Inequalities for electric and elastic polarization tensors with applications to random composites
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Publication:1261039
DOI10.1016/0022-5096(93)90001-VzbMath0797.73046MaRDI QIDQ1261039
Publication date: 29 August 1993
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
characteristic functionboundsaverage polarizationdilute statistically anisotropic random suspensionseffective transport propertiesgeneralized inclusions
Composite and mixture properties (74E30) Electromagnetic effects in solid mechanics (74F15) Random materials and composite materials (74A40)
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Cites Work
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- G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates
- Homogenization and optimal bounds in linear elasticity
- Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials
- Variational bounds on the effective moduli of anisotropic composites
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Elastic moduli of perfectly disordered composite materials
- Formulae for Dielectric Constant of Mixtures
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Iterated homogenization, differential effective medium theory and applications
- On the effective elasticity of a two-dimensional homogenised incompressible elastic composite
- The elastic field of an inclusion in an anisotropic medium