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Manual for Code VISCO-PLASTIC SELF-CONSISTENT (VPSC)

I Manual for Code VISCO PLASTIC SELF CONSISTENT (VPSC) Version 7c (last updated: November 13, 2009) Tom (Los Alamos National Laboratory & USA) and Lebensohn (Los Alamos National Laboratory & USA) II INDEX Copyright / Disclosure .. 1 General Description / Recommendation .. 2 What s new in 3 SECTION 1: Theory and Models 1&1 Introduction .. 4 1&2 Kinematics .. 4 1&3 Updating crystal orientation and grain shape .. 6 1&3&1 Crystallographic & morphologic texture rotation 1&3&2 Grain co&rotation 1&5 Self&consistent polycrystal 8 1&5&1 Local behavior and homogenization 1&5&2 Green function and fourier transform 1&5&3 Viscoplastic inclusion and Eshelby tensors 1&5&4 Interaction and localization equations 1&5&5 Self&consistent equations 1&5&6 Algorithm 1&5&7 Secant, affine, tangent and intermediate linearizations 1&6 Hardening of slip and twinning 21 1&6&1 Voce hardening 1&6&2 MTS hardening 1&7 Twinning model .. 26 1&8& Second order formulation.

Nov 13, 2009 · 1-5-2 Green function and Fourier transform 1-5-3 Viscoplastic inclusion and Eshelby tensors 1-5-4 Interaction and localization equations ... advised to become familiar with the examples in Section 3, because they highlight different capabilities of the code. Reproducing the numerical results of the examples is highly recommended both, to become ...

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