Microelastic wave field signatures and their implications for microstructure identification

M. Steven Greene, Stefano Gonella*, Wing Kam Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


This work combines closed-form and computational analyses to elucidate the dynamic properties, termed signatures, of waves propagating through solids defined by the theory of elasticity with microstructure and the potential of such properties to identify microstructure evolution over a material's lifetime. First, the study presents analytical dispersion relations and frequency-dependent velocities of waves propagating in microelastic solids. A detailed parametric analysis of the results show that elastic solids with microstructure recover traditional gradient elasticity under certain conditions but demonstrate a higher degree of flexibility in adapting to observed wave forms across a wide frequency spectrum. In addition, a set of simulations demonstrates the ability of the model to quantify the presence of damage, just another type of microstructure, through fitting of the model parameters, especially the one associated with the characteristic length scale of the underlying microstructure, to an explicit geometric representation of voids in different damage states.

Original languageEnglish (US)
Pages (from-to)3148-3157
Number of pages10
JournalInternational Journal of Solids and Structures
Issue number22
StatePublished - Nov 1 2012


  • Damage
  • Dispersion
  • Elasticity
  • Generalized continua
  • Microstructure
  • Wave propagation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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