Dynamics of a Chain of Springs with Nonconvex Potential Energy

DOI10.1177/1081286503031176zbMath1056.74027OpenAlexW2044218251MaRDI QIDQ4467311

Franco Cardin, Marco Favretti

Publication date: 9 June 2004

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286503031176

zbMATH Keywords

Lyapunov's second methoddynamical stability

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of dynamical problems in solid mechanics (74H55)

Related Items (3)

Thermodynamics of rate-independent plasticity ⋮ Elastic composite with negative stiffness inclusions in antiplane strain ⋮ Nucleation and phase propagation in a multistable lattice with weak nonlocal interactions

Cites Work

• Equilibrium of bars
• A model for an elastic-plastic body
• Hysteresis in discrete systems of possibly interacting elements with a double-well energy
• Hysteresis and stick-slip motion of phase boundaries in dynamic models of phase transitions
• Mechanics of a discrete chain with bi-stable elements
• Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments
• Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition

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