A differential scheme for the effective moduli of composites

Keywords

Moduli, Composite number, Realizability, Mathematics, Composite material

References

• Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des EinkristallsEkkehart Kr�ner — 1958
• On the overall elastic moduli of composite materialsL. J. Walpole — 1969
• On the Effective Moduli of Isotropic Two-Phase Elastic CompositesSarah Boucher — 1974
• Elastic moduli of a solid with spherical pores: New self-consistent methodRobert W. Zimmerman — 1984
• Overall moduli of solids with microcracks: Load-induced anisotropyHideyuki Horii, Sia Nemat‐Nasser — 1983
• The Elastic Properties of Composite MaterialsJ. Peter Watt, Geoffrey F. Davies, Richard J. O’Connell — 1976
• Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen SubstanzenD. A. G. Bruggeman — 1935
• Self‐consistent imbedding and the ellipsoidal model for porous rocksJ. Korringa, R. James Brown, Don D. Thompson — 1979
• Elastic properties of reinforced solids: some theoretical principlesR. Hill — 1963
• Continuum micro-mechanics of elastoplastic polycrystalsR. Hill — 1965
• Concerning bounds on the transport and mechanical properties of multicomponent composite materialsGraeme W. Milton — 1981
• Micromechanics of defects in solidsT. Mura — 1982
• On composites with periodic structureSia Nemat‐Nasser, Tetsuo IWAKUMA, M. Hejazi — 1982
• The viscosity of suspensions of rigid spheresR. Roscoe — 1952
• Long‐wavelength propagation in composite elastic media I. Spherical inclusionsJames G. Berryman — 1980
• Velocity and attenuation of seismic waves in two-phase media; Part I, Theoretical formulationsGuy T. Kuster, M. Nafi Toksöz — 1974
• Crack-induced anisotropy and scattering in stressed rocks: Effective elastic moduli and attenuationMonique Piau — 1980
• A study of the differential scheme for composite materialsRichard N. McLaughlin — 1977
• Theory of elastic constants of heterogeneous mediaJ. Korringa — 1973
• On bounds for the overall elastic moduli of inhomogeneous systems—IL. J. Walpole — 1966

Cited by

• Numerical Validation of Analytical Homogenization Models for the Case of Randomly Distributed and Oriented Ellipsoidal Fibers Reinforced CompositesElias Ghossein — 2014
• The Rock Physics HandbookGary Mavko, Tapan Mukerji, Jack Dvorkin — 1998
• Contribution à l'homogénéisation de matériaux hétérogènes viscoélastiques : milieux aléatoires et périodiques et prise en compte des interfacesDuc Hieu Hoang — 2011
• Homogenization Methods to Approximate theEffective Response of RandomFibre-reinforced CompositesNatasha Willoughby, William J. Parnell, Andrew L. Hazel — 2012
• A Multiscale Meshfree Approach for Modeling Fragment Penetration into Ultra High-Strength ConcreteJ. S. Chen, Wei Sha, C. H. Lee — 2011
• Modélisation micromécanique du comportement de milieux poreux non linéaires : applications aux argiles compactéesSalma Barboura — 2007
• Du terrain au laboratoire, étude des propriétés élastiques du basalteM. Adelinet — 2010
• Numerical Characterization of Porous Solids and Performance Evaluation of Theoretical Models via the Precorrected-FFT Accelerated BEMZai You Yan, Jiheng Zhang, Wenjing Ye — 2010
• Micromecanical model : correlation between hydraulic and acoustic parameters of cement-based materialsSirine Maalej, LAFHAJ, Zoubeir, BOUASSIDA, Mounir — 2010
• Bounds on geomechanical constants for a model of heterogeneous reservoirsJames G. Berryman — 2004
• Variational Asymptotic Micromechanics Modeling of Composite MaterialsTian Tang — 2008
• Permeability of Microcracked Solids with Random Crack Networks: Role of Connectivity and Opening ApertureLe Li, Kefei Li — 2015
• A generalized plane strain technique for estimating effective properties of particulate metal matrix composites using FEMN. Ramakrishnan, Atul Kumar, B. V. Radhakrishna Bhat — 1996
• Numerical and experimental investigation of deformation and strength properties of lithophysae -rich tuff and analog materialsB. B. Avar — 2001
• Particulate Systems with Viscous and Viscoelastic Cement: From Contact Laws to Macroscopic BehaviorJ. Dvorkin — 1998
• Frequency dependent thermal expansion in binary viscoelastic compositesJames G. Berryman — 2008
• Modélisation multi-échelles du comportement et du vieillissement des mousses syntactiques immergéesAnouar Brini — 2004
• Multi-level homogenization of strength properties of hierarchical-organized matrix–inclusion materialsRoland Traxl, Roman Lackner — 2015
• The effect of stress, pore fluid and pore structure on elastic wave velocities in sandstonesEmmanuel C. David — 2012
• Dynamic homogenization for the elastic properties of periodic and random compositesNatasha Willoughby — 2013

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