Elastothermodynamic damping in composite plates
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abstract
When a composite plate is subjected to a cyclic load, the tensile side cools down while the compressional side heats up due to the well-known thermoelastic effect. As a result irreversible heat conduction occurs within each layer and between layers, 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 composite plate with perfect or imperfect thermal interfaces between layers. The stress field may be quite general so long as it is justifiable to make the approximation that heat conduction occurs only in the thickness direction. By way of illustration, results are presented for the following problem: a symmetric three-layer plate in pure bending with isotropic layers, perfect thermal interfaces, and a stress field obtained from classical laminate theory.