A 3D fractional elastoplastic constitutive model for concrete material

Lu, Dechun; Zhou, Xin; Du, Xiuli; Wang, Guosheng

doi:10.1016/j.ijsolstr.2019.02.004

Cited by 94 publications

(19 citation statements)

References 37 publications

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“…For the plastic strain increment, the non-orthogonal plastic flow rule proposed by Lu et al [19,37] is adopted and can be expressed as:…”

Section: Framework Of 3d Non-orthogonal Elastoplastic Model In the Cij Spacementioning

confidence: 99%

Non-orthogonal elastoplastic constitutive model for sand with dilatancy

Liang

et al. 2020

Computers and Geotechnics

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A non-orthogonal elastoplastic constitutive model for the sand with dilatancy is presented in the characteristic stress space. Dilatancy of sand is represented by the direction of plastic flow, which can be directly determined by applying the non-orthogonal plastic flow rule to an improved elliptic yield function. A new hardening parameter is developed to describe the contractive and dilative volume change during the shear process, which is coordinated with the non-orthogonal plastic flow direction. The combination of the non-orthogonal plastic flow rule and the proposed hardening parameter renders the proposed model with the ability to reasonably describe the stress-strain relationship of sand with dilatancy. The model performance is evaluated by comparing with the experimental data of sand under triaxial conditions.

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“…For the plastic strain increment, the non-orthogonal plastic flow rule proposed by Lu et al [19,37] is adopted and can be expressed as:…”

Section: Framework Of 3d Non-orthogonal Elastoplastic Model In the Cij Spacementioning

confidence: 99%

Non-orthogonal elastoplastic constitutive model for sand with dilatancy

Liang

et al. 2020

Computers and Geotechnics

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“…The direction of plastic strain increment is determined by the non-orthogonal plastic flow rule, which is the non-orthogonal gradient of the yield surface. By combining the fractional derivative and the covariant transformation, Lu et al [22,23] proposed a non-orthogonal plastic flow rule in general form, which can be expressed as:…”

Section: Direction Of Plastic Strain Incrementmentioning

confidence: 99%

“…The fractional partial derivative possesses the ability to adjust the non-orthogonal gradient direction of the differentiable function [20,21] . In order to determine the general tensor form of the plastic strain increment based on the commonly used yield function for soil, a general form of non-orthogonal plastic flow rule [22,23] is proposed based on the fractional partial derivative and the covariant transformation. The proposed non-orthogonal plastic flow rule has been applied to establish elastoplasic models for soil [22] and concrete [23] .…”

Section: Introductionmentioning

confidence: 99%

Non-orthogonal elastoplastic constitutive model with the critical state for clay

Liang

Zhou

et al. 2019

Computers and Geotechnics

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A non-orthogonal elastoplastic model for clay is proposed by combining the non-orthogonal plastic flow rule with the critical state concept and presented from the perspective of the magnitude and direction of the plastic strain increment. The magnitude is obtained based on the improved elliptical yield function and the plastic volumetric strain dependent hardening parameter. The direction is determined by applying the non-orthogonal plastic flow rule with the Riemann-Liouville fractional derivative to the yield function without the necessity of additional plastic potential function. The presented approach gives rise to a simple model with five parameters. All parameters have clear physical meaning and can be easily identified by triaxial tests. The model performance is shown by analyzing the evolution process of the yield surface, the hardening rule and the plastic flow direction.The capability of the proposed model to capture the mechanical behaviours of clay with different stiffness is also confirmed by predicting test results from the literature.

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“…However, an additional plastic potential was usually required for unified modelling of the nonassosiated stress-strain behaviour of coarse soils. Recently, a novel approach, the fractional plasticity [14][15][16][17], has been developed for modelling the state-dependent nonassociated behaviour for geomaterials, where no use of the additional plastic potentials was required. However, this approach did not consider the effect of particle breakage on the constitutive behaviour of highly crushable soils.…”

Section: Introductionmentioning

confidence: 99%

Fractional Plasticity Model for Coarse Aggregates Incorporating Particle Breakage under Triaxial Loading

Yang

Sun

2021

Advances in Civil Engineering

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Fractional plasticity has been originally proposed for capturing the state-dependent nonassociated behaviour of sand, with no use of state variables and additional plastic potentials. However, for coarse aggregates, significant particle breakage would occur, which could influence the stress-strain behaviour of the material, by shifting the critical state line in the e − ln p ′ plane. In this note, an extension of the fractional plasticity for constitutive modelling of coarse aggregates is made by incorporating particle breakage under triaxial loading. The developed model is validated by simulating a series of laboratory test results of different coarse aggregates under triaxial loading, where a good agreement between the model simulations and test results is observed.

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A 3D fractional elastoplastic constitutive model for concrete material

Cited by 94 publications

References 37 publications

Non-orthogonal elastoplastic constitutive model for sand with dilatancy

Non-orthogonal elastoplastic constitutive model for sand with dilatancy

Non-orthogonal elastoplastic constitutive model with the critical state for clay

Fractional Plasticity Model for Coarse Aggregates Incorporating Particle Breakage under Triaxial Loading

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