Localized bifurcation in hypoplasticity

Wu, Wei; Sikora, Zbigniew

doi:10.1016/0020-7225(91)90016-v

Cited by 37 publications

(14 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Bearing in mind that constitutive equation (10) should be homogenous in Q, we begin with the simplest case in assuming that the tensorial functions L and N in (10) are homogeneous of the first order in Q. Now, we turn our attention to the following specific version of hypoplastic constitutive equation:"…”

Section: A Simple Hypoplastic Constitutive Modelmentioning

confidence: 99%

“…To this end, the parameters in the constitutive equation chosen must be at first identified. For this purpose, a computer program has been written to identify the material parameters of constitutive equations within the framework of (10). Details of the procedure to identify the material parameters can be found in the recent work by Wu and Bauer.13 Here we will focus our attention on the specific constitutive equation (21) and show how the four parameters can be related to some well-established parameters in soil mechanics such as tangent modulus, Poisson ratio and friction angle.…”

Section: A Simple Hypoplastic Constitutive Modelmentioning

confidence: 99%

See 1 more Smart Citation

A simple hypoplastic constitutive model for sand

Bauer

1994

Num Anal Meth Geomechanics

197

122

View full text Add to dashboard Cite

SUMMARYThe paper presents a hypoplastic constitutive model for the three-dimensional non-linear stress-strain and dilatant volume change behaviour of sand. The model is developed without recourse to the concept in elastoplasticity theory such as yield surface, plastic potential and decomposition into elastic and plastic parts. Benefited from the non-linear tensorial functions available from the representation theorem the model possesses simple mathematical formulation and contains only four material parameters, which can be easily identified with triaxial compression tests. Comparison of the predictions with the experimental results shows that the model is capable of capturing the salient behaviour of sand under monotonic loading and is applicable to both drained and undrained conditions.

show abstract

Section: A Simple Hypoplastic Constitutive Modelmentioning

confidence: 99%

Section: A Simple Hypoplastic Constitutive Modelmentioning

confidence: 99%

A simple hypoplastic constitutive model for sand

Bauer

1994

Num Anal Meth Geomechanics

197

122

View full text Add to dashboard Cite

show abstract

“…However, it was not until Tokuoka that the general failure criterion for the hypoelastic constitutive equations was laid down. Consider hypoelastic constitutive equation (4). For vanishing stress rate we have…”

Section: Hypoelasticitymentioning

confidence: 99%

“…with zero enclosed area. This can easily be seen from the fact that T s and !T s are obtained by setting D and !D into (4). Hypoelastic constitutive equations are incrementally linear in the sense that the tangential stiffness tensor depends only on stress.…”

mentioning

confidence: 99%

Beyond Failure in Granular Materials

Niemunis

1997

Int. J. Numer. Anal. Meth. Geomech.

View full text Add to dashboard Cite

SUMMARYRecent investigations on the hypoplastic constitutive model for granular materials show that the failure surface can be surpassed by some stress paths. This is contradictory to the conventional definition of failure surface in plasticity, according to which the stress is allowed to move on the failure surface but never across it. In the present paper, the interrelations among the different constitutive models are discussed with special reference to failure and stability. For the hypoplastic constitutive equation, the accessible stress states and the stable stress states are found to be enclosed by a bound surface and a stability surface in the stress space, respectively. Theoretical findings about the bound surface and the stability surface are verified qualitatively by presenting results of triaxial tests on dry sand.

show abstract

“…In order to model the non-linear and the inelastic behaviour of granular materials, Kolymbas [21][22][23] developed a hypoplasticity approach in which the evolution equation for the stress tensor consists of the sum of a tensor function which is linear in the rate of deformation and a tensor function which is non-linear in the rate of deformation. Based on the general concept of hypoplasticity, the mechanical behaviour of granular materials has been investigated under various loading conditions; for example, shear banding [24][25][26], cohesion [27] and anisotropy [26], etc.…”

Section: Introductionmentioning

confidence: 99%

A comparative study of the hypoplasticity and the fabric‐dependent dilatant double shearing models for granular materials

Zhu

Mehrabadi

Massoudi

2006

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

SUMMARYIn this paper, we consider the mechanical response of granular materials and compare the predictions of a hypoplastic model with that of a recently developed dilatant double shearing model which includes the effects of fabric. We implement the constitutive relations of the dilatant double shearing model and the hypoplastic model in the finite element program ABACUS/Explicit and compare their predictions in the triaxial compression and cyclic shear loading tests. Although the origins and the constitutive relations of the double shearing model and the hypoplastic model are quite different, we find that both models are capable of capturing typical behaviours of granular materials. This is significant because while hypoplasticity is phenomenological in nature, the double shearing model is based on a kinematic hypothesis and microstructural considerations, and can easily be calibrated through standard tests.

show abstract

Localized bifurcation in hypoplasticity

Cited by 37 publications

References 12 publications

A simple hypoplastic constitutive model for sand

A simple hypoplastic constitutive model for sand

Beyond Failure in Granular Materials

A comparative study of the hypoplasticity and the fabric‐dependent dilatant double shearing models for granular materials

Contact Info

Product

Resources

About