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A CONSTITUTIVE MODEL FOR ELASTIC-PLASTIC DEFORMATION UNDER CYCLIC MULTIAXIAL STRAINING |
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| Authors: | A Navarro M W Brown |
| Affiliation: | Departamento de Ingeniería Mecánica y Materiales, E.T.S.I.I., Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012-Sevilla, Spain;Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, England |
| Abstract: | Abstract— The yield criterion is interpreted as defining the metric of the stress space. Hydrostatic stresses correspond to null geodesies. The plastic strain increment represents a normal projection of the increment undergone by a certain scalar function (hardening function) which depends only on the distance between stress points. This establishes a flow rule formally equivalent to the Prandtl-Reuss equations. Consideration of un-loading processes leads to the analysis of equivalent paths and to the definition of a generalized length or separation which provides a new representation of kinematic hardening. |
| Keywords: | Plastic deformation Yield criteria Metric of stress space Cyclic loading Non-proportional loads Kinematic hardening |