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Assessment of the Self Consistent Scheme Approximation: Conductivity of Particulate Composites
Abstract
The "self consistent scheme" method of approximation for analysis of effective properties of particulate composites is gen eralized. Thereby is removed an arbitrary assumption underlying current versions of this method. Specific results are given for effec tive conductivity of particulate composites. It is shown that within the present generalized frame the "self consistent scheme" does not yield more information than existing rigorous best possible bounds for effective conductivity of two phase materials of arbitrary phase geometry, derived by Hashin and Shtrikman.
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Citations
Cited by
Solutions for effective shear properties in three phase sphere and cylinder models
Christensen, R. M., & Lo, K. H. (1979) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(79)90032-2 · Cited by 2,119
Analytical Formulas for Interfacial Transition Zone Properties
Garboczi, E. (1997) · Advanced Cement Based Materials · doi:10.1016/s1065-7355(97)81592-1 · Cited by 294
Thermal Conductivity of Aluminum Alloys—A Review
Zhang, A., & Li, Y. (2023) · Materials · doi:10.3390/ma16082972 · Cited by 291
Surface Chemistry Mediates Thermal Transport in Three-Dimensional Nanocrystal Arrays
Ong, W.-L., Rupich, S. M., Talapin, D. V., McGaughey, A. J. H., & Malen, J. A. (2013) · Nature Materials · doi:10.1038/nmat3596 · Cited by 249
Inagaki, T., Ahmed, B., Hartley, I. D., Tsuchikawa, S., & Reid, M. (2014) · Journal of Infrared, Millimeter, and Terahertz Waves · doi:10.1007/s10762-014-0095-7 · Cited by 53
Metadata
- Authors
- Hashin, Z.
- Venue
- Journal of Composite Materials
- Publisher
- SAGE Publications
- Published
- 1968-07
- Volume
- 2
- Issue
- 3
- Pages
- 284-300
- ISSN
- 0021-9983 (ISSN-L)
- 1530-793X
- OpenAlex
- W1966577889
- Cited by
- 356
- References
- 0
- FWCI
- 4.58
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hashin, Z. (1968). Assessment of the Self Consistent Scheme Approximation: Conductivity of Particulate Composites. Journal of Composite Materials. https://doi.org/10.1177/002199836800200302
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