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Multi-Scale-Coupled Constitutive Description of Dynamic Plasticity of Nano-Twinned Copper

C.Y.Gao  W.R.Lu  
【摘要】:正Nano-grained polycrystalline materials were found to be very strong compared with conventional coarse-grained materials,whereas brittle because both nucleation and motion of dislocations are suppressed by the nano-scale crystallites.But the nano-grained metals with nano-scale twins have ultrahigh strength and also good ductility in virtue of unconfined dislocation motion and plenty of dislocation nucleation sites in the nano-twinned metals.In this paper,we will propose a macro-meso-nano-scale constitutive description of ultrahigh-strength plasticity in the nano-twinned metals by the multi-scale coupled modelling method.Firstly,Li et al.[1]reported that for such materials there exists a transition in deformation mechanism at a critical twin-boundary spacing(or twin thickness),where the classical Hall-Petch type strengthening mechanism with dislocation pile-up and cutting through twin planes switches to a dislocation-nucleation-controlled softening mechanism with twinboundary migration.However,they only investigated the dependence of the yield stress on the twin thickness.Considering the similar critical transition for grain size,we has established a macroscopic stress-strain relation with both of the nano-scale size effects of grain-boundaries and twin-boundaries,by defining an 'equivalent' activation volume related with the total dislocation density evolution on the strain.Secondly,we previously established the dynamic plastic constitutive relation for polycrystalline pure copper[2-3]based on the meso-scale mechanism of thermal activation dislocation kinetics[4].Then a multi-scale-coupled constitutive model is finally deduced by combining the above two relations.The new model can effectively reveal the intrinsic mechanism of ultrahigh strength of nano-twinned metals due to the specific consideration of the size effects of nano- scale grains and twins.The model's predictions of flow stress for nano-twinned copper are validated by the experimental results of uniaxial tension tests.

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