The complex deformation field of the fractal elliptic paraboloid in the multilayer nanosystem with variable parameters

Authors

  • O. P. Abramova
  • S. V. Abramov

Keywords:

fractal volumetric structures, variable parameters, complex displacement functions, alteration of the structure, attractors, self-organization, multilayer nanosystem

Abstract

The deformation field in the multilayer nanosystem with a bulk structure of the type of the fractal elliptic paraboloid has been investigated. During the iteration procedure variable parameters arise. They lead to the appearance of the complex displacement functions of the lattice nodes and allow to take into account inside and interplanar variables of interactions. The analysis of the average functions is performed, the presence of layers with critical values of the parameters is founded. It is shown that when crossing the surface of the elliptic paraboloid critical planes formed a line of singular points (attractors) of the deformation field - elliptical dislocation. The process of self-organization leads to the effects of rotation, shift the center of gravity, change the semi-axes of the elliptical dislocation

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Published

2014-06-01

Issue

Section

Mechanics