  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.
