Computational homogenization using high-performance, reduced-order modeling

J. HERNANDEZ; J. OLIVER,; A.E. HUESPE; M. CAICEDO

Barcelona

Congreso; 11th World Congress on Computational Mechanics (WCCM XI); 2014

IACM

ewline"> One of the ma jor challenges in the macro-scale continuum description of heterogeneousmaterials, such as comp osites and p olycrystalline metals, lies in the determination ofmacroscopic constitutive relations that accurately reflects the prop erties and geometricalarrangement of the distinct phases at the finer scale. It is well-known that, under certainhyp otheses (namely, scale separation and p erio dicity or statistical homogeneity), thisconstitutive link can b e systematically established by solving, for each point at the coarsescale, a Boundary Value Problem (BVP) on a certain Representative Volume Element(RVE) of the material. In a strain-driven formulation of this BVP, the macro-strain ata given point acts as ?loading parameter?, in the form of appropriate essential boundaryconditions, whereas the associated macro-stress is obtained through volume averaging?i.e., homogenization? of the corresponding micro-stress field.