Elastic Constants by Resonant Ultrasound Spectroscopy – Application to Thermoelectrics and Aluminum Alloys
DOI:
https://doi.org/10.26408/112.05Keywords:
resonant ultrasound spectroscopy, elastic constants, thermoelectric materials, age hardening, aluminum alloysAbstract
Resonant ultrasound spectroscopy is a non-destructive technique for determining the elastic constants of a material. In the context of thermoelectric materials, elastic constants can be used to investigate the speed of sound and, thus, the lattice thermal conductivity of a substance. For Mg2Si-Mg2Sn solid solutions, a possible connection between shear modulus and band convergence can be assumed in that way. Moreover, the rather low speed of sound in this system points towards a high contribution of optical phonons to thermal conductivity. Additionally, significant resonance frequency shifts are observed during natural aging of technical Al-Cu-Mg and Al-Mg-Si alloys, which are proposed to assist investigation of the early stages of clustering in the future.References
Anderson, O.L., 1963, A Simplified Method for Calculating the Debye Temperature from Elastic Constants, Journal of Physics and Chemistry of Solids, vol. 24, no. 7, pp. 909–917.
[2] Anderson, K., Weritz, J., Kaufman, J.G. (ed.), 2018, ASM Handbook, Aluminum Science and Technology, ASM International, Novelty.
[3] Banhart, J., Chang, C.S.T., Liang, Z., Wanderka, N., Lay, M.D.H., Hill, A.J., 2010, Natural Aging in Al‐Mg‐Si Alloys – A Process of Unexpected Complexity, Advanced Engineering Materials, vol. 12, no. 7, pp. 559–571.
[4] Callaway, J., 1959, Model for Lattice Thermal Conductivity at Low Temperatures, Physical Review, vol. 113, no. 4.
[5] Dasgupta, T., Stiewe, C., de Boor, J., Müller, E., 2014, Influence of Power Factor Enhancement on the Thermoelectric Figure of Merit in Mg2Si0.4Sn0.6 Based Materials, Physica Status Solidi A, vol. 211, no. 6, pp. 1250–1254.
[6] Goldsmid, H.J., 2016, Introduction to Thermoelectricity, Springer-Verlag, Berlin Heidelberg, Germany.
[7] Ivanov, R., Deschamps, A., De Geuser, F., 2017, A Combined Characterization of Clusters in Naturally Aged Al–Cu–(Li, Mg) Alloys Using Small-angle Neutron and X-ray Scattering and Atom Probe Tomography, Journal of Applied Crystallography, vol. 50, pp. 1725–1734.
[8] Klobes, B, de Boor, J., Alatas, A., Hu, M.Y., Simon, R.E., Hermann, R.P., 2019, Lattice Dynamics and Elasticity in Thermoelectric Mg2Si1−xSnx, Physical Review Materials, vol. 3, 025404.
[9] Klobes, B., Maier, K., Staab, T.E.M., 2011, Natural Aging of Al–Cu–Mg Revisited from a Local Perspective, Materials Science and Engineering A, vol. 528, pp. 3253–3260.
[10] Klobes, B., Staab, T.E.M., Dudzik, E., 2008, Early Stages of Decomposition in Al Alloys Investigated by X-ray Absorption, Physica Status Solidi RRL, vol. 2, no. 4, pp. 182–184.
[11] Le Rousseau, J.H.L., Watson, L., Freeman, P., 2015, PALab Resonant Ultrasound Spectroscopy, July 2019, https://github.com/PALab/RUS.
[12] Liu, W., Yan, X., Chen, G., Ren, Z., 2012, Recent Advances in Thermoelectric Nanocomposites, Nano Energy, vol. 1, no. 1, pp. 42–56.
[13] Lovett, D.R., 1990, Tensor Properties of Crystal, Adam Hilger, Bristol and New York, USA.
[14] Maynard, J., 1996, Resonant Ultrasound Spectroscopy, Physics Today, vol. 49, no. 1, pp. 26–31.
[15] Meade, M.L., 1983, Lock-in Amplifiers: Principles and Applications, Peter Peregrinus Ltd., London, England.
[16] Migliori, A., Sarrao, J.L., 1997, Resonant Ultrasound Spectroscopy: Applications to Physics, Materials Measurements, and Nondestructive Evaluation: Applications to Physics, Material Measurements and Nondestructive Evaluation, John Wiley & Sons, New Jersey, USA.
[17] Petschke, D., Lotter, F., Bläss, E., Staab, T.E.M., 2018, Time-resolved X-ray Absorption Spectroscopy on Al–Cu Alloys – from Solute Copper to Stable Precipitates, Journal of Applied Crystallography, vol. 51, no. 5, pp. 1339–1351.
[18] Toberer, E.S., Zevalkink, A., Snyder, G.J., 2011, Phonon Engineering through Crystal Chemistry, Journal of Materials Chemistry, vol. 21, pp. 15 843–15 852.
[19] Yan, Y., 2014, Investigation of the Negative and Positive Effect of Natural Aging on Artificial Aging Response in Al-Mg-Si Alloys, PhD-Thesis, Technische Universität Berlin, Germany.
[20] Zadler, B.J., Le Rousseau, J.H.L., Scales, J.A., Smith, M.L., 2004, Resonant Ultrasound Spectroscopy: Theory and Application, Geophysical Journal International, vol. 156, no. 1, pp. 154–169.
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