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 Full article

Journal

Mathematical Models in Engineering

Output data

Year: 2019, Volume: 5, Number: 4, Pages: 119-126 Pages count : 8 DOI: 10.21595/mme.2019.21220

Tags

GRANULAR MATERIALS, HYPOPLASTICITY, PROPORTIONAL DEFORMATION, RATE-INDEPENDENCE, NON-LINEAR ODE SYSTEM, ANALYTIC SOLUTION, FEASIBLE CONE

Authors

Kovtunenko Victor A. ^1,2 , Krejčí Pavel ^3,4 , Krenn Nepomuk ⁵ , Bauer Erich ⁶ , Siváková Lenka ⁴ , Zubkova Anna V. ¹

Affiliations

1	Institute for Mathematics and Scientific Computing, Karl-Franzens University of Graz
2	Lavrent’ev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences,
3	Institute of Mathematics, Czech Academy of Sciences
4	Faculty of Civil Engineering, Czech Technical University in Prague
5	Graz University of Technology
6	Institute of Applied Mechanics, Graz University of Technology

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 closed-form 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.

Kovtunenko V.A. , Krejčí P. , Krenn N. , Bauer E. , Siváková L. , Zubkova A.V.
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials
Mathematical Models in Engineering. 2019. V.5. N4. P.119-126. DOI: 10.21595/mme.2019.21220 РИНЦ OpenAlex

Submitted:	Dec 10, 2019
Accepted:	Dec 19, 2019
Published print:	Dec 31, 2019

Elibrary:	60901735
OpenAlex:	W2998102697

DB	Citing
OpenAlex	4
Elibrary	2