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On the solution of mode jumping phenomena in thin-walled shell structures. (English) Zbl 0921.73158
Summary: This paper is an investigation into an hybrid procedure for the numerical simulation of transient buckling. The procedure consists of the combination of a classical path-following method with a transient integration method where the first method is used for the quasi static (stable) parts of the simulation and the second method for the parts of the simulation that belong to the transient domain. It is shown that the success of the procedure is guaranteed by a proper formulation of the so-called matching conditions that define the transition from one mode of operation to the other. The approach is demonstrated with two simulations: the mode jumping problem of a plate strip, and the collapse of a thin-walled composite cylinder in compression.

MSC:
74G60 Bifurcation and buckling
74K15 Membranes
74S30 Other numerical methods in solid mechanics (MSC2010)
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