On proportional deformation paths in hypoplasticity

Bauer, Erich; Kovtunenko, Victor A.; Krejčı́, Pavel; Krenn, Nepomuk; Siváková, Lenka; Zubkova, Anna V.

doi:10.1007/s00707-019-02597-3

Cited by 11 publications

(15 citation statements)

References 39 publications

(57 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1(b) curve) approaches the half-line along a vector as → ∞ . The asymptotic behavior was investigated in our previous works [11][12][13]. In the present context, it is worth noting that , and ( ) for all > 0 lie in the negative octant in Fig.…”

Section: Computational Simulationmentioning

confidence: 84%

“…Based on Eq. (1), the rate-independent hypoplastic relations take the form of the following non-linear ODE system with respect to the unknown symmetric Cauchy stress tensor ( ) (see [11][12][13] for more modelling issues):…”

Section: Theorymentioning

confidence: 99%

“…Following the rate-independent technique developed in [10], for the simplified hypoplastic model, the asymptotic behavior was proved in our previous work [11]. Then in [12] we constructed the solution of the corresponding non-linear problem in a closed form, and extended it to a modified model in [13]. The exact solution allows us to describe analytically the evolution of stress paths for various loading scenarios obtained from monotonic compression, extension, and isochoric deformations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials

Kovtunenko

Krejčı́

Krenn³

et al. 2019

Math. models, eng.

Self Cite

View full text Add to dashboard Cite

We study stress paths that are obtained under proportional deformations within the rate-independent hypoplasticity theory of Kolymbas type describing granular materials like soil and broken rock. For a particular simplified hypoplastic constitutive model by Bauer, a closedform solution of the corresponding system of non-linear ordinary differential equations is available. Since only negative principal stresses are relevant for the granular body, the feasibility of the solution consistent with physics is investigated in dependence of the direction of a proportional strain path and constitutive parameters of the model.

show abstract

Section: Computational Simulationmentioning

confidence: 84%

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials

Kovtunenko

Krejčı́

Krenn³

et al. 2019

Math. models, eng.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Another modification of the Armstrong-Frederick kinematic hardening law (7) was proposed by Chaboche in a series of papers [14][15][16], and consists in representing the backstress σ b as a sum…”

Section: Kinematic Hardening Modelsmentioning

confidence: 99%

“…For constant ε we derived an analytical solution to (30) in the closed form, as described in details in [7] (there f c = 1 was set). The explicit solution was used to establish asymptotic behavior for the stress under proportional loading (known as Goldscheider's rule) in [7], to prove the Lyapunov stability for the dynamic system in [24], and to outline a feasible region where principal stresses are non-positive in [25]. The solution procedure was extended further to a modified model in [6].…”

Section: Initial Boundary Value Problems In Hypoplasticitymentioning

confidence: 99%

Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening

Kovtunenko¹,

Bauer²,

Eliáš³

et al. 2021

J. Sib. Fed. Univ., Math. phys.

Self Cite

View full text Add to dashboard Cite

The paper gives insights into modeling and well-posedness analysis driven by cyclic behavior of particular rate-independent constitutive equations based on the framework of hypoplasticity and on the elastoplastic concept with nonlinear kinematic hardening. Compared to the classical concept of elastoplasticity, in hypoplasticity there is no need to decompose the deformation into elastic and plastic parts. The two different types of nonlinear approaches show some similarities in the structure of the constitutive relations, which are relevant for describing irreversible material properties. These models exhibit unlimited ratchetting under cyclic loading. In numerical simulation it will be demonstrated, how a shakedown behavior under cyclic loading can be achieved with a slightly enhanced simple hypoplastic equations proposed by Bauer

show abstract

On the friction dependency of the stress Lode angle

Medicus,

Pouragha,

Ostermann

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

The shape of the failure locus of a material is significant for its strength predictions. Even when constitutive models include the same critical stress surface, different critical stress ratios can be predicted for an identical applied isochoric strain path. In this article, we investigate critical stress predictions of different constitutive models, which include the surface according to Matsuoka–Nakai (MN). We perform analytical investigations, true triaxial test simulations with hypoplasticity and barodesy, and discrete element modelling (DEM) simulations to investigate the friction dependency of the stress Lode angle. Our results demonstrate that in hypoplasticity, the direction of the deviatoric stress state at critical state depends solely on the direction of the applied deviatoric strain path. In contrast, in barodesy, the predictions are also dependent on the friction angle of the material. In addition, we compare these results with those obtained with a standard elastoplastic MN model. To validate this friction dependency on the stress Lode angle, we conduct DEM simulations. The DEM results qualitatively support the predictions of barodesy and suggest that a higher friction results in a higher Lode angle at critical stress state.

show abstract

On proportional deformation paths in hypoplasticity

Cited by 11 publications

References 39 publications

On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials

On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials

Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening

On the friction dependency of the stress Lode angle

Contact Info

Product

Resources

About