Functional methods and effective potentials for nonlinear composites

DOI10.1016/S0022-5096(99)00040-XzbMath0987.74010arXivcond-mat/9907273MaRDI QIDQ1573237

Gilles Perrin, Yves-Patrick Pellegrini, Marc Barthélémy

Publication date: 27 June 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9907273

zbMATH Keywords

microstructurevariational principlespath integralminimization problemfunctional integralsrandom compositeeffective potentialsviscoplastic potentiallocal plastic potentialsweak-disorder perturbative expansion

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Random materials and composite materials (74A40)

Related Items (1)

Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory

Cites Work

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• The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites
• Variational Principles for Inhomogeneous Non-linear Media
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Nonlinear electrical conductivity in heterogeneous media

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