Let's consider a FE buckling calculation without plasticity.
Is there theoretically any chance that the non-linear analysis will give a higher buckling load than the linear one?
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The linear and nonlinear analyses will be different because the mathematical formulation is different. So the critical loads will be different. Unless you tell us exactly what you did (which might mean providing the complete input data files), there is no way to guess whether "different" means "higher" or "lower". – alephzero Mar 27 '20 at 12:26
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To be more specific i'm talking about a buckling of a cylinder. The acting load is vacuum. – G.David Mar 27 '20 at 12:32
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Your Linear analysis should be to a degree diferent, and likely lower than your nonlinear, as it's only valid around a specific point. It can be depending on the model and maths, wildly incorrect compared to the nonlinear one. – DrMrstheMonarch Mar 27 '20 at 17:32