Variational Principles for Inhomogeneous Non-linear Media

Keywords

Linear elasticity, Free energy principle, Variational principle, Mathematics, Elasticity (physics)

References

• Complementary Variational PrinciplesM. Walmsley, A. M. Arthurs — 1970
• Convex analysis and variational problemsEkeland, Ivar 1944-, Temam, Roger 1940- — 1976
• On Dual Extremum Principles in Applied Mathematics.Ben Noble, Michael Sewell — 1972
• Variational principles for dynamic problems for inhomogeneous elastic mediaJ.R. Willis — 1981
• The overall elastic response of composite materialsJ.R. Willis — 1983
• Variational principles and operator equations for electromagnetic waves in inhomogeneous mediaJ.R. Willis — 1984
• Bounds and self-consistent estimates for the overall properties of anisotropic compositesJ.R. Willis — 1977
• On some variational principles in anisotropic and nonhomogeneous elasticityZvi Hashin, S. Shtrikman — 1962
• Elasticity Theory of CompositesJ. Willis — 1982
• Variational Estimates for the Overall Response of an Inhomogeneous Nonlinear DielectricJ. Willis — 1986
• Variational and Related Methods for the Overall Properties of CompositesJ. Willis — 1981

Cited by

• Recent developments in numerical homogenizationDaniela P. Boso, Marek Lefik, Bernhard A. Schrefler — 2009
• Bounds and estimates on the effective properties for nonlinear compositesPeter Wall — 2000
• Modélisation micromécanique et caractérisation expérimentale du comportement des matériaux hétérogènes élastoviscoplastiques : application à la valorisation des polymères recyclésMamadou Coulibaly — 2008
• Vers un pont micro-méso de la rupture en compression des composites stratifiésNicolas Feld — 2011
• On the effective behavior, microstructure evolution, and macroscopic stability of elastomeric compositesOscar Lopez‐Pamies — 2006
• Macroscopic strain potentials in nonlinear porous materialsYi Liu, Huang Zhuping — 2003
• Modélisation micromécanique du comportement de milieux poreux non linéaires : applications aux argiles compactéesSalma Barboura — 2007
• Localization of Deformation in Heterogeneous Solids Deformed at High Strain RatesBryan Love, R.C. Batra — 2005
• Dielectric breakdown: optimal boundsAdriana Garroni, Vincenzo Nesi, Marcello Ponsiglione — 2001
• Overall Mechanical Response of Soft Composite Materials with Particulate Microstructure at Finite StrainsR. Avazmohammadi — 2014
• Mechanics of Random and Multiscale MicrostructuresDominique Jeulin, Martin Ostoja‐Starzewski — 2001
• Non-linear numerical homogenization : application to elasto-plastic materialsYounis Khalid Khdir — 2014
• Mikromechaniczne modelowanie metali i stopów o wysokiej wytrzymałości właściwejK. Kowalczyk-Gajewska — 2011
• Non-linear homogenization of magnetorheological elastomers at finite strainEvan Galipeau — 2012
• Morphologie microstructurale et comportement mécanique ; caractérisations expérimentales, approches par bornes et estimations autocohérentes généralisées.Michel Bornert — 1996
• Numerical Simulation of the Thermal and Thermomechanical Behaviour of Metal Matrix CompositesS. Tenorio — 2008
• Application of the multiscale FEM to the modeling of nonlinear multiphase materialsSandra Ilić, Klaus Hackl — 2009
• Comportement macroscopique et statistiques des champs dans les composites viscoplastiques.M. I. Idiart — 2006
• Duality Relations for Non-Ohmic Composites, with Applications to Behavior near PercolationOhad Levy, Robert V. Kohn — 1998
• Variational homogenization in electro-mechanics : from micro-electro-elasticity to electroactive polymersDominic Zäh — 2014

Related papers

• Variational Principles with Mixed Variables in Theory of Elasticity with Finite DisplacementFu Bao-lian — 2004
• Some Problems in the Theory of Nonconservative ElasticityQihao Zhang, Liu Dian-kui — 1986