman 2016;Chen and Abousleiman 2017;Chen S et al 2022). Then the internal support pressure gradually reduces from h0…”

Section:  mentioning

confidence: 99%

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

Zhang,

Sun,

Zhuang

et al. 2024

Géotechnique Letters

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This letter develops an elastoplastic solution for cylindrical cavity contraction in unsaturated soils under constant suction conditions. The elastoplastic cavity contraction problem is formulated into a set of first-order ordinary differential equations (ODEs) by introducing a new auxiliary variable, which is solved as an initial value problem. The new solution is validated by comparison with numerical simulation results. Finally, parametric studies show that, as soil suction increases, the internal support pressure decreases faster with cavity contraction, the unloading-induced plastic zone becomes narrower, and the changes in effective stresses are smaller for a given tunnel convergence.

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Section:  mentioning

confidence: 99%

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

Zhang,

Sun,

Zhuang

et al. 2024

Géotechnique Letters

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“…Kossa and Szabó [27] proposed a novel precise stress integration strategy based on the combined linear hardening von Mises elastoplastic model, which is implemented in ABAQUS through its UMAT material interface. Some researchers [28][29][30][31][32] have also used the UMAT material interface in ABAQUS to numerically implement the existing model.…”

Section: Introductionmentioning

confidence: 99%

A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials

Tian

Zheng

2023

Applied Sciences

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The Mohr-Coulomb (M-C) failure criterion has been a popular choice for geotechnical analysis because of its simplicity and ease of use. The fact that the M-C criterion disregards the intermediate principal stress’s impact is a significant drawback. As a result, the M-C criterion is only applied to materials under biaxial stress. This paper presents a three-dimensional version of the M-C criterion. The proposed criterion, called the Generalized Mohr-Coulomb (GMC) criterion, considers the intermediate principal stress’s effect, in addition to inheriting the original M-C criterion’s benefits. We obtained the conditions that the strength parameters must satisfy when the GMC criterion fulfills the π plane’s convexity. The GMC criterion can better describe geotechnical materials’ strengths under general stress conditions. Based on an implicit algorithm, the user material subroutine (UMAT) of the three-dimensional GMC model was developed in ABAQUS using the Fortran programming language. The established elastoplastic model’s validity and the program’s accuracy were examined using numerical simulation. Finally, a numerical simulation of a three-dimensional tunnel excavation under various working conditions was performed. The calculation results from the GMC model are precise and have some engineering-related practical significance.

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A hybrid Eulerian–Lagrangian approach for non-self-similar expansion analysis of a cylindrical cavity in saturated and unsaturated critical state soils

Yang,

Zhuang,

Zhang

et al. 2024

Acta Geotech.

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This paper proposes a powerful hybrid Eulerian–Lagrangian (HEL) approach for the analysis of cavity expansion problems. The new approach is applied to analysing the non-self-similar expansion process of a hollow cylinder of critical state soils, considering arbitrary saturation states of soils and both drained and undrained conditions. A closed-form solution for the stresses and displacements in the elastic zone is presented, taking the state-dependent soil moduli and outer boundary effect of the soil cylinder into account. Adopting large strain theory in the plastic zone, the non-self-similar cavity expansion process is formulated into a set of partial differential equations in terms of both Eulerian and Lagrangian descriptions, which is solved by a newly proposed algorithm. The HEL approach is compared with the conventional Eulerian and Lagrangian approaches for the cavity expansion analyses. It is found that the new approach can reduce to the Eulerian approach when the self-similar assumption is satisfied and to the Lagrangian approach when stress–total strain relationships are obtained analytically. Finally, the expansion process is proven to be non-self-similar by showing the stress and deformation paths, and the finite thickness of soil cylinders may greatly influence the cavity expansion behaviour, especially with a small thickness ratio. The HEL approach can provide useful tools for validating advanced numerical techniques for both saturated and unsaturated soils and interpreting pressuremeter tests in small-size calibration chambers.

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Computational implementation of bounding surface model and its verification through cavity benchmark problems

Cited by 4 publications

References 26 publications

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials

A hybrid Eulerian–Lagrangian approach for non-self-similar expansion analysis of a cylindrical cavity in saturated and unsaturated critical state soils

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