What is non-linear buckling?
Buckling mode of failure may be lurking where the stresses tend to be compressive. Like in the linear stress analysis, linear buckling is highly idealized analysis, giving the entire benefit of all doubts to the structure. Some of the assumptions are that the structure is perfectly centered for the applied load, and that all the material in the part ‘polarize’ their strengths, so to say, exactly against the applied load etc. etc. Knowing well that real life structures are far from this ideal case, we should expect that several effects interplay to reduce the ‘ideal’ strength. Among those causes are the material non-linearity, real life non-uniformity of loads, large displacements, loads trying to follow the deformed shape of the part, local yielding at supports, process-induced orientations, variations in properties, residual stresses, etc. The real life buckling strength is therefore to be obtained by including such effects – generically called non-linear buckling analysis. A reductio
