Bifurcation in elastic-plastic solids in plane stress-Reference-Cited by-同舟云学术

Bifurcation in elastic-plastic solids in plane stress

Published:1969 Issue:3 Volume:27 Page:381-390
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Dubey R. N.,Ariaratnam S. T.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1969-27-03/S0033-569X-1969-99817-1/S0033-569X-1969-99817-1.pdf

Reference7 articles.

1. G. R. Cowper and E. T. Onat, The initiation of necking in plane plastic flow, Proc. 4th U. S. Nat. Cong. Appl. Mech., 1023–1029 (1962)

2. The necking of a tension specimen in plane plastic flow;Onat, E. T.;J. Appl. Phys.,1954

3. Mathematics in Science and Engineering, Vol. 2;Thomas, Tracy Y.,1961

4. S. T. Ariaratnam and R. N. Dubey, Some cases of bifurcation in elastic-plastic solids in plane strain, Quart. Appl. Math. 27, 349–358 (1969)

5. Three-dimensional plastic flow under uniform stress;Prager, W.;Rev. Fac. Sci. Univ. Istanbul (A),1954

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