Bounding surface modeling of sand with consideration of fabric and its evolution during monotonic shearing

Woo, Sang Inn; Salgado, Rodrigo

doi:10.1016/j.ijsolstr.2015.03.005

Cited by 53 publications

(27 citation statements)

References 33 publications

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“…An inclusion of the fabric descriptor in the anisotropic model is necessary to reflect the influence of the fabric on the dilatancy and hardening of the anisotropically consolidated soils. Similar approaches have been recently applied to the constitutive modeling of sands, as reported by previous studies . In particular, attempts have been made recently by Yang et al to address the dilative‐contractive‐dilative pattern observed in preceding experiments.…”

Section: Model Responses Against the Experimental Datamentioning

confidence: 74%

A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

Chen

Yang

2019

Num Anal Meth Geomechanics

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Summary A bounding surface model is formulated to simulate the behavior of clays that are subject to an anisotropic consolidation stress history. Conventional rotational hardening is revisited from the perspective of thermodynamics. As the free energy cannot be accumulated infinitely upon critical state failure, the deviatoric back stress must vanish. This requires the rotated yield surface to be turned back to eventually align on the hydrostatic axis in the stress plane. Noting that most of the previous propositions violate this restriction, an innovative rotational hardening rule is formulated that is thermodynamically admissible. The bounding surface framework that employs the modified yield surface is applied to simulate elastoplastic deformations for overconsolidated clays, with which the overprediction of strength on the “dry” side can be greatly improved with reasonable results. Other important features, including contractive or dilative response and hardening or softening behavior, can also be well‐captured. It has been shown that the model can simulate three types of reconstituted clays that are sheared with initial conditions over a wide range of anisotropic consolidation stress ratios and overconsolidation ratios under both triaxial undrained and drained conditions. Limitations and potential improvement of the model regarding the fabric anisotropy at critical state have been discussed.

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Section: Model Responses Against the Experimental Datamentioning

confidence: 74%

A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

Chen

Yang

2019

Num Anal Meth Geomechanics

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“…Up until now, constitutive models have been developed based on various concept, including the incremental theory [19], fractal theory [20,21], shear strain and kinematic hardening theories [8,16,22] , and the bounding surface plasticity [7,12,23]. Some of the models [8,14,23] can simulate the real stress strain behaviour but are complex, whereas others [6,12] are relatively simple but cannot take into account the deformation and degradation of granular soils under complicated loading conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Some of the models [8,14,23] can simulate the real stress strain behaviour but are complex, whereas others [6,12] are relatively simple but cannot take into account the deformation and degradation of granular soils under complicated loading conditions. Most importantly, these models [7,16] can only simulate the cyclic behaviour of granular soils for very limited loading cycles, say less than 100 cycles.…”

Section: Introductionmentioning

confidence: 99%

Modelling long-term deformation of granular soils incorporating the concept of fractional calculus

et al. 2015

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Many constitutive models exist to characterise the cyclic behaviour of granular soils but can only simulate deformations for very limited cycles. Fractional derivatives have been regarded as one potential instrument for modelling memory-dependent phenomena. In this paper, the physical connection between the fractional derivative order and the fractal dimension of granular soils is investigated in detail. Then a modified elastoplastic constitutive model is proposed for evaluating the long-term deformation of granular soils under cyclic loading by incorporating the concept of factional calculus. To describe the flow direction of granular soils under cyclic loading, a cyclic flow potential considering particle breakage is used. Test results of several types of granular soils are used to validate the model performance. Abstract Lots of constitutive models exist to characterise the cyclic behaviour of granular soils but can only simulate deformations for very limited cycles. Fractional derivatives have been regarded as one potential instrument for modelling memory-dependent phenomena. In this paper, the physical connection between the fractional derivative order and the fractal dimension of granular soils is investigated in detail. Then a modified elasto-plastic constitutive model is proposed for evaluating the long-term deformation of granular soils under cyclic loading by incorporating the concept of factional calculus. To describe the flow direction of granular soils under cyclic loading, a cyclic flow potential considering particle breakage is used. Test results of several types of granular soils are used to validate the model performance.

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“…The evolution rule in Equation conforms to the concurrent condition of the fabric according to ACST. A similar fabric evolution rule was also used in previous studies . To simulate the “softening”‐type evolution of fabric norm F with shear strain, as observed in dense sand sheared under drained conditions, one may modify the term of F in Equation by linking fabric evolution with the dilatancy of the soils; more details can be found in Yang et al…”

Section: Acst Integrated With a Hypoplastic Modelmentioning

confidence: 99%

“…Although the uniqueness of the critical state line (CSL) has been a subject of debate over many years, it tends to be corroborated by the increasing and consistent evidence from both experimental studies and discrete element method (DEM) simulations . Because of the paramount role of critical state theory in the development of constitutive models, the ACST framework has been adopted to develop various anisotropic models for granular soils …”

Section: Introductionmentioning

confidence: 99%

A hypoplastic model for granular soils incorporating anisotropic critical state theory

Yang

Liao

2020

Num Anal Meth Geomechanics

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Summary It is well known that soil is inherently anisotropic and its mechanical behavior is significantly influenced by its fabric anisotropy. Hypoplasticity is increasingly being accepted in the constitutive modeling for soils, in which many salient features, such as nonlinear stress‐strain relations, dilatancy, and critical state failure, can be described by a single tensorial equation. However, within the framework of hypoplasticity, modeling fabric anisotropy remains challenging, as the fabric and its evolution are often vaguely assumed without a sound basis. This paper presents a hypoplastic constitutive model for granular soils based on the newly developed anisotropic critical state theory, in which the conditions of fabric anisotropy are concurrently satisfied along with the traditional conditions at the critical state. A deviatoric fabric tensor is introduced into the Gudehus‐Bauer hypoplastic model, and a scalar‐valued anisotropic state variable signifying the interplay between the fabric and the stress state is used to characterize its impact on the dilatancy and strength of the soils. In addition, fabric evolution during shearing can explicitly be addressed. Modifications have also been undertaken to improve the performance of the undrained response of the model. The anisotropic hypoplastic model can simulate experimental tests for sand under various combinations of principle stress direction, intermediate principal stress (or mode of shearing), soil densities, and confining pressures, and the associated drastic effect of different principal stress orientations in reference to the material axes of anisotropy can be well captured.

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Bounding surface modeling of sand with consideration of fabric and its evolution during monotonic shearing

Cited by 53 publications

References 33 publications

A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

A bounding surface model for anisotropically overconsolidated clay incorporating thermodynamics admissible rotational hardening rule

Modelling long-term deformation of granular soils incorporating the concept of fractional calculus

A hypoplastic model for granular soils incorporating anisotropic critical state theory

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