32 citations · 96 across the 34 of their papers we have counts for
5 papers · 1 filter
Topological properties of elastoplastic lattice spring models that determine terminal distributions of plastic deformations
Oleg Makarenkov, Josean Albelo-Cortes
A recent result by Gudoshnikov et al [SIAM J. Control Optim. 2022] ensures finite-time convergence of the stress-vector of an elastoplastic lattice spring model under assumption th…
Sweeping process approach to stress analysis in elastoplastic Lattice Springs Models with applications to Hyperuniform Network Materials
Ivan Gudoshnikov, Yang Jiao, Oleg Makarenkov +1
Disordered network materials abound in both nature and synthetic situations while rigorous analysis of their nonlinear mechanical behaviors still is very challenging. The purpose o…
Finite-time stability of polyhedral sweeping processes with application to elastoplastic systems
Ivan Gudoshnikov, Oleg Makarenkov, Dmitry Rachinskiy
We use the ideas of Adly-Attoych-Cabot [Adv. Mech. Math., 12, Springer, 2006] on finite-time stabilization of dry friction oscillators to establish a theorem on finite-time stabili…
A linear state feedback switching rule for global stabilization of switched nonlinear systems about a nonequilibrium point
Oleg Makarenkov
A switched equilibrium of a switched system of two subsystems is a such a point where the vector fields of the two subsystems point strictly towards one another. Using the concept…
Stabilization of the response of cyclically loaded lattice spring models with plasticity
Ivan Gudoshnikov, Oleg Makarenkov
This paper develops an analytic framework to design both stress-controlled and displacement-controlled T-periodic loadings which make the quasistatic evolution of a one-dimensional…