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    ARTICLE

    Computational Applications of the Poincaré Group on the Elastoplasticity with Kinematic Hardening

    Chein-Shan Liu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.3, pp. 231-258, 2005, DOI:10.3970/cmes.2005.008.231

    Abstract Using a group-theoretical approach in the Minkowski space we explore kinematic hardening rules from a viewpoint of the Poincaré group. The resultant models possess two intrinsic times q0a and q0b; the first q0a controls the on/off switch of plasticity, and the second q0b controls the pace of back stress during plastic deformation. We find that some existent kinematic hardening rules, including the modifications from the Armstrong-Frederick kinematic hardening rule, can be categorized into type I, type II and type III, which correspond respectively to q0b = 0, q0b = q0a and q0bq0a. Based More >

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