Grain-size effect in viscoplastic polycrystals at moderate strains. (English) Zbl 0958.74013

From the summary: This work deals with the prediction of grain-size dependent hardening in FCC and BCC polycrystalline metals at moderately high strains \((2-30\%)\). The model considers three-dimensional polycrystalline aggregates of purely viscoplastic crystals, and simulates quasi-static deformation histories with a hybrid finite element method implemented for parallel computation. The hardening response of the individual crystals is considered to be isotropic, but modified to include a physically motivated measure of lattice incompatibility which is supposed to model, in the continuum setting, the resistance to plastic flow provided by lattice defects. The length-scale in constitutive response that is required on dimensional grounds appears naturally from physical considerations. The grain-size effect in FCC polycrystals and development of stage IV hardening in a BCC material are examined as examples.


74E15 Crystalline structure
74C20 Large-strain, rate-dependent theories of plasticity
74S05 Finite element methods applied to problems in solid mechanics


Full Text: DOI


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