Open access
Datum
2020Typ
- Journal Article
ETH Bibliographie
yes
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Abstract
We study the geometry of needle-shaped domains in shape-memory alloys. Needle-shaped domains are ubiquitously found in martensites around macroscopic interfaces between regions which are laminated in different directions, or close to macroscopic austenite/twinned-martensite interfaces. Their geometry results from the interplay of the local nonconvexity of the effective energy density with long-range (linear) interactions mediated by the elastic strain field, and is up to now poorly understood. We present a two-dimensional shape optimization model based on finite elasticity and discuss its numerical solution. Our results indicate that the tapering profile of the needles can be understood within finite elasticity, but not with linearized elasticity. The resulting tapering and bending reproduce the main features of experimental observations on Ni65Al35. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000464730Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Comptes Rendus. MathématiqueBand
Seiten / Artikelnummer
Verlag
Académie des SciencesOrganisationseinheit
03962 - Sudret, Bruno / Sudret, Bruno
ETH Bibliographie
yes
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