“…To understand the above experimental observations, the following is known regarding the stress state within the hydrides. Upon precipitation and owing to their anisotropic transformation strain [37,[41][42][43] and (primarily) to the plate-like shape of the hydrides, the internal stresses within the precipitated hydride platelets are not only compressive but such that the in-plane stress components exceed the stress component normal to the platelet [44,45], as shown schematically in Figure 9a. As will be described below, the resulting anisotropic strain state within the precipitated hydrides is such that the d-spacing of planes parallel to the hydride face exceeds the spacing of those planes aligned with the plate edges within the hydrides after precipitation.…”
Section: An Explanation For the δ-Hydride D-spacing Behavior During Tmentioning
The d-spacing evolution of both in-plane and out-of-plane hydrides has been studied using in situ synchrotron radiation X-ray diffraction during thermo-mechanical cycling of cold-worked stress-relieved Zircaloy-4. The structure of the hydride precipitates is such that the δ{111} d-spacing of the planes aligned with the hydride platelet face is greater than the d-spacing of the 111 planes aligned with the platelet edges. Upon heating from room temperature, the δ{111} planes aligned with hydride plate edges exhibit bi-linear thermally-induced expansion. In contrast, the d-spacing of the (111) plane aligned with the hydride plate face initially contracts upon heating. These experimental results can be understood in terms of a reversal of stress state associated with precipitating or dissolving hydride platelets within the αzirconium matrix.
“…To understand the above experimental observations, the following is known regarding the stress state within the hydrides. Upon precipitation and owing to their anisotropic transformation strain [37,[41][42][43] and (primarily) to the plate-like shape of the hydrides, the internal stresses within the precipitated hydride platelets are not only compressive but such that the in-plane stress components exceed the stress component normal to the platelet [44,45], as shown schematically in Figure 9a. As will be described below, the resulting anisotropic strain state within the precipitated hydrides is such that the d-spacing of planes parallel to the hydride face exceeds the spacing of those planes aligned with the plate edges within the hydrides after precipitation.…”
Section: An Explanation For the δ-Hydride D-spacing Behavior During Tmentioning
The d-spacing evolution of both in-plane and out-of-plane hydrides has been studied using in situ synchrotron radiation X-ray diffraction during thermo-mechanical cycling of cold-worked stress-relieved Zircaloy-4. The structure of the hydride precipitates is such that the δ{111} d-spacing of the planes aligned with the hydride platelet face is greater than the d-spacing of the 111 planes aligned with the platelet edges. Upon heating from room temperature, the δ{111} planes aligned with hydride plate edges exhibit bi-linear thermally-induced expansion. In contrast, the d-spacing of the (111) plane aligned with the hydride plate face initially contracts upon heating. These experimental results can be understood in terms of a reversal of stress state associated with precipitating or dissolving hydride platelets within the αzirconium matrix.
“…However, it was important that the reference d-spacing come from the same experimental setup, as different equipment and calibration used to obtain hydride dspacing in other X-ray experiments found in the literature have an effect on the measured value. Unfortunately, using 'far-field' hydrides as a reference obscures the influence of the initial strain state of the hydrides, which is expected to be compressive due to the volume misfit strains generated in the hydride during precipitation [30,35]. This effect is evident when looking at the line plots in the experimental results.…”
Section: Discussion Of Hydride Reference Lattice Spacingmentioning
“…Recently, Singh et al [26] evaluated the temperature and composition dependence of these differences using data provided by Douglass [12] for the temperature dependence of the lattice parameters in a-Zr and by Yamanaka et al [31,32] for the temperature dependence and hydrogen composition dependence of the lattice parameter in d-hydride. Singh et al [26] focused on the temperature dependence of the lattice parameters for a single d-hydride phase composition of r ffi 1:66. Their results are reproduced in Fig.…”
Section: Crystallography Of the D-hydride Phasementioning
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