DESIGN ESTIMATES OF STRESSES AND DEFORMATIONS IN MELTING PLATES.
COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS
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In order to provide calculation procedures and design estimates to determine the mechanical behavior of ablating plates subject to atmospheric re-entry heating, the analysis of a melting elastic-perfectly plastic circular plate based on certain physically reasonable idealizations is considered. The plate, exposed on one face to a heat input which varies in time as a square pulse and insulated at the other face and at the edges, is acted upon by arbitrary edge loads. An approximate temperature solution, based on the extension of the penetration depth method to the melting problem, is derived and tabulated for all values of the parameters. A procedure is outlined for determining the stress distribution and deformations at all times during application of the pulse. Solutions are tabulated for certain cases in which the plate is not acted upon by edge loads. Approximate expressions are presented during the melting period to facilitate rapid design calculations. An analysis of stresses and deformations upon removal of the heat pulse is made based on the simplification of simultaneous elastic unloading throughout the plate at the time of removal of the pulse. Author
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