A MODIFIED INCREMENTAL STRAIN LAW FOR WORK-HARDENING MATERIALS

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Abstract
A generalization of the incremental strain law given by Hodge, Prager, and Drucker is developed. The new law affords the possibility of several different types of loading regions in contrast to the single loading or unloading region of the older theories. The stress-strain relations can be explicitly inverted and minimum principles for the stress rates and strain rates proved in the manner of Greenberg. An absolute minimum principle corresponding to the differential equations of structural stability is developed. A particular evaluation of the coefficients indicates that the new law may have broader applications than the previous theory.

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