Unified static and dynamic constitutive relations with multi-subsystems,part II:static-dynamic constitutive model with two subsystems
  Revised:June 06, 2002
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DOI:10.7511/jslx20042042
KeyWord:irreversible thermodynamics,constitutive relation, multiple subsystem,point set of time,time-dependent,time-independent
Wang Zhe
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Abstract:
      The idea of synchronization is introuduced. According to whether the internal variables are synchronous or not, all internal variables are grouped, and a subsystem structure is then obtained for the whole system. The judgement criterion for the satisfaction of the consistency condition in each subsystem is proven when there is no coupling among these subsystems. Therefore, unified evolution equations for the time-dependent and time-independent behavior and loading-unloading criterion within each subsystem are obtained. The constitutive relation can be applied to static and dynamic loading. The classic plastic constitutive relation, multi-yield surface constitutive relation and over-stress viscoplastic constitutive relation are a special example of this constitutive relation.