The effective dielectric coefficient of a composite medium: Rigorous bounds from analytic properties. (English) Zbl 0649.73049
Homogenization and effective moduli of materials and media, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 1, 27-51 (1986).
[For the entire collection see Zbl 0622.00024.]
The objective of this contribution may be described in the following manner. Let us consider a composite material made of n\(+1\) pure isotropic components (with dielectric coefficients \(\epsilon_ 1,...,\epsilon_{n+1}\) respectively) that completely fills the volume of a large parallel plate condensor. Under appropriate boundary conditions bounds on the bulk effective dielectric coefficient \(\epsilon_ e\) are given. Both a two-component composite and a composite with more than two components are investigated in the real and complex cases.
The paper will surely appeal to physically oriented researchers searching for effective properties of composite dielectric materials.
The reader may also consult the following paper of G. W. Milton, R. V. Kohn, Variational bounds on the effective moduli of anisotropic composites, J. Mech. Phys. Solids, 36, 597-629 (1988).
The objective of this contribution may be described in the following manner. Let us consider a composite material made of n\(+1\) pure isotropic components (with dielectric coefficients \(\epsilon_ 1,...,\epsilon_{n+1}\) respectively) that completely fills the volume of a large parallel plate condensor. Under appropriate boundary conditions bounds on the bulk effective dielectric coefficient \(\epsilon_ e\) are given. Both a two-component composite and a composite with more than two components are investigated in the real and complex cases.
The paper will surely appeal to physically oriented researchers searching for effective properties of composite dielectric materials.
The reader may also consult the following paper of G. W. Milton, R. V. Kohn, Variational bounds on the effective moduli of anisotropic composites, J. Mech. Phys. Solids, 36, 597-629 (1988).
Reviewer: J.J.Telega
MSC:
| 74F15 | Electromagnetic effects in solid mechanics |
| 74E05 | Inhomogeneity in solid mechanics |
| 74E30 | Composite and mixture properties |
