A mesomechanical constitutive modeling applied to cumulative damage and necking

Abstract

Mesomechanical constitutive modeling is applied to modeling cumulative damage and necking. The model is applied to the description of necking in specimens under uniaxial tension, and compared with experimental results received with specimens of pure iron and Fe-2.75wt%Si alloy. The process is modeled as a change in the structure; i.e. as a successive loss of continuity of the substructure of barriers resisting plastic deformation. It is shown that this model can be used for the evaluation of continuum damage, and of the description of: (i) the stress-strain diagrams up to rupture, (ii) the effect of the length of the specimen, (iii) the development of the form of the neck and its final form at rupture, (iv) the creation of internal residual energy.