Elastothermodynamic damping in particle-reinforced metal-matrix composites
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When a composite material is subjected to a homogeneous or inhomogeneous stress field, different phases undergo different temperature fluctuations due to the thermoelastic effect. As a result irreversible heat conduction occurs throughout the composite, and entropy is produced; this entropy is the genesis of elastothermodynamic damping. In this paper we take the second law of thermodynamics as our starting point and calculate the elastothermodynamic damping for two canonical problems concerning particle-reinforced metal-matrix composites: (1) a single spherical inclusion in an unbounded matrix; and (2) an N-layer finite concentric composite sphere. In both cases a uniform radial time-harmonic loading is considered.