Stabilization of the response of cyclically loaded lattice spring models with plasticity

DOI10.1051/cocv/2020043zbMath1484.74035arXiv1708.03084OpenAlexW3041260090MaRDI QIDQ4999585

Ivan Gudoshnikov, O. Yu. Makarenkov

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03084

zbMATH Keywords

elastoplasticitystabilizationquasistatic evolutiondisplacement controlperiodic loadingstress controlMoreau sweeping process

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Stability of dynamical problems in solid mechanics (74H55) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Finite-Time Stability of Polyhedral Sweeping Processes with Application to Elastoplastic Systems ⋮ Finite-time stability of any polyhedral sweeping process with uni-directional loading and application to elastoplastic models ⋮ Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input ⋮ Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction

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