Elastic properties of inhomogeneous media with chaotic structure

V. V. Novikov; K. W. Wojciechowski; D. V. Belov; V. P. Privalko

doi:10.1103/PhysRevE.63.036120

Elastic properties of inhomogeneous media with chaotic structure

V. V. Novikov, K. W. Wojciechowski, D. V. Belov, and V. P. Privalko

Phys. Rev. E 63, 036120 – Published 27 February 2001

Abstract

The elastic properties of an inhomogeneous medium with chaotic structure were derived within the framework of a fractal model using the iterative averaging approach. The predicted values of a critical index for the bulk elastic modulus and of the Poisson ratio in the vicinity of a percolation threshold were in fair agreement with the available experimental data for inhomogeneous composites.

Received 20 January 2000

DOI:https://doi.org/10.1103/PhysRevE.63.036120

Authors & Affiliations

V. V. Novikov^1,*, K. W. Wojciechowski², D. V. Belov¹, and V. P. Privalko^3,†

¹Odessa Polytechnic University, 1 Shevchenka Prospekt, 65044 Odessa, Ukraine
²Institute of Molecular Physics, Polish Academy of Sciences, 17/19 Smoluchowskiego, 60-179 Poznan, Poland
³Department of Chemical Engineering, Technion-IIT, 32000 Haifa, Israel

^*Email address: novikov@te.net.ua
^†Permanent address: Institute of Macromolecular Chemistry, National Academy of Sciences of Ukraine, 263160 Kyiv, Ukraine.

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Vol. 63, Iss. 3 — March 2001

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics