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 Научная публикация

Журнал

Mathematical Models in Engineering

Вых. Данные

Год: 2019, Том: 5, Номер: 4, Страницы: 119-126 Страниц : 8 DOI: 10.21595/mme.2019.21220

Ключевые слова

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

Авторы

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

Организации

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

Поступила в редакцию:	10 дек. 2019 г.
Принята к публикации:	19 дек. 2019 г.
Опубликована в печати:	31 дек. 2019 г.

РИНЦ:	60901735
OpenAlex:	W2998102697

БД	Цитирований
OpenAlex	4
РИНЦ	2