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Conductivity of composites with multiple polygonal aggregates, theoretical estimates and numerical solutions from polarization series
- Source :
- International Journal of Engineering Science. 123:109-116
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- In this paper, we estimates the effective conductivity of heterogeneous materials constituted aggregates of different polygonal shapes mixed with a matrix material. The problem is considered in the context of periodic homogenization theory. The local problem is formulated using the Lippmann–Schwinger equation of polarization with optimal operator norm. The equation can be used to derive a Fast Fourier Transform (FFT) based iteration scheme and theoretical estimates of the overall properties. When applied to microstructure with polygonal inclusion, the results show a very good agreement between those approaches.
- Subjects :
- Mechanical Engineering
Fast Fourier transform
Mathematical analysis
General Engineering
02 engineering and technology
Conductivity
021001 nanoscience & nanotechnology
Microstructure
Polarization (waves)
Homogenization (chemistry)
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
General Materials Science
0210 nano-technology
Operator norm
Mathematics
Subjects
Details
- ISSN :
- 00207225
- Volume :
- 123
- Database :
- OpenAIRE
- Journal :
- International Journal of Engineering Science
- Accession number :
- edsair.doi...........864359a510ca6d0627b7d870362a87b8