An important goal of materials science is to have exquisite knowledge of structure-property relations in order to design material microstructures with desired properties and performance characteristics. Although this objective has been achieved in certain cases through trial and error, a systematic means of doing so is currently lacking. For certain physical phenomena at specific length scales, the governing equations are known and the only barrier to achieving the aforementioned goal is the development of appropriate methods to attack the problem.
KeywordsPermeability Anisotropy Covariance Sandstone Posite
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- M.P. Bendsøe, Optimization of Structural Topology, Shape and Material, Springer-Verlag, Berlin, 1995.Google Scholar
- S. Torquato, S. Hyun, and A. Donev, “Multifunctional composites: optimizing microstructures for simultaneous transport of heat and electricity”, Phys. Rev. Lett., 89,266601, 1–4, 2002.Google Scholar
- M.P. Bendsøe and O. Sigmund, Topology Optimization, Springer-Verlag, Berlin, 2003.Google Scholar
- U.D. Larsen, O. Sigmund, and S. Bouwstra, “Design and fabrication of compliant mechanisms and material structures with negative Poisson’s ratio”, J. Micro electromechanical Systems, 6(2), 99–106, 1997.Google Scholar
- M.Y. Joshi, A Class of Stochastic Models for Porous Media, Ph.D. thesis, University of Kansas, Lawrence, 1974.Google Scholar
- P.M. Adler, Porous Media — Geometry and Transports, Butterworth-Heinemann, Boston, 1992.Google Scholar
- J.R. Crawford, S. Torquato, and F.H. Stillinger, “Aspects of correlation function realizability”, J. Chem. Phys., 2003.Google Scholar