Finite-time stability of any polyhedral sweeping process with uni-directional loading and application to elastoplastic models

DOI10.1016/j.aml.2022.108563MaRDI QIDQ6101809

Josean Albelo-Cortes, O. Yu. Makarenkov

Publication date: 20 June 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

normal conelattice spring modelgenericity conditiondisplacement-controlled loadingplastic deformation distribution

Mathematics Subject Classification ID

Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Cites Work

• Normal fans of polyhedral convex sets
• On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator
• Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
• Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs
• Variational Analysis
• Stabilization of the response of cyclically loaded lattice spring models with plasticity
• One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model
• Finite-Time Stability of Polyhedral Sweeping Processes with Application to Elastoplastic Systems
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