Initial response of a micro-polar hypoplastic material under plane shearing

Bauer, Erich

doi:10.1007/s10665-004-3949-5

Cited by 11 publications

(11 citation statements)

References 41 publications

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“…The material time derivativesṪ i j andṀ i j in (48) and (49) are related to the constitutive equations using the corresponding objective derivatives defined in (25) and (26). With respect to the non-zero stresses and couple stresses shown for plane shearing in Figure (2) the components of the objective stress rate and couple stress rate read: …”

Section: Shearing With Dilatancymentioning

confidence: 99%

“…With the solution forω c 3 all other state quantities can be derived as outlined in detail by Bauer [26]. With the solution forω c 3 all other state quantities can be derived as outlined in detail by Bauer [26].…”

Section: Initial Responsementioning

confidence: 99%

“…[17]. Analytical solutions are rare and can only be derived for certain boundary value problems using simplified versions of hypoplastic models as shown for a micro-polar hypoplastic model by Bauer and Huang [24], Huang [25] and Bauer [26]. [18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

“…Distribution of the initial response across the height of a sheared layer[26]: (a) horizontal velocityu 1 , (b) vertical velocityu 2 , (c) micro-rotation rateω c 3 , (d) macro-rotation rateω 3 , (e) difference of macro-and micro-rotation ratesω 3 −ω c 3 , and (f) curvature rate K 32 (a) shear stress rateṪ 12 , (b) shear stress rateṪ 21 , (c) normal stress rateṪ 11 =Ṫ 33 , and (d) couple stress rateṀ32 .…”

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confidence: 99%

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Modelling Limit States Within the Framework of Hypoplasticity

Bauer

2010

AIP Conference Proceedings

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The focus of this paper is on modelling limit stress states or so-called critical states in which a cohesionless granular body can be deformed continuously at a constant stress and a constant volume. The constitutive equations are based on the framework of hypoplasticity, which is an alternative concept to elasto-plasticity. The requirements for modelling limit stress states are studied for both a standard and a micro-polar hypoplastic model. As in a micro-polar description the stress tensor is usually non-symmetric, the question arises as to whether the result for the limit stress ratio based on the symmetric Cauchy stress tensor in the standard continuum is the same as the one obtained from the micro-polar continuum description. To this end the limit stress state is analysed under plane shearing of a lateral infinite granular strip located between parallel rough platens under a constant normal stress. It is shown that the stress ratio in the limit state obtained from the micro-polar hypoplastic model can only be the same as for the standard hypoplastic continuum model under certain conditions on the centre line of the shear band.

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Section: Shearing With Dilatancymentioning

confidence: 99%

Section: Initial Responsementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Modelling Limit States Within the Framework of Hypoplasticity

Bauer

2010

AIP Conference Proceedings

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“…For the numerical modelling of the evolution of shear strain localization, a non-polar hypoplastic model was extended to a micro-polar model which takes into account particle rotation, couple stresses and the mean grain diameter as a characteristic length, e.g. [9,10,12,23,39]. Recently, the model has also been extended to clayey soil, e.g.…”

Section: Introductionmentioning

confidence: 99%

Hypoplastic modelling of moisture-sensitive weathered rockfill materials

Bauer

2009

Acta Geotech.

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For broken rock materials under stress the process of weathering and consequently the degradation of the solid hardness may be accelerated under water. Thus, the resistance of particles against abrasion and breakage can be strongly influenced by a change of the moisture content of the grains. The focus of this paper is on modelling the essential mechanical properties of moisturesensitive weathered coarse-grained rockfill materials using a hypoplastic constitutive model. The model takes into account the current void ratio, the effective stress, the strain rate and a moisture-dependent degradation of the solid hardness. Creep and stress relaxation during the process of degradation of the solid hardness are also included. It is shown that the results obtained from numerical simulations are in good agreement with experiments carried out with weathered granite.

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Effects of periodic fluctuations of micro‐polar boundary conditions on shear localizations in granular soil–structure interaction

Ebrahimian

Noorzad

Alsaleh

2011

Num Anal Meth Geomechanics

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SUMMARYIn this work, the interface behavior between an infinite extended narrow granular layer and a rough surface of rigid body is investigated numerically, using finite element method in the updated Lagrangian (UL) frame. In this regard, the elasto-plastic micro-polar (Cosserat) continuum approach is employed to remove the limitations caused by strain-softening of materials in the classical continuum. The mechanical properties of cohesionless granular soil are described with Lade's model enhanced by polar terms, including Cosserat rotations, curvatures, and couple stresses. Furthermore, the mean grain diameter as the internal length is incorporated into the constitutive relations accordingly. Here, the evolution and location of shear band, within the granular layer in contact with the rigid body, are mainly focused. In this regard, particular attention is paid to the effects of homogeneous distribution and periodic fluctuation of micropolar boundary conditions, prescribed along the interface. Correspondingly, the effects of pressure level, mean grain diameter, and stratified soil are also considered. The finite element results demonstrate that the location and evolution of shear band in the granular soil layer are strongly affected by the non-uniform micro-polar boundary conditions, prescribed along the interface. It is found that the shear band is located closer to the boundary with less restriction of grain rotations. Furthermore, the predicted thickness of shear band is larger for higher rotation resistance of soil grains along the interface, larger mean grain diameter, and higher vertical pressure. Regarding the stratified soil, comprising a thin layer with slightly different initial void ratio, the shear band moves towards the layer with initially higher void ratio.

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Initial response of a micro-polar hypoplastic material under plane shearing

Cited by 11 publications

References 41 publications

Modelling Limit States Within the Framework of Hypoplasticity

Modelling Limit States Within the Framework of Hypoplasticity

Hypoplastic modelling of moisture-sensitive weathered rockfill materials

Effects of periodic fluctuations of micro‐polar boundary conditions on shear localizations in granular soil–structure interaction

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