A study of non-coaxial effects on strain localization via micropolar plasticity model

Chang, Jiangfang; Li, Shaofan; Wang, Wei; Niu, Qinghe

doi:10.1007/s11440-021-01291-w

Cited by 9 publications

(2 citation statements)

References 42 publications

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“…For instance, Lu et al [32] presented a robust and concise implicit stress integration algorithm of elastoplastic models without loading/unloading estimation and analytical derivation operation for the stress update, which improves the computational efficiency. Studies [10,[33][34][35] have introduced the extended Drucker-Prager yield into the Cosserat model, and developed a consistent return mapping algorithm, where the stress update and the corresponding consistent elastoplastic tangent modulus matrix are obtained. The detailed operational process is omitted here.…”

Section: Availability Of Data and Materialsmentioning

confidence: 99%

Finite Element Simulations on Failure Behaviors of Granular Materials with Microstructures Using a Micromechanics-Based Cosserat Elastoplastic Model

Xiu,

Chu

2024

CMES

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This paper presents a micromechanics-based Cosserat continuum model for microstructured granular materials. By utilizing this model, the macroscopic constitutive parameters of granular materials with different microstructures are expressed as sums of microstructural information. The microstructures under consideration can be classified into three categories: a medium-dense microstructure, a dense microstructure consisting of one-sized particles, and a dense microstructure consisting of two-sized particles. Subsequently, the Cosserat elastoplastic model, along with its finite element formulation, is derived using the extended Drucker-Prager yield criteria. To investigate failure behaviors, numerical simulations of granular materials with different microstructures are conducted using the ABAQUS User Element (UEL) interface. It demonstrates the capacity of the proposed model to simulate the phenomena of strain-softening and strain localization. The study investigates the influence of microscopic parameters, including contact stiffness parameters and characteristic length, on the failure behaviors of granular materials with microstructures. Additionally, the study examines the mesh independence of the presented model and establishes its relationship with the characteristic length. A comparison is made between finite element simulations and discrete element simulations for a medium-dense microstructure, revealing a good agreement in results during the elastic stage. Some macroscopic parameters describing plasticity are shown to be partially related to microscopic factors such as confining pressure and size of the representative volume element.

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Section: Availability Of Data and Materialsmentioning

confidence: 99%

Finite Element Simulations on Failure Behaviors of Granular Materials with Microstructures Using a Micromechanics-Based Cosserat Elastoplastic Model

Xiu,

Chu

2024

CMES

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“…It was renamed the micropolar continuum when the micro-inertia was introduced by Eringen [41]. Given the regularization mechanism with the characteristic length, the micropolar continuum was used to model strain localization problems in soils and sands, and the mesh-independent shear band can be reproduced [42]- [46]. The plasticity simulation of the micropolar continuum lies in the shear deformation in the quasi-static region of granular materials.…”

Section: Introductionmentioning

confidence: 99%

Dense Granular Flow Described by Micropolar Fluid and Its Peridynamic Implementation

Wan,

Qu,

Chu

2024

Preprint

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This work presents a nonlocal mesh-free peridynamic model for micropolar fluids that describe fluids enriched with the micro-rotational and length scale effects. The stabilized force state is applied to remedy the zero-energy mode instability in the micropolar viscous term. The present model is validated with the planar Couette flow and Poiseuille flow simulation. Considering the natural inheritance of micro-spinning and microstructures in granular flows, the peridynamic micropolar fluid model is also applied to simulate the dense, dry granular flow with a modified µ(I) rheology flow law. The effects of the coupling number, the micro-inertia, and the characteristic length on the granular µ(I) flow are discussed in a two-dimensional column collapse example. The numerical results of column collapse show that the micropolar coupling number can significantly affect column collapse behavior. A larger coupling number can slow down the translational movement of the granular flow, resulting in a larger angle of repose. The micro-rotational velocity increases by enlarging the coupling number. The micro-inertia and characteristic length have a significant influence on the micro-rotational behavior of the granular flow. Increasing either micro-inertia or characteristic length value decreases the micro-rotational velocity. However, the characteristic length and micro-inertia have an insignificant influence on the translational behavior. Slight differences are observed in the translational velocity distribution or free surface profile.

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Constitutive modeling of three-dimensional non-coaxial characteristics of clay

Shi

Qian

et al. 2021

Acta Geotech.

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A study of non-coaxial effects on strain localization via micropolar plasticity model

Cited by 9 publications

References 42 publications

Finite Element Simulations on Failure Behaviors of Granular Materials with Microstructures Using a Micromechanics-Based Cosserat Elastoplastic Model

Finite Element Simulations on Failure Behaviors of Granular Materials with Microstructures Using a Micromechanics-Based Cosserat Elastoplastic Model

Dense Granular Flow Described by Micropolar Fluid and Its Peridynamic Implementation

Constitutive modeling of three-dimensional non-coaxial characteristics of clay

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