%A Kovtunenko, Victor A.
%A Krejčí, Pavel
%A Bauer, Erich
%A Siváková, Lenka
%A Zubkova, Anna V.
%D 2017
%T On Lyapunov stability in hypoplasticity
%K
%X 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 prop ortional, 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.
%U http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/708
%J Proceedings of Equadiff 2017 Conference
%0 Journal Article
%P 107-116%8 2017-12-29