ELASTOTHERMODYNAMIC DAMPING IN COMPOSITE MATERIALS
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When a composite material is subjected to a stress field (homogeneous or inhomogeneous), different phases undergodifferent temperature fluctuations due to the well-known thermoelastic effect. As a result irreversible heat conduction occurs within each phase and between phases, 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 of an N-layer medium with perfect or imperfect thermal interfaces in a rectangular, cylindrical, and spherical co-ordinate system. Each layer of the composite may be subjected to any stress state so long as the resulting heat conductioncan be described by a single spatial co-ordinate orthogonal to the layering. By way of illustration, results are presentedfor the following boundary value problem: an JV-layer periodic medium with a two-layer unit cell and a perfect or imperfectthermal interface. Two canonical mechanical states are considered: (1) a time-harmonic uniform stress perpendicular to thelayering, and (2) a time-harmonic uniform strain parallel to the layering. 1994 Taylor and Francis Group, LLC.
