The complete post-buckling and large deformations of an elastica rod,
one end fixed and one end pinned, is studied through perturbations nea
r bifurcation, asymptotic analysis for large loads and a numerical int
egration scheme. The bifurcation curve is not monotonic. The postbuckl
ing behavior exhibits non-linear phenomena such as limit load, non-uni
queness, hysteresis, and violent jumps. (C) 1997 Elsevier Science Ltd.