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

Abstract

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.

Stick–slip behavior of ice streams: modeling investigations

“…Tulaczyk and others, 2000) friction laws commonly used in glaciology, which express F k in terms of normal stress, cohesion, water pressure and shear stress (e.g. Rice and Tse, 1986; Afferrante and Ciavarella, 2008). (An extensive and comprehensive description of rate- and state-dependent friction laws is given by Rice and others (2001); detailed mathematical treatment of Coulomb friction properties can be found in Schoof (2006b,a). )…”

Brake comfort – a review

“…The backward waves can be destabilised due to the interaction of the disc and the pad. In [138] TEDI (thermo elastic dynamic instability) is theoretically investigated and foreseen as a cause of brake vibration and/or noise.…”

Thermoelastic instability of functionally graded coating with arbitrarily varying properties considering contact resistance and frictional heat

“…Panier et al [13] classified and explained the thermal gradients appearance on the surface of the railway disc brakes by thermograph measurements with an infrared camera. Recently, Afferrante and his co-authors present a series of excellent works [14][15][16][17] on the dynamic thermoelastic instability (DTEI) in the sliding systems, like brakes and clutches. Zelentsov et al [18] investigated the thermoelastic frictional sliding of a rigid…”