Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Bifurcation in elastic-plastic solids in plane stress

Authors: R. N. Dubey and S. T. Ariaratnam
Journal: Quart. Appl. Math. 27 (1969), 381-390
DOI: https://doi.org/10.1090/qam/99817
MathSciNet review: QAM99817
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Abstract | References | Additional Information

Abstract: A sufficient condition for bifurcation of equilibrium for an elastic-plastic solid under a state of plane stress is established. The bifurcation is found to occur in any of the following modes: (i) symmetric mode corresponding to necking or bulging, (ii) antisymmetric mode corresponding to buckling and (iii) mode of deformation localized at the surface.

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Additional Information

DOI: https://doi.org/10.1090/qam/99817
Article copyright: © Copyright 1969 American Mathematical Society

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