APPLICATION OF THE FRACTAL APPROACH TO DETERMINATION
OF THE POISSON COEFFICIENT OF POLYMERIC SYSTEMS

V. A. Sidletskiia and B. B. Kolupaevb 

UDC 541.64:539.3

Within the framework of the combination of the classical 
elasticity theory with the concepts of the scale invariance of the 
polymer structure, the dependence of the Poisson coefficient on the 
dimension of the fractal cluster has been found. It has been shown 
that the Poisson coefficient of polymers is related to the value of 
relative deformation. The range of permissible values of the fractal 
dimension of materials for the cases of uniaxial tension and compression 
has been determined.

aRovno State Humanities University, 
Rovno, Ukraine; bT. G. Shevchenko Kiev National 
University, Kiev, Ukraine. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 76, No. 4, pp. 164-167, July-August, 2003. Original 
article submitted October 29, 2002.