Theory and computation for the microstructure near the interface between twinned layers and a pure variant of martensite

Bo Li, Mitchell Luskin

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We report results on a finite element simulation of a needle-like martensitic microstructure observed in biaxial loading experiments conducted by Chu and James on single crystals of the shape-memory alloy Cu-14 at.% Al-3.9 at.% Ni. This microstructure was observed near an interface between twinned layers of two variants and a pure variant of martensite. We used a geometrically nonlinear theory of martensite to model and compute the complex microstructure by energy minimization with a boundary condition that is compatible with the microstructure. Our computational model has yielded multiple metastable states that depend on the initial state of our energy-minimizing iteration. The simulated twinned layers form branches and bend as they approach the laminate-single variant interface in good agreement with the experiment of Chu and James.

Original languageEnglish (US)
Pages (from-to)237-240
Number of pages4
JournalMaterials Science and Engineering A
Volume273-275
DOIs
StatePublished - Dec 15 1999

Bibliographical note

Funding Information:
We thank R. James and R. Kohn for many helpful discussions, and C. Chu and R. James for providing Fig. 1 . This work was supported in part by NSF DMS 95-05077, by AFOSR F49620-98-1-0433 and AF/F 49620-96-1-0212, by ARO DAAG55-98-1-0335, by ARPA/URI/ONR N00014-92-J-1890, by the Institute for Mathematics and Its Applications, and by the Minnesota Supercomputer Institute.

Keywords

  • Finite element method
  • Martensite
  • Microstructure

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