Abstract
The effect of thermomechanical coupling in a viscoelastic hollow cylinder subjected to sinusoidal shear stresses or shear displacements has been studied. The problem is a simple model of torsional springs made of rubberlike materials. The material is assumed to be thermorheologically simple. A non-linear boundary value problem is formulated for the almost steady mechanical oscillation coupled with a slowly varying temperature distribution. The wave motion is analyzed by the well-known WKB approximation. Corresponding temperature distributions are calculated numerically by iterative procedures. Although the applied stress and applied displacement are small, significant temperature rises are found. Different stress and temperature distributions are compared for various frequencies.
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