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Research Papers

Dynamic Instability of Two Elastic Half-Spaces Sliding With a Rate-and-State Friction Constitutive Law

[+] Author and Article Information
Jérôme Colin

Institut P’,
Université de Poitiers,
ENSMA, SP2MI-Téléport 2,
Futuroscope-Chasseneuil cedex F86962, France
e-mail: jerome.colin@univ-poitiers.fr

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received June 17, 2016; final manuscript received August 26, 2016; published online September 14, 2016. Assoc. Editor: Nick Aravas.

J. Appl. Mech 83(12), 121004 (Sep 14, 2016) (7 pages) Paper No: JAM-16-1302; doi: 10.1115/1.4034562 History: Received June 17, 2016; Revised August 26, 2016

The destabilization of the steady-state regime of two semi-infinite half-spaces of different elastic coefficients sliding upon each other has been theoretically investigated when a rate-and-state friction constitutive law controls the sliding. In the framework of linear and isotropic elastodynamics, the effect of the frictional constitutive law has been investigated onto the development of self-excited oscillations as well as the influence of the shear modulus difference between the two materials. The possibility of existence of a stick–slip regime and the conditions for the loss-of-contact are finally discussed.

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Figures

Grahic Jump Location
Fig. 1

A semi-infinite solid of material 2 of Lamé constant λ2, shear modulus μ2, Poisson ratio ν2, and mass density ρ2 is sliding upon a semi-infinite solid of material 1 of Lamé constant λ1, shear modulus μ1, Poisson ratio ν1, and mass density ρ1

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