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Effective Elastic Property Estimation for Bi-continuous Heterogeneous Solids

L.M. Xu1, H. Fan2,3, X M Xie3, C. Li3

Institute of Astronautics and Aeronautics, University of Electronic Science and Technology, Chengdu, P.R. China.
Corresponding author: email:, Fax(65) 6791-1859
School of Mechanical and Aerospace Engineering, Nanyang Technological University, Republic of Singapore, 639798.

Computers, Materials & Continua 2008, 7(3), 119-128.


In the present study we performed finite element simulation for bi-continuous heterogeneous solids via a random distribution of materials to predict effective elastic properties. With a random distributing scheme, a statistical analysis via finite element becomes feasible for the multi-phase heterogeneous solids. Using a two-phase bi-continuous material as example, the numerical prediction of the effective properties is obtained in terms of a mean value and standard deviation with a sample size of 30 for each of given volume fraction. The finite element simulation results fall within the analytical bounds proposed by Hashin and Shtrikman (1963) based on the principle of variation. Comparison between the effective modulus based on the present bio-continuous morphology with the matrix-fiber configuration shows big difference.


Cite This Article

APA Style
Xu, L., Fan, H., Xie, X.M., Li, C. (2008). Effective elastic property estimation for bi-continuous heterogeneous solids. Computers, Materials & Continua, 7(3), 119-128.
Vancouver Style
Xu L, Fan H, Xie XM, Li C. Effective elastic property estimation for bi-continuous heterogeneous solids. Comput Mater Contin. 2008;7(3):119-128
IEEE Style
L. Xu, H. Fan, X.M. Xie, and C. Li "Effective Elastic Property Estimation for Bi-continuous Heterogeneous Solids," Comput. Mater. Contin., vol. 7, no. 3, pp. 119-128. 2008.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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