Fractal analysis of surfaces of advanced reinforcing fibers by atomic force microscopy

Yu A. Dzenis, D. H. Reneker, V. V. Tsukruk, R. Patil

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Fractal analysis of surfaces of several commercial and experimental reinforcing fibers is reported. Atomic force microscope images of fiber surfaces demonstrate the self-affinity of surface topog- raphy over a range of scales. The roughness of the fiber surfaces was calculated after the cylindrical curvature was removed by subtracting a fitted second order polynomial. Fractal dimensions of surfaces were evaluated. The fractal dimension of graphite T40R fiber was 2.09. The fractal dimension of Kevlar® 149 fiber was 2.37. Fractal dimensions of high temperature polyimide BPDA-PFMB fibers decreased from 2.52 for as spun, undrawn fibers to 2.18 for a fiber with a draw ratio 8. The fractal nature of the fiber surfaces implies that the interphase regions also have fractal morphology. Study of the nature of a fractal interface is expected to lead to new insight into the transfer of stress between the fiber and the matrix.

Original languageEnglish (US)
Pages (from-to)307-319
Number of pages13
JournalComposite Interfaces
Issue number4
StatePublished - 1994


  • Advanced reinforcing fibers
  • Atomic force microscopy
  • Fractal dimension
  • Fractal interfaces in composite
  • Multiple image variography
  • Surface morphology

ASJC Scopus subject areas

  • Ceramics and Composites
  • Physics and Astronomy(all)
  • Surfaces, Coatings and Films


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