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Dynamic solutions of non-uniform extensional motions as applied to instability of fibre-forming processes

Zahorski S.

Archives of Mechanics

1998

Vol. 50, nr 1

41-52

The concept of non-uniform extensional motion of materially non-uniform simple, locally isotropic materials is applied to the case of dynamic solutions of fibre-forming processes. The approach presented enables discussion of instability problems taking into account intertia as well as shearing effects. It is shown that small stationary disturbances may lead to unstable situations while small oscillatory distrubances grow limitlessly only for certain discrete frequencies. Some comparisons with previous result are made.