An Analytical Multi-Scale Approach to Describe Deformation of Nanocrystalline Metals
Continuum mechanics based constitutive models as well as non-continuum models such as the molecular dynamics has been employed to explain the experimental mechanical behaviours of nanocrystalline metals. However, the huge computational cost is necessary for the non-continuum model based simulation, and therefore the continuum mechanics based simulation still can provide the efficient analysis tool for the massive nanocrystalline metal aggregate behaviour. In the present study, the ‘material point’ was defined and the constitutive models of material point were derived from the mechanics of crystal lattice and dislocation within the framework of continuum elasticity and plasticity. Then the constitutive models were applied to the nanocrystalline Ni polycrystals composed of several nano-sized grains to estimate the effectiveness of the constitutive models. The finite element simulation results implied that the present multi-scale constitutive modeling could provide the candidate continuum mechanics based constitutive models of nanocrystalline metals, especially, with several nano-sized grains, which were not covered by the previous investigations.
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Document Type: Research Article
Publication date: December 1, 2013
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