Publication detail

Numerical microstructure model of NiTi wire reconstructed from 3D-XRD data

HELLER, Luděk KARAFIÁTOVÁ, Iva PETRICH, Lukas PAWLAS, Zbyněk SHAYANFARD, Pejman BENEŠ, Viktor SCHMIDT, Volker ŠITTNER, Petr

English title

Numerical microstructure model of NiTi wire reconstructed from 3D-XRD data

Type

journal article in Web of Science

Language

en

Original abstract

In this paper, the grain microstructure and strain partitioning in a polycrystalline NiTi wire subjected to tensile loading was reconstructed from an experimental 3D-XRD dataset. The reconstruction of a volume containing more than 8000 stressed grains involved optimization with respect to both the geometrical features and material elastic properties. The geometrical features of the microstructure were reconstructed using Laguerre tessellations based on the experimental 3D-XRD dataset. Two different algorithms fitting Laguerre tessellations were applied in order to assess the sensitivity of the reconstruction to the choice of the algorithm. The material properties in terms of elastic anisotropy were refined from an initial published value to minimize the mismatch between experiment and simulation using an optimization algorithm based on linear elasticity simulations. As a result of this, we constructed a numerical microstructure model that statistically matches the experimentally probed material in terms of positions and sizes of grains as well as partitioning of elastic strain and stress in the microstructure (average elastic properties and standard deviations of piecewise constant components of elastic strain and stress tensors in grains).

English abstract

In this paper, the grain microstructure and strain partitioning in a polycrystalline NiTi wire subjected to tensile loading was reconstructed from an experimental 3D-XRD dataset. The reconstruction of a volume containing more than 8000 stressed grains involved optimization with respect to both the geometrical features and material elastic properties. The geometrical features of the microstructure were reconstructed using Laguerre tessellations based on the experimental 3D-XRD dataset. Two different algorithms fitting Laguerre tessellations were applied in order to assess the sensitivity of the reconstruction to the choice of the algorithm. The material properties in terms of elastic anisotropy were refined from an initial published value to minimize the mismatch between experiment and simulation using an optimization algorithm based on linear elasticity simulations. As a result of this, we constructed a numerical microstructure model that statistically matches the experimentally probed material in terms of positions and sizes of grains as well as partitioning of elastic strain and stress in the microstructure (average elastic properties and standard deviations of piecewise constant components of elastic strain and stress tensors in grains).

Keywords in English

elastic anisotropy; elasticity; microstructure; microstructure reconstruction; 3D-XRD; Laguerre tessellation; finite element method

Released

15.05.2020

Publisher

IOP PUBLISHING LTD

Location

BRISTOL

ISSN

0965-0393

Volume

28

Number

5

Pages from–to

055007–055007

Pages count

25

BIBTEX


@article{BUT168271,
  author="Luděk {Heller} and Zbyněk {Pawlas} and Pejman {Shayanfard} and Viktor {Beneš} and Petr {Šittner},
  title="Numerical microstructure model of NiTi wire reconstructed from 3D-XRD data",
  year="2020",
  volume="28",
  number="5",
  month="May",
  pages="055007--055007",
  publisher="IOP PUBLISHING LTD",
  address="BRISTOL",
  issn="0965-0393"
}