Some implications of work hardening and ideal plasticity
Author:
D. C. Drucker
Journal:
Quart. Appl. Math. 7 (1950), 411-418
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/34210
MathSciNet review:
34210
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Abstract: The purpose of this note is to point out the severe restriction imposed on possible stress-strain relations by a mathematical formulation of the concepts of work hardening and ideal plasticity. Using this condition, an algebraic derivation and extension is given of Prager’s extension of the Mises plastic potential function. A brief discussion is also given of the meaning of stability of plastic deformation as contrasted with stability of non-conservative systems in general.
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Article copyright:
© Copyright 1950
American Mathematical Society