Homogenization techniques for linear dielectric random composite materials in stationary conditions

International Journal of Applied Electromagnetics and Mechanics

Volumn 11, Issue 3, 2000, Pages 163-178

  Luciano, Raimondo ^a   Tamburrino, Antonello ^a  

^a UNIVERSITY OF CASSINO AND SOUTHERN LAZIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DIELECTRIC MATERIALS; FOURIER TRANSFORMS; INCLUSIONS; NUMERICAL METHODS; PROBABILITY DENSITY FUNCTION; VARIATIONAL TECHNIQUES;

HOMOGENIZATION TECHNIQUES; HOMOGENIZED DIELECTRIC CONSTITUTIVE EQUATIONS; LINEAR DIELECTRIC RANDOM COMPOSITE MATERIALS; MACROSCOPIC CHARGE DENSITY; SPACE DOMAIN; VARIATIONAL PRINCIPLE;

COMPOSITE MATERIALS;

EID: 0034470505     PISSN: 13835416     EISSN: None     Source Type: Journal    
DOI: 10.3233/jae-2000-179     Document Type: Article

References (15)

1. J. Aboudi, Mechanics of composite materials: a unified micromechanical approach, Elsevier, Amsterdam, 1991.
2. A. Bensoussan, J.L. Lions and G. Papanicolau, Asymptotic methods for periodic structures, North Holland, Amsterdam, 1978.
3. P. Bisegna and R. Luciano, On methods for bounding the overall properties of piezoelectric fibrous composites, Journal Mechanics Physics and Solids 45(8) (1997), 1329-1356.
4. A. Bossavit, Effective penetration depth in spatially periodic grids: a novel approach to homogenization, International Symposium on Electromagnetic Compatibility, Rome, Italy, September 13-16, 1994.
5. M. El. Feddi, Z. Ren, A. Razek and A. Bossavit, Homogenization technique for Maxwell equations in periodic structures, IEEE Transactions on Magnetics 33(2) (1997), 1382-1385.
6. Z. Hashin and S. Shtrikman, On some variational principles in anisotropic and nonhomogeneous elasticity, J. Mech. Phys. Solids 10 (1962), 335-342.
7. Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behavior of multiphase materials, J. Mech Phys. Solids 11 (1962), 127-140.
8. Z. Hashin and S. Shtrikman, A variational approach to the theory of the effective magnetic permeability of multiphase materials, J. Appl. Phys. 33 (1962), 3125-3131.
9. R. Luciano and A. Tamburrino, Quaderni di Dipartimento, DAEIMI, Università di Cassino, July 2000.
10. K.Z. Markov and J.R. Willis, On the two-point correlation function for dispersions of nonoverlapping spheres, Math. Models and Methods in Applied Sciences 8(2) (1998), 359-377.
11. T. Mura, Micromechanics of defects in solids, Martinus Nijhoff, Dordrecht, 1987.
12. Nemat-Nasser and H. Hori, Micromechanics: overall properties of heterogeneous materials, North-Holland Series in Applied Mathematics and Mechanics, Amsterdam, 1993.
13. Vernitron, Five Modern Piezoelectric ceramics. Bullettin of Morgan Matroc Ltd, Vernitron Piezoelectric Division, Bedford, Ohio, 1993.
14. J.R. Willis, Variational and related methods for the overall properties of composites, in: Advanced in Applied Mechanics, (Vol. 21), C.S. Yih, ed., Academic Press, New York, 1981, pp. 1-78.
15. J.R. Willis, Elasticity theory of composites, Mechanics of Solids: The R. Hill 60th Anniversary, H.G. Hopkins and M.J. and Sewell, eds., Pergamon Press, Oxford, 1982, pp. 653-686.