Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity

M. I. IDIART; N. LAHELLEC

Urbana

Congreso; XV Pan-American Congress of Applied Mechanics; 2015

New estimates are derived for the overall properties of linear solids with pointwise heterogeneous local properties. The derivation relies on the use of `comparsion solids' which, unlike comparison solids considered in previous derivations, are themselves pointwise heterogeneous. The estimates are then exploited within an incremental homogenization scheme to determine the overall response of multiphase elasto-viscoplastic solids under arbitrary loading histories. Simple constitutive relations for rigidly reinforced and porous solids are provided and confronted with reference solutions. Improvements over competing approaches are found for both types of material systems. Comparison media with pointwise heterogeneity turn out to be crucial in obtaining such improvements.