Assessing the ``(in)stability of quasi-static paths

DOI10.1016/j.ijengsci.2012.02.001zbMath1423.70050OpenAlexW2015895618MaRDI QIDQ1659859

João A. C. Martins, António Pinto da Costa, Fernando M. F. Simões

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2012.02.001

zbMATH Keywords

stabilitysingular perturbationmultiple time scalesquasi-static

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Dynamical systems in classical and celestial mechanics (37N05) Stability theory for smooth dynamical systems (37C75) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Dynamical systems methods for problems in mechanics (70G60) Nonlinear modes (70K75)

Related Items (1)

Critical elastic parameters motivating divergence instability of frictional composite infinitely long media

Cites Work

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• Perturbation analysis of thermoviscoplastic instabilities in biaxial loading
• Singular perturbation methods for ordinary differential equations
• Stability and post-buckling of articulated columns
• Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction
• On the stability of quasi‐static paths for finite dimensional elastic‐plastic systems with hardening
• On the (in)stability of quasi-static paths of smooth systems: definitions and sufficient conditions
• On Nonconservative Stability Problems of Elastic Systems With Slight Damping

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