An enhanced cutting plane algorithm of elastoplastic constitutive models for geomaterials

Zhao, Lun‐Yang; Liu, Linghui; Lai, Yuanming

doi:10.1016/j.compgeo.2023.105253

Cited by 8 publications

(3 citation statements)

References 46 publications

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“…Stress integration algorithms Borja et al [14] implicit calculation of plastic strain based on return mapping algorithms Borja et al [15] nonlinear elastic equation: secant elastic moduli plastic strains: a fully implicit scheme Hashash et al [16] implicit integration scheme with consistent linearization of the tangent constitutive matrix Sheng et al [17] explicit stress integration with automatic substepping Fan et al [18] implicit integration algorithm combined with automatic time increment method Krabbenhoft et al [19] second-order cone program Liu et al [20] implicit integration algorithm with the standard return mapping approach Li et al [21] modified cutting-plane time integration scheme with adaptive substepping Sanei et al [22] return-mapping in rotated principal stress Zhou et al [23] unconstrained stress updating algorithm using the Fischer-Burmeister smoothing function Zhao et al [24] enhanced cutting plane algorithm based with a new adaptive substepping technique Cui et al [25] nonlocal strain regularization algorithm…”

Section: Literaturementioning

confidence: 99%

“…As observed in table 1, research on the stress integration algorithms of the MCC model has progressed over several decades and remains active. Innovations such as the implicit integration algorithm [14], second-order cone program [19], and enhanced cutting plane algorithm [24] have been introduced to improve the efficiency and accuracy of the stress integration.…”

Section: Literaturementioning

confidence: 99%

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Implementation of modified cam–clay model using closest point projection method under Cartesian coordinate system

Xie,

Ren,

et al. 2024

IOP Conf. Ser.: Earth Environ. Sci.

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The modified Cam–Clay model is an elastoplastic soil model that holds a prominent position in civil engineering for its precise depiction of varied soil behaviors. Despite extensive examination of its numerical processes, the predominant focus on stress integration algorithms within the triaxial stress space presents challenges for individuals less acquainted with geotechnical science. In response to this, the present study derived the stress integration equations for the modified Cam–Clay model within the Cartesian coordinate system employing the closest point projection method. Subsequently, a finite element program was developed incorporating the derived integration process. This study computed and compared the consolidation processes under both drained and undrained conditions for cubic soil samples with various over-consolidation ratios using the developed program, ABAQUS, and analytical formulas. The findings demonstrate that equations integrated within the Cartesian coordinate system offer ease of understanding and programming. The feasibility, accuracy, and stability of the closest point projection method have been validated. Comparative analysis of soil samples across various over-consolidation ratios indicated a reduction in failure stress with an increase in over-consolidation ratio, indicating a higher propensity for failure under undrained conditions than under the drained conditions.

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Section: Literaturementioning

confidence: 99%

Section: Literaturementioning

confidence: 99%

Implementation of modified cam–clay model using closest point projection method under Cartesian coordinate system

Xie,

Ren,

et al. 2024

IOP Conf. Ser.: Earth Environ. Sci.

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show abstract

“…The tests conducted solely under axial loading conditions overlooked the influence of PSR on the stress–strain behavior of sand. As a result, the developed constitutive models 5,6 failed to adequately account for the strain and potential failure, induced by PSR. Instead of the classic tests with axial loading, simple shear tests shown in Figure 1 were also used to study the mechanical behavior of sand 7–9 .…”

Section: Introductionmentioning

confidence: 99%

Modified SANISAND‐F model for simple shear path

Huang,

Sun,

2024

Num Anal Meth Geomechanics

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Simple shear behavior of sand is representative in geotechnical engineering with potential failure occurred along a thin shear zone. The strength and deformation of sand under simple shear are accompanied with principal stress rotation (PSR). This study proposes a modified SANISAND‐F model to capture the simple shear behavior of sand with PSR. A new plastic flow rule along with a kinematic hardening modulus is proposed to consider the evolution of the PSR and intermediate stress ratio. The developed model, with thirteen parameters, can reasonably the capture the stress‐strain and PSR of sand under simple shear.

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Formulation and implementation of an isotropic plasticity model enriched with shift stress and fractional flow rule

Huang,

Sun,

Sumelka

et al. 2024

Acta Geotech.

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An enhanced cutting plane algorithm of elastoplastic constitutive models for geomaterials

Cited by 8 publications

References 46 publications

Implementation of modified cam–clay model using closest point projection method under Cartesian coordinate system

Implementation of modified cam–clay model using closest point projection method under Cartesian coordinate system

Modified SANISAND‐F model for simple shear path

Formulation and implementation of an isotropic plasticity model enriched with shift stress and fractional flow rule

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