Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements

Tejchman, J.

doi:10.1016/j.compgeo.2004.10.001

Cited by 65 publications

(45 citation statements)

References 51 publications

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“…Deterministic size effects have been studied in granular materials intensively by numerous researchers using a finite element (FE) method based on enhanced continua including a characteristic length of microstructure (e.g. [14]) and a strong discontinuity approach [15]. In turn, in the case of statistical size effects, non-linear calculations are only few [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Deterministic and statistical size effect during shearing of granular layer within a micro‐polar hypoplasticity

Tejchman

Górski

2007

Num Anal Meth Geomechanics

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SUMMARYThe paper deals with numerical investigations of a deterministic and statistical size effect in granular bodies during quasi-static shearing of an infinite layer under plane strain conditions, free dilatancy and constant pressure. For a simulation of the mechanical behaviour of a cohesionless granular material during a monotonous deformation path, a micro-polar hypoplastic constitutive relation was used which takes into account particle rotations, curvatures, non-symmetric stresses, couple stresses and the mean grain diameter as a characteristic length. The proposed model captures the essential mechanical features of granular bodies in a wide range of densities and pressures with a single set of constants. In the paper, a deterministic and statistical size effect is analysed. The deterministic calculations were carried out with an uniform distribution of the initial void ratio for four different heights of the granular layer: 5, 50, 500 and 2000 mm. To investigate the statistical size effect, the Monte Carlo method was applied. The random distribution of the initial void ratio was assumed to be spatially correlated. Truncated Gaussian random fields were generated in a granular layer using an original conditional rejection method. The sufficient number of samples was determined by analysing the convergence of the outcomes. In order to reduce the number of realizations without losing the accuracy of the calculations, stratified and Latin hypercube methods were applied. A parametric analysis of these methods was also presented. Some general conclusions were formulated.

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Section: Introductionmentioning

confidence: 99%

Deterministic and statistical size effect during shearing of granular layer within a micro‐polar hypoplasticity

Tejchman

Górski

2007

Num Anal Meth Geomechanics

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“…m a n u s c r i p t 4 It has been shown that hypoplastic constitutive models without a characteristic length cannot describe realistically shear localization (Tejchman and Wu 1993, Maier 2002, Huang et al 2002. A characteristic length can be introduced into hypoplasticity by means of micro-polar, non-local and second-gradient theory (Maier 2002, Tejchman 2004. In this paper, we adopted the micro-polar theory.…”

Section: Micro-polar Hypoplastic Constitutive Modelmentioning

confidence: 99%

“…For the time integration of stresses in finite elements, a one-step Euler forward scheme was applied. The calculations were carried out with large deformations and curvatures using the so-called "Updated Lagrangian" formulation (Tejchman 2004). …”

Section: Input Data and Fe-implementationmentioning

confidence: 99%

Modeling of textural anisotropy in granular materials with stochastic micro-polar hypoplasticity

Tejchman

Wu²

2007

International Journal of Non-Linear Mechanics

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The paper deals with a numerical analysis of the effect of textural anisotropy on the behaviour of cohesionless granular materials with consideration of shear localization. For a simulation of the mechanical behavior of a granular material during a monotonic deformation path, an isotropic micropolar hypoplastic constitutive model was used. To describe textural effects, spatially correlated random fields of the initial void ratio were subject to rotation against the horizontal axis. The 2D random fields were generated using a conditional rejection method. The results were compared with those obtained with an anisotropic micro-polar constitutive model for an uniform distribution of the initial void ratio. The calculations were carried out with a dense granular specimen during plane strain compression under constant lateral pressure.Key words: finite element method, granular material, micro-polar hypoplasticity, random field, shear zone, textural anisotropy A c c e p t e d m a n u s c r i p t 2

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“…The constitutive relationship between the rate of stress, the rate of couple stress, the strain rate and the curvature rate can be generally expressed by the following two equations (Tejchman andGórski 2008, Tejchman 2008):…”

Section: Appendixmentioning

confidence: 99%

“…In order to account for the post bifurcation behaviour, a characteristic length can be introduced into the hypoplastic model by means of micro-polar, non-local or second-gradient theories (Tejchman 2004) . In this paper, a micro-polar theory was adopted.…”

Section: A C C E P T E D Article In Pressmentioning

confidence: 99%

Boundary effects on behaviour of granular material during plane strain compression

Tejchman¹,

Wu²

2010

European Journal of Mechanics - A/Solids

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The paper investigates the boundary effect on the behaviour of granular materials during plane strain compression using finite element method. A micro-polar hypoplastic constitutive model was used. The numerical calculations were carried out with different initial densities and boundary conditions. The behaviour of initially dense, medium dense and loose sand specimen with very smooth or very rough horizontal boundary was investigated. The formation of shear zones gave rise to different global and local stress and strain. Comparisons of the mobilized internal friction, dilatancy and non-coaxiality between global and local quantities were made.

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Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements

Cited by 65 publications

References 51 publications

Deterministic and statistical size effect during shearing of granular layer within a micro‐polar hypoplasticity

Deterministic and statistical size effect during shearing of granular layer within a micro‐polar hypoplasticity

Modeling of textural anisotropy in granular materials with stochastic micro-polar hypoplasticity

Boundary effects on behaviour of granular material during plane strain compression

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