Coupling Diffraction Contrast Tomography with the Finite Element Method

This paper explains how to turn full three dimensional (3D) experimental grain maps into a finite elements (FE) mesh suitable for mechanical analysis. Two examples from diffraction contrast tomography characterizations are presented. Deformation of a pure titanium sample with 1400 grains is computed...

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Bibliographic Details
Published in:Advanced engineering materials 2016-06, Vol.18 (6), p.903-912
Main Authors: Proudhon, Henry, Li, Jia, Reischig, Peter, Guéninchault, Nicolas, Forest, Samuel, Ludwig, Wolfgang
Format: Article
Language:English
Subjects:
Condensed Matter
Diffraction
Elastic anisotropy
Finite element method
Grains
Materials Science
Mathematical analysis
Physics
Strain
Three dimensional
Tomography
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Summary:This paper explains how to turn full three dimensional (3D) experimental grain maps into a finite elements (FE) mesh suitable for mechanical analysis. Two examples from diffraction contrast tomography characterizations are presented. Deformation of a pure titanium sample with 1400 grains is computed using elastic anisotropy and accurate boundary conditions allows to correctly capture the grain to grain elastic strain variations. In the second example a significantly large zone of a polycrystalline Al–Li sample is meshed and computed using elastoplastic finite strain calculation. Mean lattice reorientations and intra‐grain lattice orientation spread are obtained as a function of deformation. This paper explains how to turn 3D experimental grain maps into suitable mesh for mechanical analysis. Two examples from diffraction contrast tomography experiments are featured. i) A pure titanium sample of 600 microns diameter composed of 1 400 grains; ii) a significantly large zone of a polycrystalline Al–Li sample is meshed and deformed using crystal plasticity with a finite strain formulation.
ISSN:1438-1656
1527-2648
DOI:10.1002/adem.201500414