Thermo-elastic dynamic instability (TEDI) in frictional sliding of two elastic half-spaces

Afferrante, L.; Ciavarella, M.

doi:10.1016/j.jmps.2006.10.004

Cited by 12 publications

(6 citation statements)

References 26 publications

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“…And the critical friction coefficient ( f cr ) decreases as the thermal expansion coefficient ratio (α α / 1 2 ) (or the thermal diffusivity coefficient ratio k k / 1 2 ) increases or the thermal conduction coefficient ratio ( K K / 1 2 ) decreases with the χ 2 2 remaining unchanged for the Rice's family wave. with Afferrante and Ciavarella's results [13]. Fig.…”

Section: Two Half-planes Sliding Against Each Othersupporting

confidence: 58%

“…The group of Rice at Harvard in a few papers [10][11][12] has shown many general results, and in particular that when the so-called "generalized Rayleigh waves" exist already for the frictionless contact, steady frictional sliding along an interface between dissimilar elastic solids with Coulomb friction is unstable for arbitrarily small values of friction. And then Afferrante and Ciavarella [13] show that in the case of small material mismatch generalized Rayleigh waves exists already under frictionless conditions and the critical f for instability is zero. Wang et al [14] investigated the slip waves propagating along an interface between two anisotropic solids in the frictional sliding contact with local stick-slip.…”

Section: Introductionmentioning

confidence: 95%

“…This new phenomenon has been referred to as "thermoelastodynamic instability" or TEDI. And then Afferrante and Ciavarella [13] discussed the coupled case for two conducting and elastic sliding half-spaces, again finding the general family of TEDI class.…”

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Thermo-elastic dynamic instability of an elastic half-plane sliding against a coated half-plane

Liu

Wang

et al. 2016

International Journal of Mechanical Sciences

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Section: Two Half-planes Sliding Against Each Othersupporting

confidence: 58%

Section: Introductionmentioning

confidence: 95%

See 1 more Smart Citation

Thermo-elastic dynamic instability of an elastic half-plane sliding against a coated half-plane

Liu

Wang

et al. 2016

International Journal of Mechanical Sciences

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“…Additional important effects that should be considered in future works include ruptures on dipping bimaterial faults (Shi & Brune 2005), effects of complex 3‐D velocity structures (Archuleta et al 2006), and interaction of the bimaterial effects with thermoelastic instability (Afferrante & Ciavarella 2007). We also note that bimaterial contrasts might be important for interpretation of geodetic data across large faults (Le Pichon et al 2005; Fialko 2006; Wdowinski et al 2007).…”

Section: Discussionmentioning

confidence: 99%

Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction

Ampuero¹,

Ben‐Zion

2008

Geophysical Journal International

269

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SUMMARY We study in‐plane ruptures on a bimaterial fault governed by a velocity‐weakening friction with a regularized normal stress response. Numerical simulations and analytical estimates provide characterization of the ranges of velocity‐weakening scales, nucleation lengths and background stresses for which ruptures behave as cracks or pulses, decaying or sustained, bilateral or unilateral. With strongly velocity‐weakening friction, ruptures occur under a wide range of conditions as large‐scale pulses with a preferred propagation direction, that of slip of the more compliant material. Such ruptures have macroscopic asymmetry manifested by significantly larger seismic potency and propagation distance in the preferred direction, and clearly quantified by the directivity ratio derived from the second order moments of the spatio‐temporal distribution of slip rate. The macroscopic rupture asymmetry of the large‐scale pulses stems from the difference in the criticality conditions for self‐sustained propagation in each rupture direction, induced by the asymmetric normal stress changes operating in bimaterial interfaces. In contrast, crack‐like ruptures show macroscopic asymmetry under restrictive conditions. The discussed mechanism is robust with respect to regularization parameters, ranges of stress heterogeneities and a proxy for off‐fault yielding and should operate similarly for crustal‐scale rupture pulses even in the absence of velocity‐weakening. Small‐scale pulses, driven by the bimaterial normal stress reduction at the scale of the process zone, can detach from the rupture front of the large‐scale pulses that propagate in the preferred direction. However, their occurrence depends on the relaxation scale in the regularization of the normal stress response and their development can be hindered by off‐fault yielding.

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“…The governing equations for the problem under investigation (for plane-strain conditions) we write (see [45])…”

Section: Two Elastic Half-spacesmentioning

confidence: 99%

Thermo-Elastic Dynamic Instability (TEDI)—a review of recent results

Afferrante

Ciavarella

2007

J Eng Math

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Frictional instabilities arise in a number of engineering and scientific contexts, when the presence of friction renders unstable the uniform motion between parts under nominally uniform conditions. Various classes of friction instabilities exist, those involving friction weakening with speed, and those at constant coefficient of friction. In the latter class, in turn, there are Dynamic Instabilities (DI) and Thermo-Elastic Instabilities (TEI). Recently, by including inertia terms in the formulations of the simple models already studied, the merging of TEI and DI has shown that, although the coupling of dynamic and thermal terms is generally weak (given the significant difference in the typical time scales of the two processes), thermal effects are capable of making otherwise neutrally stable dynamic modes unstable, rendering the new form of instability TEDI (ThermoElastoDynamic Instability) potentially interesting in a number of applications. Some results involving 1D and 2D models of TEDI are reviewed.

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Thermo-elastic dynamic instability (TEDI) in frictional sliding of two elastic half-spaces

Cited by 12 publications

References 26 publications

Thermo-elastic dynamic instability of an elastic half-plane sliding against a coated half-plane

Thermo-elastic dynamic instability of an elastic half-plane sliding against a coated half-plane

Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction

Thermo-Elastic Dynamic Instability (TEDI)—a review of recent results

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