Error controlled meso-macro-scale material modeling and computation
Paper i proceeding, 2004

In constitutive modeling, a key issue is to choose the complexity of a model such that model and discretization errors are properly balanced. In other words, there is no point in choosing a complex, and computationally demanding, constitutive model if the solution of the structural problem has low quality. In this paper, we consider combined material model and FE-mesh adaptivity in the context of Computational Meso-Macro-scale Modeling (CMM). 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. The high cost of this strategy clearly motivates the use of adaptive techniques based on a posteriori error estimates for the combined model and discretization error. The suggested adaptive procedure is applied to a particle/matrix composite with hyperelastic constituents.

Multi-scale computations

Model adaptivity


Fredrik Larsson

Chalmers, Institutionen för konstruktionsteknik, Datorintegrerad konstruktionsmekanik

Kenneth Runesson

Chalmers, Institutionen för konstruktionsteknik, Datorintegrerad konstruktionsmekanik

Chalmers, Tillämpad mekanik, Materialteknik

4th European Congress on Computational Methods in Applied Sciences and Engineering

Vol. 2