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Tensorial stress-plastic strain fields in α - ω Zr mixture, transformation kinetics, and friction in diamond anvil cell

ORAL

Abstract

Various phenomena (phase transformations, chemical reactions, microstructure evolution, strength, and friction) under high pressures in diamond anvil cell are strongly affected by fields of all components of stress and plastic strain tensors. However, they could not be measured. Even measured pressure distribution contains significant error because axial strain does not contribute to x-ray patterns, and the equation of state determined under hydrostatic conditions is used for nonhydrostatic loading. We suggest coupled experimental-analytical and experimental-analytical-computational approaches utilizing synchrotron x-ray diffraction to solve an inverse problem and find fields of all components of stress and plastic strain tensors in each phase and mixture and friction rules before, during, and after α-ω phase transformation in strongly plastically predeformed Zr. The results of both approaches are in good correspondence with each other and experiments. Due to advanced characterization, the minimum pressure for the strain-induced α-ω phase transformation is changed from 1.36 to 2.7 GPa. It is independent of the plastic strain before phase transformations and compression-shear path. The theoretically predicted plastic strain-controlled kinetic equation is verified and quantified. Obtained results open opportunities for developing quantitative high-pressure/stress science, including mechanochemistry, synthesis of new nanostructured materials, geophysics, and tribology.

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Publication: 1. Levitas V.I. High-Pressure Phase Transformations under Severe Plastic Deformation by Torsion in Rotational Anvils. Material Transactions, 2019, 60, 1294-1301, invited review. <br>2. Pandey K. K. and Levitas V. I. In situ quantitative study of plastic strain-induced phase transformations under high pressure: Example for ultra-pure Zr. Acta Materialia, 2020, 196, 338-346.<br>3. Levitas V.I. High pressure phase transformations revisited. Invited Viewpoint article. Journal of Physics: Condensed Matter, 2018, 30, 163001.<br>4. Levitas V.I., Kamrani M., and Feng B. Tensorial stress-strain fields and large elastoplasticity as well as friction in diamond anvil cell up to 400 GPa. NPJ Computational Materials, 2019, 5, 94.<br>5. Feng B. and Levitas V.I. Coupled Elastoplasticity and Strain-Induced Phase Transformation under High Pressure and Large Strains: Formulation and Application to BN Sample Compressed in a Diamond Anvil Cell. International Journal of Plasticity, 2017, 96, 156-181.<br>6. Levitas V.I. and Zarechnyy O. Modeling and simulation of strain-induced phase transformations under compression in a diamond anvil cell. Physical Review B, 2010, 82, 174123.<br>7. Hsieh S., Bhattacharyya P., Zu C., Mittiga T., Smart T. J., Machado F., Kobrin B., Höhn T. O., Rui N. Z., Kamrani M., Chatterjee S., Choi S., Zaletel M., Struzhkin V. V., Moore J. E., Levitas V. I., Jeanloz R., Yao N. Y. Imaging stress and magnetism at high pressures using a nanoscale quantum sensor. Science, 2019, 366, 1349-1354.<br>8. Levitas V.I., Dhar A., and Pandey K.K. Tensorial stress-plastic strain fields in a- ? Zr mixture, transformation kinetics, and friction in diamond anvil cell. December 26, 2022, 45 pp. DOI: https://doi.org/10.48550/arXiv.2212.13000.

Presenters

  • Achyut Dhar

    Iowa State University

Authors

  • Achyut Dhar

    Iowa State University

  • Valery I Levitas

    Iowa State University

  • K.K. K Pandey

    Scientist, High Pressure & Synchrotron Radiation Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India, Bhabha Atomic Research Centre