The concept of multifractal elasticity

Details The concept of multifractal elasticity The concept of multifractal elasticity

2005-03-30

arxiv.org/abs/cond-mat/0503694v1

Physics Letters A, 1996, Volume 210, Issues 1-2, pages 51-59

Physics

Condensed Matter

Materials Science

9 pages, 1 figure

Scientific paper

10.1016/0375-9601(95)00874-8

A new type of elasticity of random (multifractal) structures is suggested. A closed system of constitutive equations is obtained on the basis of two proposed phenomenological laws of reversible deformations of multifractal structures. The results may be used for predictions of the mechanical behavior of materials with multifractal microstructure, as well as for the estimation of the metric, information, and correlation dimensions using experimental data on the elastic behavior of materials with random microstructure.

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