Fractal modelling of one-dimensional layered medium

G. Goldstein, H. Benaroya

Research output: Contribution to journalArticlepeer-review


The basic purpose of this paper is to investigate whether soil microstructure characteristics can be modelled by fractal sets. The purely geometrical part of this work involves setting up a model that simulates the soil structure in appearance. It is necessary, of course, to go beyond this and to devise a model that will resemble the soil not merely in appearance but also in mechanical behavior. By this is meant the deformation under loading, including the failure mechanism phenomenon. In the following, a procedure is outlined for calculating the deformation under loading of a fractal set model. While the treatment is necessarily brief, the detail devoted to a particular simple example should demonstrate the approach and its promise.

Original languageEnglish (US)
Pages (from-to)555-558
Number of pages4
JournalApplied Mathematical Modelling
Issue number9
StatePublished - Sep 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics


  • Cantor set
  • continuum models
  • fractal sets

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