Universal material property in conductivity of planar random microstructures | Zendy

Martin OstojaStarzewski | Zendy

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Universal material property in conductivity of planar random microstructures

Author(s) -

Martin OstojaStarzewski

Publication year - 2000

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.62.2980

Subject(s) - scaling , materials science , planar , voronoi diagram , volume fraction , conductivity , microstructure , electrical resistivity and conductivity , boundary value problem , invariant (physics) , condensed matter physics , phase (matter) , mathematical analysis , geometry , physics , mathematics , composite material , quantum mechanics , computer graphics (images) , computer science

We study scatter involved in finite-size scaling of the conductivity and resistivity tensors resulting, respectively, from uniform essential and natural boundary conditions applied to domains that are finite relative to the size of a heterogeneity. For various types of planar microstructures generated from Poisson processes ~multiphase Voronoi mosaics, composites with circular or needlelike inclusions, etc.! we report a universal property: the coefficient of variation of the second invariant stays practically constant at about 0.5560.1, irrespective of the domain size, the boundary conditions applied to it, the contrast, and the volume fraction of either phase.

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