Joule-heating field phase-amplification in particulate-doped dielectrics

International Journal of Engineering Science

Volumn 49, Issue 1, 2011, Pages 30-40

  Zohdi, T I ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Dielectrics; Particulates; Phase field amplification

Indexed keywords

CONDUCTIVITY MATRICES; CURRENT OVERLOADS; DIELECTRICS; ELECTRICAL FIELD; ELECTRICAL LOADING; ELECTRONIC DEVICE; HETEROGENEOUS MEDIA; INNER PRODUCT; MATERIAL SYSTEMS; MATRIX; PARTICULATES; PHASE FIELDS; STORAGE DEVICES; ULTRACAPACITORS;

AMPLIFICATION; DOPING (ADDITIVES); ELECTRIC FIELDS; HEATING;

DIELECTRIC MATERIALS;

EID: 78649636119     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.06.021     Document Type: Article

References (20)

1. D.J. Bergman The dielectric constant of a composite material - a problem in classical physics Phys. Rep. C 43 1978 377
2. D. Cule, and S. Torquato Electric-field distribution in composite media Phys. Rev. B 58 1998 R11829
3. Z. Hashin, and S. Shtrikman A variational approach to the theory of effective magnetic permeability of multiphase materials J. Appl. Phys. 33 10 1962 3125 3131
4. Z. Hashin Analysis of composite materials: a survey ASME J. Appl. Mech. 50 1983 481 505
5. R. Hill The elastic behaviour of a crystalline aggregate Proc. Phys. Soc. (Lond.) A65 1952 349 354
6. V.V. Jikov, S.M. Kozlov, and O.A. Olenik Homogenization of Differential Operators and Integral Functionals 1994 Springer-Verlag
7. W. Kreher, and W. Pompe Internal Stresses in Heterogeneous Solids 1989 Akademie-Verlag Berlin
8. E. Kröner Statistical Continuum Mechanics CISM Lecture Notes vol. 92 1972 Springer-Verlag
9. T. Mura Micromechanics of Defects in Solids second ed. 1993 Kluwer Academic Publishers
10. S. Nemat-Nasser, and M. Hori Micromechanics: Overall Properties of Heterogeneous Solids second ed. 1999 Elsevier Amsterdam
11. R. Lipton Optimal bounds on electric-field fluctuations for random composites J. Appl. Phys. 88 2000 4287 4293
12. R. Lipton Assessment of the local stress state through macroscopic variables Philos. Trans. Math., Phys. Eng. Sci. 361 2003 921 946
13. R. Lipton Optimal lower bounds on the electric-field concentration in composite media J. Appl. Phys. 96 2004 2821 2827
14. R. Lipton Optimal lower bounds on the dilatational strain inside random two-phase elastic composites subjected to hydrostatic loading Mech. Materials 38 2006 833 839
15. I. Sevostianov, L. Gorbatikh, and M. Kachanov Recovery of information of porous/microcracked materials from the effective elastic / conductive properties Mater. Sci. Eng. A 318 2001 1 14
16. S. Torquato Random Heterogeneous Materials: Microstructure & Macroscopic Properties 2002 Springer-Verlag
17. O. Wiener, Zur Theorie der Refraktionskonstanten. Berichteüber die Verhandlungen der Königlich-Sächsischen Gesellschaft der Wissenshaften zu Leipzig. vol. Math.-phys Klasses, Band 62, 1910, pp 256-277.
18. T.I. Zohdi Genetic optimization of statistically uncertain microheterogeneous solids Philos. Trans. Roy. Soc.: Math., Phys. Eng. Sci. 361 1806 2003 1021 1043
19. T.I. Zohdi On the computation of the coupled thermo-electromagnetic response of continua with particulate microstructure Int. J. Numer. Meth. Eng. 76 2008 1250 1279
20. T.I. Zohdi, and P. Wriggers Introduction to Computational Micromechanics Second Reprinting 2008 Springer-Verlag