A generalized-secant homogenization scheme for viscoplastic polycrystalline solids under imposed deformations

M. I. IDIART; P.-G. VINCENT

COMPTES RENDUS MECANIQUE

ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER

Lugar: Paris; Año: 2015 vol. 343 p. 179 - 186

1631-0721

Homogenization estimates for viscoplastic polycrystals are derived by applying the generalized-secant linearization scheme of Liu & Ponte Castañeda (J. Mech. Phys. Solids 52 (2004), 1175--1211) to the constitutive description with strain rates as primary variables. The resulting estimates are thus particularly suitable for simulating mechanical processes where deformations are imposed and where the material softens. Their accuracy is preliminarily assessed in the context of a model material system. Good agreement with previous estimates is found.