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- W2003298965 endingPage "4322" @default.
- W2003298965 startingPage "4287" @default.
- W2003298965 abstract "We present a detailed description of the numerical implementation, within the widely used viscoplastic self-consistent (VPSC) code, of a rigorous second-order (SO) homogenization procedure for non-linear polycrystals. The method is based on a linearization scheme, making explicit use of the covariance of the fluctuations of the local fields in a certain linear comparison material, whose properties are, in turn, determined by means of a suitably designed variational principle. We discuss the differences between this second-order approach and several first-order self-consistent (SC) formulations (secant, tangent and affine approximations) by comparing their predictions with exact full-field solutions. We do so for crystals with different symmetries, as a function of anisotropy, number of independent slip systems and degree of non-linearity. In this comparison, the second-order estimates show the best overall agreement with the full-field solutions. Finally, the different SC approaches are applied to simulat..." @default.
- W2003298965 created "2016-06-24" @default.
- W2003298965 creator A5040519029 @default.
- W2003298965 creator A5042339347 @default.
- W2003298965 creator A5056557701 @default.
- W2003298965 date "2007-08-28" @default.
- W2003298965 modified "2023-10-03" @default.
- W2003298965 title "Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations" @default.
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