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Transition between stable sliding and stick‐slip due to variation in slip rate under variable normal stress condition
Author(s) -
He Changrong,
Ma Shengli,
Huang Jianguo
Publication year - 1998
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/98gl02518
Subject(s) - slip (aerodynamics) , slider , stiffness , mechanics , materials science , classical mechanics , physics , thermodynamics , composite material , engineering , mechanical engineering
This paper discusses a new mechanism that may control the transition between stable sliding and cyclic stick‐slip under variable normal stress condition. With a rate‐ and state‐dependent friction law that embodies the effect of normal stress, a single degree of freedom spring‐slider system inclined to the driving direction has a velocity‐dependent critical stiffness which separates stable sliding and cyclic stick‐slip. With steady state log‐linear rate‐dependent friction, the critical stiffness decreases with increasing velocity. Accordingly, higher velocity stabilizes a system for a predetermined stiffness lower than the critical value and may change the motion from cyclic stick‐slip to stable sliding, and vice versa. Our numerical simulations in full dynamic motion confirmed such transition, and agreed well with the analytical calculation. Such transitions can also be found in experimental works.