By Francisco Chinesta, Elias Cueto
This e-book teams the most advances in fabric forming, contemplating varied methods, either traditional and non-conventional. It focuses
on polymers, composites and metals, that are analyzed from the state-of-the-art. detailed emphasis is dedicated to the contributions of the ecu medical organization for cloth Forming (ESAFORM) over the past decade and specifically those coming from its annual overseas conference.
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Additional info for Advances in material forming : Esaform 10 Years on
The yield locus of each crystal being quite anisotropic, the imposed stress cannot fall on the yield locus for each crystal. One can understand that no compatibility of the strain rate will be fulfilled between neighbouring grains with such an approach. This model is generally not implemented in FE method. The full constraints (FC) Taylor’s model . According to literature, Taylor type models are the most widely used for the computation of the constitutive response of 128 Advances in Material Forming – Esaform 10 years on polycrystal aggregates.
The macroscopic yield locus is employed during the FE computation in order to reduce computation time. This yield locus is determined from the micro-macro model either in a pre-processor or during the FE computation. To define the macroscopic yield locus, Van Houtte and Van Bael [40-41] proposed to use the rate of plastic work per unit volume as plastic potential in the strain rate space. The yield stress (expressed as a vector in 5D space) is the first derivative of the potential: S w< . wD (7) Multiscale Approaches 133 A 6th order series expansion is used to approximate the plastic potential: D p Dq Dr Ds Dt Du 2 M | W D Fpqrstu D D D D D D 3 with 1 d p d q d r d s d t d u d 5 < D W D , (8) where D is the norm of the strain rate D defined in 5D space; W characterizes the hardening and M is the average Taylor factor.
Acta Metall. 30 (1982) 695 9. : On the equivalence of the relaxed Taylor theory and the Bishop–Hill theory for partially constrained plastic deformation of crystals. Mater. Sci. Eng. 55 (1982) 69–77 10. : Generalisation of the relaxed constraints models for the prediction of deformation textures. Revue de Métallurgie-CIT/Science et Génie des matériaux (1997) 1483-1494 11. : Quantitative prediction of cold rolling textures in low-carbon steel by means of the LAMEL model. Textures and Microstructures 31 (1999) 109-147 12.
Advances in material forming : Esaform 10 Years on by Francisco Chinesta, Elias Cueto