ABSTRACT In this work, failure of a magnesium aluminate spinel (MgAl2O4) is investigated at the microscale by concurrent in situ imaging and loading within a transmission electron microscope. The goal of the effort is to quantitively measure the grain boundary fracture toughness of a spinel bi‐crystal and study the toughness property disparity between the grain boundary and lattice (measured in an earlier effort). Additionally, the mode mixity dependence of the grain boundary fracture properties is measured as the applied loading configuration is varied. By placing a notch aligned with the grain boundary at the top or bottom edge of a bi‐crystal beam sample, bending experiments can generate grain boundary failure with different mode mixites. Critical energy release rates and mode mixity indicators for each sample were extracted through three‐dimensional finite element analysis (FEA), validated by comparison of particle tracking measurements with the FEA results. For opening‐dominated fracture, the grain boundary exhibited a lower fracture energy when compared to the single crystal lattice. Alternatively, shear‐dominated modes exhibit much larger toughness.
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Opening-Dominated Fracture Characterization of Single Crystal Spinel in the Transmission Electron Microscope
Abstract BackgroundCharacterizing deformation and failure mechanisms through small-scale testing has helped in the fundamental understanding of material response, and direct loading in a transmission electron microscope (TEM) has played a large role in this effort. However, crystalline materials exhibit incoherent scattering within the TEM and the resulting intensity variations inhibit direct optical metrology. ObjectiveIn this work, we seek to both validate anin situoptical full-field metrology method in the TEM for use with crystalline materials, and measure fracture properties of a MgAl2O4spinel single crystal at the microscale. MethodsMicroscale single edge notch bend beams were machined from a spinel single crystal and loaded in the TEM.In situimaging of a nanoscale speckle pattern allowed use of particle tracking (PT) to extract full-field measurements of the displacement field. A numerical analysis methodology was then used to obtain mixed mode stress intensity factor values. ResultsA discrepancy between PT and far-field actuator measurements of applied displacement was found (about a maximum of 35% difference), indicating the advantage of using near-field optical measurements in the TEM. For such small-scale testing it is also generally unavoidable to introduce asymmetry in loading. However, the PT results allowed measurement of bothKIandKII, which were found to be at the time of crack initiationKIC= 1.51± 0.03 MPa∙m0.5, KIIC= 0.04± 0.002 MPa∙m0.5, respectively. ConclusionsThe application of PT enables full-field deformation measurements on crystalline materials deformed in the TEM. The effectiveness of the inverse property extraction was demonstrated by good agreement between the full-field PT measurements and FEM results. The MgAl2O4spinel toughness values extracted also agreed well with previous literature results.
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- Award ID(s):
- 1825466
- PAR ID:
- 10674860
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Experimental Mechanics
- Volume:
- 66
- Issue:
- 1
- ISSN:
- 0014-4851
- Page Range / eLocation ID:
- 153 to 162
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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