Elastothermodynamic damping in metal-matrix composites: One-dimensional heat conduction
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When a composite material is subjected to a stress field (homogeneous or inhomogeneous), different phases undergo different temperature fluctuations due to the Thomson effect (1853). As a result irreversible heat conduction occurs, and entropy is produced. This entropy production is the genesis of elastothermodynamic damping. This damping is calculated for an N-layered medium of finite extent with perfect or imperfect thermal interfaces in a rectangular, cylindrical, and spherical coordinate system. The medium may be subjected to any loading provided the consequential heat conduction can be described by a single spatial coordinate orthogonal to the layering. By way of illustration, analytical and numerical results are presented for N-layer periodic medium with a two-layer representative volume element with a perfect thermal interface. Two canonical mechanical states are considered separately: (1) a uniform strain parallel to the layering, and (2) a uniform stress perpendicular to the layering.
