Recovery of inclusion separations in strongly heterogeneous composites from effective property measurements

DOI10.1098/rspa.2011.0527zbMath1364.74011OpenAlexW2145571637MaRDI QIDQ5345928

Chris Orum, Elena Cherkaev, Kenneth M. Golden

Publication date: 7 June 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2011.0527

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Random materials and composite materials (74A40) Analysis of microstructure in solids (74N15)

Related Items (5)

Reconstructing Stieltjes Functions from Their Approximate Values: A Search for a Needle in a Haystack ⋮ Spectroscopic conductivity imaging of a cell culture ⋮ Internal resonances and relaxation memory kernels in composites ⋮ On applications of Herglotz-Nevanlinna functions in material sciences. II: Extended applications and generalized theory ⋮ The Ising model and critical behavior of transport in binary composite media

Cites Work

• Reconstruction of spectral function from effective permittivity of a composite material using rational function approximations
• Bounds on the complex permittivity of a multicomponent material
• Multicomponent composites, electrical networks and new types of continued fraction. I
• Multicomponent composites, electrical networks and new types of continued fraction. II
• Inverse homogenization for evaluation of effective properties of a mixture
• Representations for the conductivity functions of multicomponent composites
• Dehomogenization: reconstruction of moments of the spectral measure of the composite
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Inverse bounds for microstructural parameters of composite media derived from complex permittivity measurements
• Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
• The Theory of Composites

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