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Construction of the Equivalent Plastic Strain Increment

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Strain hardening plastic deformation of a material possessing a yield locus (f ij )) which may be written as a homogeneous function of the stress components (σ ij ), and which obeys the classical associated flow rule for metals (e.g. Bishop and Hill, 1951) is considered. The material may be anisotropic and may display plastic dilatation. A method is given for constructing the equivalent plastic strain increment in such a way that the increment of plastic work is always equal to the product of the equivalent plastic strain increment and the equivalent yield stress. Construction of the equivalent plastic strain at a corner in the yield locus is given. The method given here is implied in classical treatments of hardening (e.g. Hill, 1950) but seems not to have been given explicitly heretofore.
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Document Type: Research Article

Affiliations: The University of Pittsburgh

Publication date: September 1, 1972

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