LARGE CREEP DEFORMATIONS OF THIN SHELLS OF REVOLUTION

概要

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This paper is concerned with the numerical analysis of large creep deformations of thin shells of revolution under an axisymmetric load with applications to metallic bellows. The mathematical theory of creep as it applies to thin shells of revolution undergoing considerably large deformations is developed for two hardening laws. The basic differential equations derived for incremental values with respect to time or load are numerically solved by a finite difference method, and the solutions at any time are obtained by integration of the incremental values. As a numerical example the problem of creep deformation of metallic bellows important in practical use is treated. It is shown that in creep deformation of thin shells such as bellows, the difference between solutions from linear theory and those form non-linear theory becomes large, therefore the non-linear theory should be employed. The results of the prediction method agree well with experimentally determined values for aluminium annular plates at room temperature.
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