Volume 9, Issue 2, 2000

A 3-D Periodic Instability Model for a Series of Fibres in a Matrix

A.N. Guz1, Y.N. Lapusta1/2 and A.N. Samborska3

1S.Timoshenko Institute of Mechanics, Nesterov Str. 3, Kiev, 03057, Ukraine 

                          2 till 31.07.00: Institut für Baustatik, UniversitätKarlsruhe,Kaiserstr. 12,D-76131 Karlsruhe, Germany

3 Ternopil State Technical University,Rus’ka Str. 54, Ternopil, 46001, Ukraine

1/2 (Author to whom correspondence should be addressed)

(Received 12/99; accepted 2/00)

ABSTRACT

An analytical modelling of instability phenomena of a periodic series of fibres in a matrix is presented, describing possible periodic solutions of the problem. The study includes a 3-D generalised problem statement at the fibre-matrix level, developing an analytical technique for obtaining exact solutions of the formulated problem and numerical examples for some particular cases of periodic stability loss modes.

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