414 Multiscale Modeling of Multiphase Porous Structures

Tim Ricken, TU Dortmund University
Jörg Schröder, University of Duisburg Essen

The behavior of porous materials is mainly driven by its microstructure. Due to limitations in computational power it is nearly impossible to capture the discrete porous micro structure in computational simulations. Thus, approaches like the mixture theory (Bowen, 1976) or the theory of porous media (TPM) (de Boer, 2000; Ehlers, 2002) are used. However, the main advantage of these homogenization approaches on the one hand is on the other hand the main drawback of this models, since only few information about the micro structure are available on the macroscopic scale, e.g. volume fraction or permeability.
Thus, it is the aim of this special session to bring together experts in nonlinear material modeling on several scales as well as the description of superposed continua in a homogenized sense. This special session provides a forum for researchers to develop and exchange fruitful ideas and to enhance knowledge on the modeling and computational aspects of the subject. Topics include but are not limited to multi-scale modeling in the FE2 approach (Hill, 1963; Miehe et al., 1999) combined with classical homogenization techniques and algorithms solutions for multi-scale porous media models related to applications of various nature.

Bowen, R.M., 1976. Theory of mixtures, in: Eringen, A.C. (Ed.), Continuum Physics. Academic Press, New York, pp. 1-127.

de Boer, R., 2000. Theory of Porous Media -- highlights in the historical development and current state. Springer-Verlag.

Ehlers, W., 2002. Foundations of multiphasic and porous materials, in: Ehlers, W., Bluhm, J. (Eds.), Porous Media: Theory, Experiments and Numerical Applications. Springer-Verlag, pp. 3-86.

Hill, R., 1963. Elastic properties of reinforced solids: Some theoretical principles. Journal of the Mechanics and Physics of Solids 11, 357-372.

Miehe, C., Schotte, J., Schröder, J., 1999. Computational micro–macro transitions and overall moduli in the analysis of polycrystals at large strains. Computational Materials Science 16, 372-382.