Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



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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DOI: https://doi.org/10.1090/qam/34210
Article copyright: © Copyright 1950 American Mathematical Society

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