1. Multifractal Parametrization of the Structure of Deformed Carbon Fibers
- Author
-
I. S. Deev, L. P. Kobets, and V. U. Novikov
- Subjects
Materials science ,Polymers and Plastics ,General Mathematics ,Multifractal system ,Condensed Matter Physics ,Sierpinski triangle ,Biomaterials ,Brittleness ,Mechanics of Materials ,Solid mechanics ,Ceramics and Composites ,Fracture (geology) ,Deformation (engineering) ,Composite material ,Parametrization ,Elastic modulus - Abstract
Deformed carbon fibers are investigated, and their failure model is proposed based on the Sierpinski set and the hypothesis of two — brittle and viscous — fracture modes, whose existence is confirmed by examples of a correlation between the mechanical strength and elastic modulus of the fibers. For the first time, a multifractal diagram is obtained, which allows one to justify the classification of carbon fibers into brittle and inelastic ones.
- Published
- 2004