Stochastic modeling and analysis of porous media using first-order perturbation-based homogenization method

Khairul Salleh Basaruddin, Naoki Takano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages621-630
Number of pages10
Publication statusPublished - 2012
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 2012 Sep 102012 Sep 14

Other

Other6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
CountryAustria
CityVienna
Period12/9/1012/9/14

Fingerprint

Homogenization method
Homogenization Method
Stochastic Modeling
Stochastic Analysis
Porous Media
Porous materials
First-order
Perturbation
Microstructure
Normal distribution
Numerical models
Misalignment
Adhesives
Elastic moduli
Gaussian distribution
Fabrication
Stochastic Homogenization
Fluctuations
Multiscale Problems
Uncertainty

Keywords

  • Homogenization method
  • Perturbation method
  • Porous media
  • Stochastic analysis

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Basaruddin, K. S., & Takano, N. (2012). Stochastic modeling and analysis of porous media using first-order perturbation-based homogenization method. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (pp. 621-630)

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 proceedingConference contribution

Basaruddin, KS & Takano, N 2012, Stochastic modeling and analysis of porous media using first-order perturbation-based homogenization method. in ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. pp. 621-630, 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna, Austria, 12/9/10.
Basaruddin KS, Takano N. Stochastic modeling and analysis of porous media using first-order perturbation-based homogenization method. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 621-630
Basaruddin, Khairul Salleh ; Takano, Naoki. / Stochastic modeling and analysis of porous media using first-order perturbation-based homogenization method. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. pp. 621-630
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