Elastodynamics in micropolar fractal solids

Hady Joumaa, Martin Ostoja-Starzewski, Paul Demmie

Research output: Contribution to journalArticlepeer-review

Abstract

This research explores elastodynamics and wave propagation in fractal micropolar solid media. Such media incorporate a fractal geometry while being modelled constitutively by the Cosserat elasticity. The formulation of the balance laws which govern the mechanics of fractal micropolar solid media is presented. Four eigenvalue-type elastodynamic problems admitting closed-form analytical solutions are introduced and discussed. A numerical procedure to solve general initial boundary value wave propagation problems in three-dimensional micropolar bodies exhibiting geometric fractality is then applied. Verification of the numerical procedure is discussed using the analytical solutions.

Original languageEnglish (US)
Pages (from-to)117-134
Number of pages18
JournalMathematics and Mechanics of Solids
Volume19
Issue number2
DOIs
StatePublished - Mar 2014

Keywords

  • Elastodynamics
  • Fractal solid
  • Micropolar elasticity

ASJC Scopus subject areas

  • General Mathematics
  • General Materials Science
  • Mechanics of Materials

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