On the Stability of a Microstructure Model

Mihhail Berezovski, Arkadi Berezovski

Research output: Contribution to journalArticlepeer-review

Abstract

The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.

Original languageAmerican English
JournalComputational Materials Science
Volume52
DOIs
StatePublished - Feb 9 2011
Externally publishedYes

Keywords

  • wave propagation
  • microstructured solids
  • asymptotic stability
  • dispersion

Disciplines

  • Mechanics of Materials
  • Numerical Analysis and Computation
  • Partial Differential Equations

Cite this