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Post-buckling of a clamped-simply supported elastica. (English) Zbl 0891.73034

Summary: The complete post-buckling and large deformations of an elastica rod, one end fixed and one end pinned, is studied through perturbations near bifurcation, asymptotic analysis for large loads and a numerical integration scheme. The bifurcation curve is not monotonic. The post-buckling behavior exhibits nonlinear phenomena such as limit load, non-uniqueness, hysteresis, and violent jumps.

MSC:

74G60 Bifurcation and buckling
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74B20 Nonlinear elasticity
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