Isotropic composites with elastic or viscoelastic phases: General bounds for the moduli and solutions for special geometries

Keywords

Moduli, Isotropy, Tangent, Viscoelasticity, Isotropic solid

References

• Progress in solid mechanicsI. N. Sneddon, Rodney Hill — 1963
• Elastic properties of reinforced solids: some theoretical principlesR. Hill — 1963
• The Viscosity of Concentrated Suspensions and SolutionsH. Brinkman — 1952
• The viscosity of suspensions of rigid spheresR. Roscoe — 1952
• On bounds for the overall elastic moduli of inhomogeneous systems—IL. J. Walpole — 1966
• A variational approach to the theory of the elastic behaviour of multiphase materialsZvi Hashin, S. Shtrikman — 1963
• Improved bounds for real and imaginary parts of complex moduli of isotropic viscoelastic compositesR. Roscoe — 1972
• The Elastic Moduli of Heterogeneous MaterialsZvi Hashin — 1962
• THE ELASTIC BEHAVIOUR OF A SUSPENSION OF SPHERICAL PARTICLESL. J. Walpole — 1972

Cited by

• A comparative study on homogenization strategies for multi-scale analysis of materialsJosé María Ortolano González, Joaquín Alberto Hernández Ortega, J. Oliver — 2013
• Modelling effective properties of composite materials using the inclusion concept. General considerationsPascal Viéville, Anne-Sophie Bonnet, P. Lipiński — 2006
• Prediction of mechanical behaviour of inhomogeneous and anisotropic materials using an incremental schemeA. Broohm, Patrick Zattarin, P. Lipiński — 2000
• Maximum entropy-based stochastic micromechanical model for a two-phase composite considering the inter-particle interaction effectHuixin Zhu, Q. Chen, J. W. Ju — 2015
• Mehrskalenmodelle in der Festkörpermechanik und Kopplung von Mehrgittermethoden mit HomogenisierungsverfahrenClaus G. Bayreuther — 2005
• Inclusions of arbitrary shape in an elastic mediumF. C. Chen, Kim Jin Young — 1977
• Dynamic mechanical behavior of binary blends polyethylene/EPDM rubber and polypropylene/EPDM rubberJan Kolařı́k, Giri L. Agrawal, Zdenêk Kruliš — 1986
• Differential multiphase models for polydispersed suspensions and particulate solidsN. Phan‐Thien, D.C Pham — 1997
• Modelling the anisotropic seismic properties of partially molten rocks found at mid-ocean ridgesDavid Mainprice — 1997
• The effective properties of a perforated elastic plate Numerical optimization by genetic algorithmShmuel Vigdergauz — 2001
• Elastic moduli of gray and ductile cast ironsLallit Anand — 1982
• New solutions for effective elastic moduli of microcracked solidsLianxi Shen, Sung Yi — 2000
• A Three-Dimensional Statistical Micromechanical Theory for Brittle Solids with Interacting MicrocracksJ. W. Ju, K. H. Tseng — 1992
• Filled elastomers: A theory of filler reinforcement based on hydrodynamic and interphasial effectsTaha Goudarzi, Daniel W. Spring, Gláucio H. Paulino — 2015
• New models for effective Young's modulus of particulate compositesRajinder Pal — 2005
• Bounds for the Elastic Shear Moduli of Isotropic and Quasi-Symmetric Composites, and Exact Modulus of the Coated Sphere AssemblageDuc Chinm Pham — 1999
• On composites with periodic structureSia Nemat‐Nasser, Tetsuo IWAKUMA, M. Hejazi — 1982
• Application of hp-Adaptive Finite Element Method to Two-Scale ComputationMarta Oleksy, Witold Cecot — 2015
• A study of the differential scheme for composite materialsRichard N. McLaughlin — 1977
• On application of classical Eshelby approach to calculating effective elastic moduli of dispersed compositesК. Б. Устинов, R. V. Goldstein — 2007

Related papers

• Restrictions Upon Viscoelastic Relaxation Functions and Complex ModuliRichard M. Christensen — 1972
• Determination of complex moduli of isotropic viscoelastic materialsAlexander Muravyov — 1999
• Bounds for the real and imaginary parts of the dynamic moduli of composite viscoelastic systemsR. Roscoe — 1969
• Universal motions for a class of viscoelastic materials of differential typeMillard F. Beatty, Zhengxin Zhou — 1991
• Asymptotic Homogenization Method Applied to Linear Viscoelastic Composites. ExamplesI. Urrutia-Romaní, Reinaldo Rodrı́guez-Ramos, Julián Bravo‐Castillero — 2004
• Observed deviations from isotropic linear viscoelastic behavior of asphalt concrete through modal testingAnders Gudmarsson, Nils Rydén, Björn Birgisson — 2014
• The significance of (an)isotropic viscoelastic Poisson ratio stress and time dependenciesHarry H. Hilton, Sung Yi — 1998
• Compressibility and shear compliance of spheroidal pores: Exact derivation via the Eshelby tensor, and asymptotic expressions in limiting casesEmmanuel C. David, Robert W. Zimmerman — 2011
• Two-dimensional dynamical problems for incompressible isotropic linear elastic solids with time dependent moduli and variable densityJ. J. Golecki, Alan Jeffrey — 1968