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For that task, we have used two different approaches: (1) finite element simulations and (2) linear stability analyses.
Cellular and pulsating instabilities are found at low and high Lewis numbers, respectively, as predicted by linear stability analyses.
The usefulness of lumped-parameter linear stability analyses for the prediction of dynamic instabilities of air cushion vehicles is explored.
The numerical results have been rationalized with the linear stability analyses, which enabled to explain the average spacing characterizing the necking pattern at high strain rates.
The dynamics of the processes is discussed within a framework which takes a careful path from linear stability analyses to direct numerical simulations.
Two new criteria suitable for the linear stability analyses of such systems are presented, one for flutter and the other for divergence.
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Linear and non-linear stability analyses of the evolution equation give estimates of the emerging pattern wavelength and spatial symmetry.
Both linear and nonlinear stability analyses are carried out.
The linear and nonlinear stability analyses are done in the ANSYS software.
The unstable result is based on linear and nonlinear stability analyses.
The authors of the paper compare the results obtained from analytical investigation based on Eurocode 3 formulas, from linear and nonlinear numerical stability analyses and experimental investigation.
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