On proportional deformation paths in hypoplasticity

0523588 - MÚ 2021 RIV AT eng J - Journal Article
Bauer, E. - Kovtunenko, V. A. - Krejčí, Pavel - Krenn, N. - Siváková, L. - Zubkova, A. V.
On proportional deformation paths in hypoplasticity.
Acta Mechanica. Roč. 231, č. 4 (2020), s. 1603-1619. ISSN 0001-5970. E-ISSN 1619-6937
Institutional support: RVO:67985840
Keywords : nonlinear equations * ordinary differential equations * plasticity
OECD category: Pure mathematics
Impact factor: 2.698, year: 2020
Method of publishing: Open access
https://doi.org/10.1007/s00707-019-02597-3

We investigate rate-independent stress paths under constant rate of strain within the hypoplasticity theory of Kolymbas type. For a particular simplified hypoplastic constitutive model, the exact solution of the corresponding system of nonlinear ordinary differential equations is obtained in analytical form. On its basis, the behaviour of stress paths is examined in dependence of the direction of the proportional strain paths and material parameters of the model.
Permanent Link: http://hdl.handle.net/11104/0307921