Engineering Transactions, 13, 3, pp. 537-544, 1965

O Stosowalności Analogii Sprężystej w Zakresie Nieliniowej Geometrycznie Teorii Pełzania Membran Kołowych

Z. Bychawski


For problems of nonlinear creep with linear geometric relations, an elastic analogue has been given by Hoff. In a study of geometrically nonlinear creep problems Odqvist expressed an opinion elastic analogue cannot find application to such problems, for membranes in particular. The present author shows the existence of an elastic analogue for a geometrically nonlinear circular membrane undergoing creep. The possibility of application of this analogue follows from the fact that the geometrical and time variables can be separated in the membrane equations, The equations expressing the two functions of time can easily be integrated. Those for the functions of the geometrical variable are formally the same as in the clastic problem.

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