VISCOELASTIC STRESS ANALYSIS OF A SPINNING HOLLOW CIRCULAR CYLINDER WITH AN ABLATING PRESSURIZED CAVITY
BROWN UNIV PROVIDENCE R I
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A viscoelastic stress and deformation analysis of a hollow circular cylinder spinning about its axis and subjected to internal pressure on the circular cylindrical ablating cavity is presented. Particular features of this problem were the ablating boundary varying with time, the centrifugal body force due to spin and linear viscoelasticity with infinitesimal deflection. A method involving separate integration with respect to the time and space variables gave solutions for particular viscoelastic materials represented by models with a finite number of springs and dashpots. A general method of solution was also developed which can be applied to general linear viscoelastic materials characterized by integral operators or the differential operator forms associated with model representation. Expressions for stress and deformation components are obtained for particular materials, and selection of these is exhibited graphically. General and particular properties of the solutions are discussed. Author-PL.