Asymptotic analysis of hierarchical martensitic microstructure

Pierluigi Cesana, Marcel Porta, Turab Lookman

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.

Original languageEnglish
Pages (from-to)174-192
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Publication statusPublished - Dec 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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