Journal
JOURNAL DE PHYSIQUE IV
Volume 11, Issue PR5, Pages 145-152Publisher
E D P SCIENCES
DOI: 10.1051/jp4:2001518
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Predicting the macroscopic behaviour of materials on the basis of the mechanics of their microstructure, has been a subject of intensive research in the past decade. A large class of homogenization techniques has been developed to obtain macroscopic descriptions which represent microstructural features. Among these, closed-form homogenization techniques used to obtain macroscopic constitutive relations with their associated effective parameters. are probably best known. This paper focuses bn micro-macro coupled homogenization formulations in which a two-level coupled boundary value problem is set up. Such a, formulation is particularly efficient for an evolving highly nonlinear and heterogenous microstructure. A higher-order micro-macro framework is established here, which accounts for size effects and more complex microstructural deformation modes. This enrichment opens up new possibilities for the future use of these two-level computational homogenization methods.
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