ON THE LOCALIZATION OF BUCKLING PATTERNS Academic Article uri icon

abstract

  • The possibility of localization of a buckling pattern is investigated for a class of structures in which the initial buckling mode is periodic. A simple model indicates that the basic mechanism of localization involves a bifurcation at the maximum load point. This model also illustrates a clear analogy between localization of a buckling pattern in a structure under compressive loading and the phenomenon of necking in a bar under tensile loading. An analysis of the bifurcation that leads to localization, carried out for the more realistic structural model of a column on a softening foundation, demonstrates a delay between the maximum load point and the bifurcation point. A finite-element analysis of an elastic-plastic plate strip under axial compression shows the development of localization for a low hardening material, whereas localization does not occur in a plate made of a high hardening material for which no maximum load is reached.

published proceedings

  • JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

author list (cited authors)

  • TVERGAARD, V., & NEEDLEMAN, A.

citation count

  • 113

complete list of authors

  • TVERGAARD, V||NEEDLEMAN, A

publication date

  • January 1980