Identification: E1.08
Identification: H2.04
Identification: II1.07
Identification: L1.08
Identification: NN1.08
EBSD is a method of measuring the local orientation of crystals at the scale down to nanometer, while Young measure is a mathematical tool of analyzing deformation with fine microstructure at the continuum scale (often larger than micrometer). For martensitic materials without external stressing, local crystal orientation is sufficient to determine the local deformation, given the transformation stretch tensor and the assignment of variants to regions of homogeneous deformation. Therefore, EBSD is potentially a tool of accurately measuring the deformation distribution in a small (at the continuum scale) neighborhood of a point in such materials. The distribution can be further utilized to construct the Young measure field.
This manuscript discusses a scheme for measuring the Young measure using EBSD in a material that undergoes a martensitic phase transformation. The scheme is based on the (weak) Cauchy-Born rule. The scheme first includes an algorithm of determining the transformation stretch metric. Then by assigning phases or variants for regions in the EBSD images, the distribution of deformation gradients in a small neighborhood of a point in the sample is measured. Besides, the scheme also includes specific algorithms to check whether certain zero elastic energy microstructures, which have been associated with low hysteresis and enhanced reversibility, are present in the sample. The treatment is geometrically exact: no assumptions of smallness of the deformation are made in the interpretation of the measurements.
We acknowledge the financial support of MURI project FA9550-12-1-0458 (administered by AFOSR). This research also benefited from the support of NSF-PIRE grant number OISE-0967140.
Identification: TT1.06
Time-resolved x-ray diffraction can provide important insights into the evolution of the structure of a material during dynamic loading, such as the elastic strains in individual phases, crystallographic texture, and the development of new (possibly metastable) phases. We performed time-resolved x-ray diffraction on bulk polycrystalline metals and alloys undergoing dynamic compressive loading in a split Hopkinson (Kolsky) bar apparatus at strain rates of approximately 2500 s−1 with exposures as short as 70 ns. The diffraction patterns were recorded in transmission onto the Cornell Keck-PAD, a high-speed analog pixel array detector, using 10 keV x-rays from the Cornell High Energy Synchrotron Source (CHESS). Varying the orientation of the Kolsky bar with respect to the incident x-rays and the position of the detector allowed us vary the orientation of the scattering vector with respect to the loading direction.
As an example we discuss texture evolution of magnesium alloy AZ31 under dynamic compression. We observed a decrease in scattering from the (0002) planes and a corresponding increase in scattering from the (10-10) planes with the scattering vector perpendicular to the loading axis, while the opposite behavior was observed with the scattering vector approximately parallel to the loading axis. This is consistent with texture evolution in the form of a reorientation of the magnesium lattice due to activation of {10-11}<10-1-2> compression twins in response to dynamic deformation. Finally, we will discuss prospects for future developments in experiments of this kind, taking advantage of new detectors and x-ray sources.
Identification: A1.10
Identification: D2.04
Identification: II1.08
Identification: L1.09