Sliding modes of two interacting frictional interfaces

DOI10.1016/j.jmps.2007.03.004zbMath1401.74214OpenAlexW2163804701MaRDI QIDQ1027087

Thibaut Putelat, Jonathan H. P. Dawes, John R. Willis

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmps.2007.03.004

zbMATH Keywords

Hopf bifurcationpitchwork bifurcationperiod-doubling bifurcationrate-and-state friction

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (5)

Steady and transient sliding under rate-and-state friction ⋮ A phase-plane analysis of localized frictional waves ⋮ On the microphysical foundations of rate-and-state friction ⋮ A comparative study between Amontons-Coulomb and Dieterich-Ruina friction laws for the cyclic response of a single degree of freedom system ⋮ Regimes of frictional sliding of a spring-block system

Uses Software

• AUTO

Cites Work

• Slip motion and stability of a single degree of freedom elastic system with rate and state dependent friction
• Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)
• Stability of Steady Frictional Slipping
• Stability, Instability and Chaos
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Small denominators. I. Mappings of the circumference onto itself
• Elements of applied bifurcation theory
• Rate and state dependent friction and the stability of sliding between elastically deformable solids
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