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

M. I. IDIART; N. LAHELLEC

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

PERGAMON-ELSEVIER SCIENCE LTD

Lugar: Amsterdam; Año: 2016 vol. 97 p. 317 - 332

0022-5096

New estimates are derived for the overall properties of linear solids with pointwise heterogeneous local properties. The derivation relies on the use of `comparison solids´ which, unlike comparison solids considered previously, 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. By way of example, the scheme is applied to incompressible Maxwellian solids with power-law plastic dissipation; particularly simple estimates of the Hashin-Shtrikman type are obtained. Predictions are confronted with full-field simulations for particulate composites under cyclic and rotating loading conditions. Good agreement is found for all cases considered. In particular, elasto-plastic transitions, tension-compression asymmetries (Bauschinger effect) and stress-path distortions induced by material heterogeneity are all well captured, thus improving significantly on commonly used elastic-plastic decoupled schemes.