Meso-macro-scale constitutive modeling with error control
Paper i proceeding, 2004

We consider combined material model and FE-mesh adaptivity in the context of computational meso-macro-scale modeling, whereby the coupling between different geometrical scales is taken into account. The macro-scale model is then replaced by the homogenized response of a Representative Volume Element (RVE). In practice, the RVE is analyzed as a ''small-scale'' finite element problem, which is solved for each (Gauss)point in the domain. In this presentation we discuss, in particular, one major source of macro-scale model error for given mesostructural morphology and constitutive models of the meso-constituents: The size, or degree of "representativeness", of the RVE. Results will be shown for a composite meso-structure with stiff particles embedded in a soft matrix while assuming that both constituents respond as hyperelastic continua with perfect bond. It seems as a reasonable strategy to aim at equibalancing this model error and the macro-scale discretization error for given loading.


Fredrik Larsson

Chalmers, Institutionen för konstruktionsteknik, Datorintegrerad konstruktionsmekanik

Kenneth Runesson

Chalmers, Institutionen för konstruktionsteknik, Datorintegrerad konstruktionsmekanik

Chalmers, Tillämpad mekanik, Materialteknik

Proceedings CDROM of the Sixth World Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics