Bounds for effective parameters of heterogeneous media by analytic continuation
作者： K. Golden , G. Papanicolaou
DOI: 10.1007/BF01216179
关键词:
摘要: We give a mathematical formulation of method for obtaining bounds on effective parameters developed by D. Bergman and G. W. Milton. This method, in contrast to others used before, does not rely variational principle, but exploits the properties parameter as an analytic function component parameters. The is at present restricted two-component media.
springer.com
harvard.edu
sci-hub.se 参考文章(23)
J.R. Willis, Variational and Related Methods for the Overall Properties of Composites Advances in Applied Mechanics. ,vol. 21, pp. 1- 78 ,(1981) , 10.1016/S0065-2156(08)70330-2
G. W. Milton, R. C. McPhedran, A comparison of two methods for deriving bounds on the effective conductivity of composites LNP. ,vol. 154, pp. 183- 193 ,(1982) , 10.1007/3-540-11202-2_13
W. Kohler, G. C. Papanicolaou, Bounds for the effective conductivity of random media Macroscopic Properties of Disordered Media. ,vol. 154, pp. 111- 130 ,(1982) , 10.1007/3-540-11202-2_9
David J. Bergman, Resonances in the bulk properties of composite media — theory and applications Macroscopic Properties of Disordered Media. ,vol. 154, pp. 10- 37 ,(1982) , 10.1007/3-540-11202-2_2
Stephen Hoffman, N. I. Akhiezer, The Classical Moment Problem. American Mathematical Monthly. ,vol. 75, pp. 100- ,(1968) , 10.2307/2315170
G. W. Milton, Bounds on the complex permittivity of a two‐component composite material Journal of Applied Physics. ,vol. 52, pp. 5286- 5293 ,(1981) , 10.1063/1.329385
David J. Bergman, Bounds for the complex dielectric constant of a two-component composite material Physical Review B. ,vol. 23, pp. 3058- 3065 ,(1981) , 10.1103/PHYSREVB.23.3058
G. W. Milton, Bounds on the transport and optical properties of a two‐component composite material Journal of Applied Physics. ,vol. 52, pp. 5294- 5304 ,(1981) , 10.1063/1.329386
David J. Bergman, Exactly Solvable Microscopic Geometries and Rigorous Bounds for the Complex Dielectric Constant of a Two-Component Composite Material. Physical Review Letters. ,vol. 44, pp. 1285- 1287 ,(1980) , 10.1103/PHYSREVLETT.44.1285
David J. Bergman, The dielectric constant of a composite material—A problem in classical physics Physics Reports. ,vol. 43, pp. 377- 407 ,(1978) , 10.1016/0370-1573(78)90009-1