Conditions for mechanical self-annealing in motions of elastic-plastic oscillators

DOI10.1007/BF01052972zbMath0712.73030OpenAlexW4241450571MaRDI QIDQ749290

John P. Thomas, David R. Owen

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01052972

zbMATH Keywords

stableLyapunov functionequilibrium statesunique solution``bilinear hysteretic behaviourautonomous system of ordinary differential equations in R(sup 3)elastic-plastic restoring forceforce-elongation relationlinear hardening rulenonconservative nonlinear vibrationsthree-dimensional state spaceunibased oscillatorswell- posed initial value problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability for nonlinear problems in mechanics (70K20) Nonlinear dynamics in mechanics (70K99) Dynamical problems in solid mechanics (74H99)

Cites Work

• An ordinary differential equation from the theory of plasticity
• Weakly decaying energy separation and uniqueness of motions of an elastic-plastic oscillator with work-hardening
• On viscoplastic and elastic-plastic oscillators
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