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力学学报  2000 

FINITE PLASTIC STRAIN AND ITS RATE AND THEIR REPRESENTATION IN CRYSTAL PLASTICITY
有限塑性应变与应变率及其在晶体塑性中的表示

Keywords: finite plasticity,strain and strain rates,intermediate configuration,crystal plasticity
有限塑性
,中间构形,应变,应变率,晶体塑性

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Abstract:

In this paper, the uniqueness for the elastic-plastic multiplicative decomposition ofdeformation gradient is investigated. It is shown that finite elastic-plastic strain defined in relaxedconfiguration corresponds to unique Lee's decomposition. The properties are analyzed for this kindof strain. The objective plastic strain rates are supposed in different configurations, respectively.The relations between the objective plastic strain rate and the objective plastic deformation rateare presented. These relations are useful and convenient in the studies and applications of elastoplasticity involving finite deformation. According to the relations of deformation rate and plasticstrain rate, the representations of plastic strain rate and plastic strain in crystal plasticity are presented, which give the relations between plastic slipping rate, plastic strain rate and plastic strainin different configurations. These relations will provide the potentiality for the further studies andapplications of crystal plasticity.

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