NDLI: Fracture and friction: Stick-slip motion

Content Provider	Springer Nature Link
Author	Brener, E. A. Malinin, S. V. Marchenko, V. I.
Copyright Year	2005
Abstract	We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding at some critical stress which is nothing but the Griffith threshold for crack propagation. An inhomogeneous mode of sliding occurs when the driving velocity is prescribed instead of the external stress. A transition to homogeneous sliding occurs at a critical velocity, which is related to the critical stress. We solve the elastic problem for a steady-state motion of a periodic stick-slip pattern and derive equations of motion for the tip and resticking end of the slip pulses. In the slip regions we use the linear friction law and do not assume any intrinsic instabilities even at small sliding velocities. We find that, as in many other pattern forming system, the steady-state analysis itself does not select uniquely all the internal parameters of the pattern, especially the primary wavelength. Using some plausible analogy to first-order phase transitions we discuss a “soft” selection mechanism. This allows to estimate internal parameters such as crack velocities, primary wavelength and relative fraction of the slip phase as functions of the driving velocity. The relevance of our results to recent experiments is discussed.
Starting Page	101
Ending Page	113
Page Count	13
File Format	PDF
ISSN	12928941
Journal	The European Physical Journal E
Volume Number	17
Issue Number	1
e-ISSN	1292895X
Language	English
Publisher	Società Italiana di Fisica
Publisher Date	2005-04-05
Publisher Place	Bologna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Biotechnology Physical Chemistry Polymer Sciences Surfaces and Interfaces, Thin Films Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks Soft Matter, Complex Fluids Biophysics/Biomedical Physics
Content Type	Text
Resource Type	Article
Subject	Chemistry Medicine Biophysics Materials Science Surfaces and Interfaces Biotechnology

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