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Afferrante, Luciano; Ciavarella, Michele

Thermo-elastic dynamic instability (TEDI) – a review of recent results. (English) Zbl 1148.74033

J. Eng. Math. 61, No. 2-4, 285-300 (2008).
Summary: 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 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 typical time scales of 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.

Cited in 1 Document

MSC:

74H55 Stability of dynamical problems in solid mechanics
74F05 Thermal effects in solid mechanics
74M10 Friction in solid mechanics
74B05 Classical linear elasticity
74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids

Keywords:

frictional vibrations; squeal; friction instabilities

Software:

HotSpotter
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\textit{L. Afferrante} and \textit{M. Ciavarella}, J. Eng. Math. 61, No. 2--4, 285--300 (2008; Zbl 1148.74033)
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