Stability of quasi-static slip in a single degree of freedom elastic system with rate and state dependent friction

DOI10.1016/S0022-5096(98)00113-6zbMath0965.70033OpenAlexW2009536997WikidataQ56997437 ScholiaQ56997437MaRDI QIDQ1968674

James R. Rice, K. Ranjith

Publication date: 5 August 2001

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/s0022-5096(98)00113-6

zbMATH Keywords

stabilityphase planeLyapunov function methodssingle degree of freedom elastic systemDieterich-Ruina friction lawquasi-static frictional slipstate evolution law

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (5)

Variational formulation of rate- and state-dependent friction problems ⋮ Numerical simulation of multiscale fault systems with rate- and state-dependent friction ⋮ Regimes of frictional sliding of a spring-block system ⋮ Thermo-elastic dynamic instability (TEDI) in frictional sliding of two elastic half-spaces ⋮ Singular limit analysis of a model for earthquake faulting

Cites Work

• Slip motion and stability of a single degree of freedom elastic system with rate and state dependent friction
• Self-healing slip pulse on a frictional surface
• Stability of Steady Frictional Slipping

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