By Francisco Chinesta, Elias Cueto
This ebook teams the most advances in fabric forming, contemplating varied tactics, either traditional and non-conventional. It focuses
on polymers, composites and metals, that are analyzed from the cutting-edge. precise emphasis is dedicated to the contributions of the ecu medical organization for fabric 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 velocity gradient is given by the finite element code at each integration point and the corresponding stress is sought for. The plastic strain rate is deduced from equation (6) in a macroscopic point of view; the microscopic one is identical for all the crystals of the RVE associated with one integration point (see equation (5)), however it must be rotated to be expressed in each crystal lattice reference system. Each crystal in its own reference system sustains a different plastic strain rate.
The simplest form of the yield criterion is with respect to a coordinate system associated with the axes of symmetry of the material. For instance, due to the symmetry of their thermo-mechanical processing history, sheet metals exhibit orthotropic symmetry characterized by three mutually orthogonal planes of symmetry. These are denoted x, y and z and correspond to the rolling, transverse and normal directions of the sheet, respectively. Hill  proposed an extension of the isotropic Mises criterion to orthotropic materials I 2 2 F V yy V zz G V zz V xx H V xx V yy 2 LV yz2 M V zx2 NV xy2 V 2 2 (2) In this equation, F , G, H , L, M and N are material constants.
International Centre for Mechanical Sciences, Courses and Lectures n°376, Springer Verlag, 109-172 25. : Application of polycrystal plasticity to sheet forming. Comp. Methods Appl. Mech. Eng. 117 (1994) 49-70 26. : Modelling deformation microstructure with the crystal plasticity finite-element method. Philos. T. Roy. Soc. A 357 (1999) 1589 27. : Crystallographic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids 40 (1992) 537–569 28. : Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling.
Advances in material forming : Esaform 10 Years on by Francisco Chinesta, Elias Cueto