ON THE DEVELOPMENT OF LOCALIZED BUCKLING PATTERNS.
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abstract
The localization of buckling patterns is in various ways analogous to the necking of tensile bars and we begin by describing a simple one-dimensional model which highlights this analogy and illustrates the basic mechanism involved. Next, we review results on the development of buckling-pattern localization in various structures under quasi-static loading conditions, including axially compressed elastic-plastic plate strips, ring-stiffened circular cylindrical shells, elastic-plastic columns continuous over several equally spaced supports and railway tracks subject to thermally induced compressive forces. Localized buckling also occurs under dynamic loading conditions. Analyses of the development of localization in these circumstances are of interest in connection with applications to shock-absorbing devices. We present some results illustrating the influence of inertia on the tendency for buckling-pattern localization. Refs.
