Multiresolution analysis for material design

Cahal McVeigh, Franck Vernerey, Wing Kam Liu*, L. Cate Brinson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

87 Scopus citations


The relationship between material microstructure and properties is the key to optimization and design of lightweight, strong, tough materials. Material properties are inherently a function of the microscale interactions at each distinct scale of deformation in a material. Currently, we rely on empirical data to define the structure-property link in the material design chain. A model is proposed here in which a material is physically and mathematically decomposed to each individual scale of interest. Material deformation can subsequently be resolved to each of these scales. Constitutive behavior at each scale can be determined by analytically or computationally examining the micromechanics at each scale. This is illustrated for a polycrystalline material, a granular material, a porous material and an alloy containing particles at two scales. A potential use for a bio-inspired self-healing composite is also discussed. The theory can then be applied computationally in a finite element framework to determine the overall material properties in terms of the constitutive behavior at each scale, without resorting to empiricism.

Original languageEnglish (US)
Pages (from-to)5053-5076
Number of pages24
JournalComputer Methods in Applied Mechanics and Engineering
Issue number37-40
StatePublished - Jul 15 2006


  • Alloy
  • Constitutive law
  • Material design
  • Multiresolution
  • Multiscale

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


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