Micro-mechanical modeling of the inelastic behavior of directionally solidified materials

Micro-mechanically based constitutive models representing inelastic behavior of directionally solidified (DS) materials are proposed. A finite element (FE) computation used to calibrate the model is first presented. It is compared with a model using a static homogenization scheme (uniform stress throughout the material). These approaches lead to significantly different results. A new model is then proposed with a suitable scale transition rule from the macroscopic level to the grain level. Satisfactory results are obtained for this second model, at the macroscopic level as well as for local responses.