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An experimental system for high temperature X-ray diffraction studies with in situ mechanical loading
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View: Figures


Image of FIG. 1.
FIG. 1.

Schematic of transmission diffraction geometry.

Image of FIG. 2.
FIG. 2.

Schematic indicating the specimen loading and rotational axes.

Image of FIG. 3.
FIG. 3.

Schematic of the new system, indicating coordinate systems and rotational axes. The (X, Y, Z) coordinate system is defined by the gross translation stage and enables alignment of the system relative to the incident x-rays. The (X, Y, Z) coordinate system is defined by the roller bearing and dovetail translation stages and enables alignment of the specimen relative to the Z and X rotational axes, respectively. The (x, y, z) coordinate system is defined by the test specimen. The machine is positioned such that x-rays travel out of the page (Y axis), through the specimen location at the center of the furnace.

Image of FIG. 4.
FIG. 4.

Schematic depicting the tension/compression loading configuration, with the top pushrod shown semi-transparent.

Image of FIG. 5.
FIG. 5.

Specimen drawings with the dimensions in millimeters for (a) compression specimens and (b) tension/compression specimens.

Image of FIG. 6.
FIG. 6.

Cross sectional view of the furnace.

Image of FIG. 7.
FIG. 7.

Schematic of the specimen environment assembly with a tension/compression specimen (bottom components are shown semi-transparent).

Image of FIG. 8.
FIG. 8.

Schematic of furnace rotation. Components shown in gray (the furnace and gear) counter rotate in ω while all components rotate in χ.

Image of FIG. 9.
FIG. 9.

Picture of the system after ω rotation: the stepper motor counter rotated the furnace about z to ensure it remained aligned with respect to the x-rays. The incident and transmitted beams are shown in green, refer to Fig. 1 for a schematic.

Image of FIG. 10.
FIG. 10.

Specimen alignment setup for (a) compression specimens (shown semi-transparent) and (b) tension/compression specimens.

Image of FIG. 11.
FIG. 11.

Schematic of components in the beam path of the A2 experimental station at CHESS. Components downstream of the monochromator are located within the station. The experimental system applying in situ thermomechanical loading to the specimen is not shown.

Image of FIG. 12.
FIG. 12.

View of the dummy specimen used for alignment in (a) the compression loading configuration and (b) the tension/compression loading configuration. The circular void in each specimen is filled with unstrained calibrant powder and sealed with polyimide tape.

Image of FIG. 13.
FIG. 13.

Pole figures of lattice strains measured in single crystal silicon, at each prescribed macroscopic stress and temperature point. Each pole figure contains data from multiple sets of lattice planes ({hkl}s). Load was applied along the z axis as shown in Fig. 3 .

Image of FIG. 14.
FIG. 14.

Optimized normal strain tensor components at prescribed macroscopic stress points, determined from lattice strains in single crystal silicon at (a) 25 °C and (b) 200 °C. Included theoretical stress-strain curves are calculated from the following elastic constants: 15 (a) C 11 = 165.64 GPa, C 12 = 63.94 GPa, C 14 = 79.51 GPa; (b) C 11 = 162.52 GPa, C 12 = 62.68 GPa, C 14 = 78.19 GPa.

Image of FIG. 15.
FIG. 15.

Macroscopic stress-strain values of diffraction experiments, conducted on an LSHR alloy at 550 °C. Deformation began at the origin A and ended at B. Dashed lines connecting the diffraction points give a rough outline of the macroscopic stress-strain behavior.

Image of FIG. 16.
FIG. 16.

LSHR pole figures for four characteristic {hkl}s at 550 °C, containing (a) thermal expansion coefficient data and (b) lattice strain data at a macroscopic stress of 1150 MPa in tension (upper set of pole figures) and compression (lower set). Load was applied along the z axis as shown in Fig. 3 .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: An experimental system for high temperature X-ray diffraction studies with in situ mechanical loading