Some engineering and mathematical aspects on the homogenization method

Bakhvalov, 1989 Cherkaev, 1993, Coupled estimates for the bulk and shear moduli of a two dimensional isotropic elastic composite, J. Mech. Phys. Solids, 41, 937, 10.1016/0022-5096(93)90006-2 Christensen, 1979 Dal Maso, 1993 Fung, 1965 Hashin, 1965, On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry, J. Mech. Phys. Solids, 13, 119, 10.1016/0022-5096(65)90015-3 Hashin, 1963, A variational approach to the theory of the elastic behaviour of multiphase materials, J. Mech. Phys. Solids, 11, 127, 10.1016/0022-5096(63)90060-7 Hill, 1963, Elastic properties of reinforced solids: some theoretical principles, J. Mech. Phys. Solids, 11, 357, 10.1016/0022-5096(63)90036-X Hollister, 1992, A comparison of homogenization and standard mechanics analyses for periodic porous composites, Computational Mechanics, 10, 73, 10.1007/BF00369853 Holmbom, 1992, A homogenization procedure for computing effective moduli and microstresses in elastic composite materials, Compos. Engng, 2, 249, 10.1016/0961-9526(92)90008-T Milton, 1990, On characterizing the set of possible effective tensors of composites: The variational method and the translation method, Communications on Pure and Applied Mathematics, XLIII, 63, 10.1002/cpa.3160430104 Milton, 1988, Variational bounds on the effective moduli of anisotropic composites, J. Mech. Phys. Solids, 36, 597, 10.1016/0022-5096(88)90001-4 Persson, 1993 Persson, 1993, A note on homogenization methods, 145 Sanchez-Palencia, 1980, Non Homogeneous Media and Vibration Theory, 127 Spagnolo, 1968, Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Sc. Norm. Sup. Pisa, 22, 577 Tartar, 1977