Quantitative analysis of compatible microstructure by electron backscatter diffraction

Michael Chapman, Marc De Graef, Richard D. James, Xian Chen

Research output: Contribution to journalArticlepeer-review


We propose a scheme for assigning the martensite variant using electron backscatter diffraction in a martensite material that undergoes a solid-solid phase transformation. Based on the solutions of the crystallographic equations of martensite, we provide an algorithm to assign martensite variants to a particular microscopic region, and to check the elastic compatibility of the microstructure corresponding to low hysteresis and high reversibility in shape memory alloys. This article is part of the theme issue 'Topics in mathematical design of complex materials'.

Original languageEnglish (US)
Pages (from-to)20200112
Number of pages1
JournalPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
Issue number2201
StatePublished - Jul 12 2021


  • compatibility
  • electron backscatter diffraction
  • martensite
  • microstructure

PubMed: MeSH publication types

  • Journal Article


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