Boolean reconstructions of complex materials: Integral geometric approach

Arns CH, Knackstedt MA, Mecke K (2009)

Publication Status: Published

Publication Type: Journal article

Publication year: 2009

Journal

Physical Review E American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 80

Journal Issue: 5

DOI: 10.1103/PhysRevE.80.051303

Abstract

We show that for the Boolean model of random composite media one can, from a single image of a system at any particle fraction, define a set of parameters which allows one to accurately reconstruct the medium for all other phase fractions. The morphological characterization is based on a family of measures known in integral geometry which provides powerful formulas for the Boolean model. The percolation thresholds of either phase are obtained with good accuracy. From the reconstructions one can subsequently predict property curves for the material across all phase fractions from the single three-dimensional image. We illustrate this for transport and mechanical properties of complex Boolean systems and for experimental sandstone samples.

Authors with CRIS profile

Klaus Mecke Lehrstuhl für Theoretische Physik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

Involved external institutions

University of New South Wales (UNSW) AU Australia (AU) Australian National University (ANU) AU Australia (AU)

How to cite

APA:

Arns, C.H., Knackstedt, M.A., & Mecke, K. (2009). Boolean reconstructions of complex materials: Integral geometric approach. Physical Review E, 80(5). https://doi.org/10.1103/PhysRevE.80.051303

MLA:

Arns, C. H., M. A. Knackstedt, and Klaus Mecke. "Boolean reconstructions of complex materials: Integral geometric approach." Physical Review E 80.5 (2009).

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