On Lyapunov stability in hypoplasticity

0488572 - MÚ 2018 RIV SK eng C - Konferenční příspěvek (zahraniční konf.)
Kovtunenko, V. A. - Krejčí, Pavel - Bauer, E. - Siváková, L. - Zubkova, A. V.
On Lyapunov stability in hypoplasticity.
Proceedings of EQUADIFF 2017 Conference. Bratislava: Slovak University of Technology, 2017 - (Mikula, K.; Ševčovič, D.; Urbán, J.), s. 107-116. ISBN 978-80-227-4757-8.
[EQUADIFF 2017. Bratislava (SK), 24.07.2017-28.07.2017]
Grant CEP: GA MŠMT 7AMB16AT035
Institucionální podpora: RVO:67985840
Klíčová slova: nonlinear ODE * rate-independent problem * asymptotic behavior
Obor OECD: Pure mathematics
http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/708

We investigate the Lyapunov stability implying asymptotic behavior of a nonlinear ODE system describing stress paths for a particular hypoplastic constitutive model of the Kolymbas type under proportional, arbitrarily large monotonic coaxial deformations. The attractive stress path is found analytically, and the asymptotic convergence to the attractor depending on the direction of proportional strain paths and material parameters of the model is proved rigorously with the help of a Lyapunov function.
Trvalý link: http://hdl.handle.net/11104/0283145