THERMAL STRESS ANALYSIS OF SANDWICH CYLINDERS
JOHNS HOPKINS UNIV LAUREL MD APPLIED PHYSICS LAB
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Three theories are developed for computing the thermal stresses in sandwich cylinders with a continuous isotropic core. These are based upon the following idealizations 1 dividing the cylinder into concentric constant modulus sub-cylinders which are analyzed by thick cylinder theory, 2 treating the faces as membranes and the core as a thick cylinder, and 3 using a modified thin-shell theory which accounts for the variable modulus. Results from the theories are compared for an alumina sandwich which is typical of randome construction. It is found that the thin-shell formulation results in a simple equation but is only accurate at large values of the mean radius to total thickness ratio. The membrane-face equations agree well with the concentric- cylinder theory but computational difficulties are comparable to the latter method. The concentric-thick-cylinder theory has therefore been selected to be programmed for machine computation. It may also be used to analyze homogeneous cylinders in which the modulus is temperature dependent and therefore varies through the wall thickness.
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