Open Access
Mechanics & Industry
Volume 18, Number 2, 2017
Article Number 214
Number of page(s) 5
Published online 17 February 2017
  1. G.W. Milton, N. Phan-Thien, New bounds on effective elastic moduli of two-component materials, Proc. Royal Soc. London. Series A 380 (1982) 305–331 [CrossRef] [Google Scholar]
  2. J. Widjajakusuma, B. Biswal, R. Hilfer, Quantitative prediction of effective material properties of heterogeneous media, Comput. Mater. Sci. 16 (1999) 70–75 [CrossRef] [Google Scholar]
  3. Z. Hashin, S. Shtrikman, On some variational principles in anisotropic and nonhomogeneous elasticity, J. Mecha. Phys. Solids 10 (1962) 335–342 [CrossRef] [MathSciNet] [Google Scholar]
  4. J.R. Willis, Bounds and self-consistent estimates for the overall properties of anisotropic composites, J. Mech. Phys. Solids 2 (1977) 185–202 [CrossRef] [Google Scholar]
  5. Z. Hashin, S. Shtrikman, A variational approach to the theory of the elastic behaviour of polycrystals, J. Mech. Phys. Solids 10 (1962) 343–352 [CrossRef] [MathSciNet] [Google Scholar]
  6. C. Huet, Application of variational concepts to size effects in elastic heterogeneous bodies, J. Mech. Phys. Solids 38 (1990) 813–841 [CrossRef] [Google Scholar]
  7. M. Ostoja-Starzewski, Material spatial randomness: From statistical to representative volume element, Probabilistic Eng. Mech. 21 (2006) 112–132 [CrossRef] [Google Scholar]
  8. S. Brisard, K. Sab, L. Dormieux, New boundary conditions for the computation of the apparent stiffness of statistical volume elements, J. Mech. Phys. Solids 61 (2013) 2638–2658 [CrossRef] [Google Scholar]
  9. J. Korringa, Theory of elastic constants of heterogeneous media, J. Math. Phys. 14 (1973) 509–513 [CrossRef] [Google Scholar]
  10. R. Zeller, P.H. Dederichs, Elastic constants of polycrystals, Phys. Status Solidi B 55 (1973) 831–842 [CrossRef] [Google Scholar]
  11. E. Kröner, On the physics and mathematics of self-stresses. In: Topics in Applied Continuum Mechanics, edited by J.L. Zeman, F. Ziegler, Springer Verlag Wien, 1974, pp. 22–38 [Google Scholar]
  12. T. Kanit, S. Forest, I. Galliet, V. Mounoury, D. Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, Int. J. Solids Struct. 40 (2003) 3647–3679 [CrossRef] [Google Scholar]
  13. P. Ponte Castañeda, J.R. Willis, The effect of spatial distribution on the effective behavior of composite materials and cracked media, J. Mech. Phys. Solids 43 (1995) 1919–1951 [CrossRef] [MathSciNet] [Google Scholar]
  14. S. Torquato, Effective stiffness tensor of composite media–I, Exact series expansions, J. Mech. Phys. Solids 45 (1997) 1421–1448 [CrossRef] [MathSciNet] [Google Scholar]

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