A SPH approach for large deformation analysis with hypoplastic constitutive model

Peng, Chong; Wu, Wei; Yu, Hai‐Sui; Wang, Chun

doi:10.1007/s11440-015-0399-3

Cited by 112 publications

(61 citation statements)

References 52 publications

(91 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is our intention to implement this model in some numerical codes for large deformation, such as SPH and computational fluid dynamics (CFD) codes, to simulate granularfluid flows in an inclined channel or a rotating drum. As mentioned before, a hypoplastic model developed by Wang and Wu [39] has been implemented in SPH for large deformation analysis [29]. Therefore, SPH will be the preferred choice for further verification of the new model.…”

Section: Discussionmentioning

confidence: 99%

A hypoplastic constitutive model for debris materials

Guo¹,

Peng²,

Wu³

et al. 2016

Acta Geotech.

Self Cite

View full text Add to dashboard Cite

Debris flow is a very common and destructive natural hazard in mountainous regions. Pore water pressure is the major triggering factor in the initiation of debris flow. Excessive pore water pressure is also observed during the runout and deposition of debris flow. Debris materials are normally treated as solid particle-viscous fluid mixture in the constitutive modeling. A suitable constitutive model which can capture the solid-like and fluid-like behavior of solid-fluid mixture should have the capability to describe the developing of pore water pressure (or effective stresses) in the initiation stage and determine the residual effective stresses exactly. In this paper, a constitutive model of debris materials is developed based on a framework where a static portion for the frictional behavior and a dynamic portion for the viscous behavior are combined. The frictional behavior is described by a hypoplastic model with critical state for granular materials. The model performance is demonstrated by simulating undrained simple shear tests of saturated sand, which are particularly relevant for the initiation of debris flows. The partial and full liquefaction of saturated granular material under undrained condition is reproduced by the hypoplastic model. The viscous behavior is described by the tensor form of a modified Bagnold's theory for solid-fluid suspension, in which the drag force of the interstitial fluid and the particle collisions are considered. The complete model by combining the static and dynamic parts is used to simulate two annular shear tests. The predicted residual strength in the quasi-static stage combined with the stresses in the flowing stage agrees well with the experimental data. The non-quadratic dependence between the stresses and the shear rate in the slow shear stage for the relatively dense specimens is captured.

show abstract

Section: Discussionmentioning

confidence: 99%

A hypoplastic constitutive model for debris materials

Guo¹,

Peng²,

Wu³

et al. 2016

Acta Geotech.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Here the safety factor and failure of a homogeneous slope are studied using different integration methods, i.e. the implicit CN method, the FE method, the adaptive RKF23 method and each of these [20]. The geometry and boundary conditions of the considered slope are shown in Fig.…”

Section: Stability Of Homogeneous Slopementioning

confidence: 99%

Numerical integration and FE implementation of a hypoplastic constitutive model

Wang

Peng

et al. 2018

Acta Geotech.

Self Cite

View full text Add to dashboard Cite

Hypoplastic constitutive equation based on nonlinear tensor functions possesses a failure surface but no yield surface. In this paper, we consider the numerical integration and FE implementation of a simple hypoplastic constitutive equation. The accuracy of several integration methods, including implicit and explicit methods, is examined by performing a set of triaxial compression tests. Adaptive explicit schemes show the best performance. In addition, the stress drift away from the failure surface is corrected with a predictor-corrector scheme, which is verified by two boundary value problems, i.e. rigid footing tests and slope stability.

show abstract

“…It is worth noting that this constitutive model has been successfully applied to several engineering problems. ()…”

Section: Constitutive Modelmentioning

confidence: 99%

“…It is worth noting that this constitutive model has been successfully applied to several engineering problems. 57,58 The critical state concept was adopted by introducing a critical state function into the nonlinear term as a perturbation. 55 In the framework of Equation 6, the constitutive equation including the critical state concept expressed as follows:…”

Section: Critical State Enhanced Hypoplastic Formulation For Inviscidmentioning

confidence: 99%

Modelling the time‐dependent behaviour of granular material with hypoplasticity

Wang

Yin

et al. 2018

Num Anal Meth Geomechanics

Self Cite

View full text Add to dashboard Cite

Summary This paper presents a constitutive model for time‐dependent behaviour of granular material. The model consists of 2 parts representing the inviscid and viscous behaviour of granular materials. The inviscid part is a rate‐independent hypoplastic constitutive model. The viscous part is represented by a rheological model, which contains a high‐order term denoting the strain acceleration. The proposed model is validated by simulating some element tests on granular soils. Our model is able to model not only the non‐isotach behaviour but also the 3 creep stages, namely, primary, secondary, and tertiary creep, in a unified way.

show abstract

A SPH approach for large deformation analysis with hypoplastic constitutive model

Abstract: This is a repository copy of A SPH approach for large deformation analysis with hypoplastic constitutive model.

Cited by 112 publications

References 52 publications

A hypoplastic constitutive model for debris materials

A hypoplastic constitutive model for debris materials

Numerical integration and FE implementation of a hypoplastic constitutive model

Modelling the time‐dependent behaviour of granular material with hypoplasticity

Contact Info

Product

Resources

About