Unified formulae of variational bounds for multiphase anisotropic elastic composites

DOI10.1007/s00419-007-0197-yzbMath1168.74425OpenAlexW2066331397WikidataQ59157513 ScholiaQ59157513MaRDI QIDQ835410

Julián Bravo-Castillero, Humberto Brito-Santana, Federico J. Sabina, Gérard A. Maugin, Reinaldo Rodríguez-Ramos, Raúl Guinovart-Díaz

Publication date: 28 August 2009

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-007-0197-y

zbMATH Keywords

homogenizationvariational boundseffective propertiesmultiphase composites

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05)

Cites Work

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• A variational approach to the theory of the elastic behaviour of multiphase materials
• Bounds for effective elastic moduli of disordered materials
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• Multiphase composites with extremal bulk modulus
• Effective stiffness tensor of composite media. II: Applications to isotropic dispersions
• Variational principles for nonlinear piezoelectric materials
• On bounds for the overall elastic moduli of inhomogeneous systems. I
• An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• New bounds on effective elastic moduli of two-component materials
• Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents. I: Elastic and hexagonal symmetry