Homogenization in elastic random media
Abstract
The theoretical foundation and a numerical procedure of deriving stochastic effective properties of linear-elastic periodic fibre composite are presented. Using Monte-Carlo method, a Fortran program based on the deterministic rectangular plane strain element of the Finite Element Method has been worked out to evaluate probabilistic density functions of these properties. The expected values of elastic effective characteristics thus obtained are compared with deterministic results of COSAN modelling.
References
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[2] M. Arminjon. Limit distributions of the states and homogenization in random media. Acta Mech ., 88: 27- 59, 1991.
[3] M. Avellaneda. Optimal bounds and microgeometries for elastic two-phase composites. SIAM J. Appl. Math., 47(6): 1216- 1228, 1987.
[4] W.S. Barański. Microstresses in homogenization. Arch. Mech., 38(4): 369- 382, 1986.
[5] K.J. Bathe, E.L. Wilson, F.E. Peterson. SAP IV - A Structural Analysis Program for Static and Dynamic Response of Linear Systems. Technical Report. California, 1973.
[2] M. Arminjon. Limit distributions of the states and homogenization in random media. Acta Mech ., 88: 27- 59, 1991.
[3] M. Avellaneda. Optimal bounds and microgeometries for elastic two-phase composites. SIAM J. Appl. Math., 47(6): 1216- 1228, 1987.
[4] W.S. Barański. Microstresses in homogenization. Arch. Mech., 38(4): 369- 382, 1986.
[5] K.J. Bathe, E.L. Wilson, F.E. Peterson. SAP IV - A Structural Analysis Program for Static and Dynamic Response of Linear Systems. Technical Report. California, 1973.
Published
2023-07-17
Issue
pp. 9-21
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Kamiński, M. (2023). Homogenization in elastic random media. Computer Assisted Methods in Engineering and Science, 3(1), 9-21. https://cames3.ippt.pan.pl/index.php/cames/article/view/1460
