Abstract
A stochastic analysis of multi-scale problem in porous media was introduced in this paper to determine the variation of macroscopic homogenized properties considering uncertainties at microscopic level. By assuming the small fluctuation that arises in microscopic properties was distributed in Gaussian normal distribution, the macroscopic homogenized properties has been formulated in stochastic manner using first-order perturbation-based. The merit of this method lies in the ability to consider other uncertainties instead of microscopic properties due to random microstructure variations. Hence, the proposed stochastic homogenization method was established by adding two demonstrative problems that commonly occur in engineering materials. First, the fluctuation of Young's modulus in adhesive of two-phase materials was considered to demonstrate a simple numerical model that can predict the dispersion of macroscopic properties. Next, the variation in microscopic properties was combined with misalignment of stacked plate microstructure to investigate the effects on macroscopic properties of corrugated-core. The results showed that the misaligned position in some distances increased the macroscopic properties but by taking the probability function on misalignment reduced that. It proved that the significance of this study in design and fabrication of porous media considering random variation of microstructure.
| Original language | English |
|---|---|
| Title of host publication | ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers |
| Pages | 621-630 |
| Number of pages | 10 |
| Publication status | Published - 2012 |
| Event | 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria Duration: 2012 Sep 10 → 2012 Sep 14 |
Other
| Other | 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 |
|---|---|
| Country | Austria |
| City | Vienna |
| Period | 12/9/10 → 12/9/14 |
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Keywords
- Homogenization method
- Perturbation method
- Porous media
- Stochastic analysis
ASJC Scopus subject areas
- Computational Theory and Mathematics
- Applied Mathematics
Cite this
Stochastic modeling and analysis of porous media using first-order perturbation-based homogenization method. / Basaruddin, Khairul Salleh; Takano, Naoki.
ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 621-630.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Stochastic modeling and analysis of porous media using first-order perturbation-based homogenization method
AU - Basaruddin, Khairul Salleh
AU - Takano, Naoki
PY - 2012
Y1 - 2012
N2 - A stochastic analysis of multi-scale problem in porous media was introduced in this paper to determine the variation of macroscopic homogenized properties considering uncertainties at microscopic level. By assuming the small fluctuation that arises in microscopic properties was distributed in Gaussian normal distribution, the macroscopic homogenized properties has been formulated in stochastic manner using first-order perturbation-based. The merit of this method lies in the ability to consider other uncertainties instead of microscopic properties due to random microstructure variations. Hence, the proposed stochastic homogenization method was established by adding two demonstrative problems that commonly occur in engineering materials. First, the fluctuation of Young's modulus in adhesive of two-phase materials was considered to demonstrate a simple numerical model that can predict the dispersion of macroscopic properties. Next, the variation in microscopic properties was combined with misalignment of stacked plate microstructure to investigate the effects on macroscopic properties of corrugated-core. The results showed that the misaligned position in some distances increased the macroscopic properties but by taking the probability function on misalignment reduced that. It proved that the significance of this study in design and fabrication of porous media considering random variation of microstructure.
AB - A stochastic analysis of multi-scale problem in porous media was introduced in this paper to determine the variation of macroscopic homogenized properties considering uncertainties at microscopic level. By assuming the small fluctuation that arises in microscopic properties was distributed in Gaussian normal distribution, the macroscopic homogenized properties has been formulated in stochastic manner using first-order perturbation-based. The merit of this method lies in the ability to consider other uncertainties instead of microscopic properties due to random microstructure variations. Hence, the proposed stochastic homogenization method was established by adding two demonstrative problems that commonly occur in engineering materials. First, the fluctuation of Young's modulus in adhesive of two-phase materials was considered to demonstrate a simple numerical model that can predict the dispersion of macroscopic properties. Next, the variation in microscopic properties was combined with misalignment of stacked plate microstructure to investigate the effects on macroscopic properties of corrugated-core. The results showed that the misaligned position in some distances increased the macroscopic properties but by taking the probability function on misalignment reduced that. It proved that the significance of this study in design and fabrication of porous media considering random variation of microstructure.
KW - Homogenization method
KW - Perturbation method
KW - Porous media
KW - Stochastic analysis
UR - http://www.scopus.com/inward/record.url?scp=84871636605&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84871636605&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84871636605
SN - 9783950353709
SP - 621
EP - 630
BT - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
ER -