Modeling and simulation of ultrasonic beam skewing in polycrystalline materials

Nicoletti, D., Bilgutay, N., Banu, O.: Power-law relationships between the dependence of ultrasonic attenuation on wavelength and the grain size distribution. J. Acoust. Soc. Am. 91, 3278–3284 (1992). https://doi.org/10.1121/1.402862

Yalda, I., Margetan, F.J., Thompson, R.B.: Predicting ultrasonic grain noise in polycrystals: a Monte Carlo model. J. Acoust. Soc. Am. 99, 3445–3455 (1996). https://doi.org/10.1121/1.414991

Papadakis, E.P.: 5. Scattering in polycrystalline media. In: Edmonds, P.D. (ed.) Methods in Experimental Physics. Ultrasonics, vol. 19, pp. 237–298. Academic Press, Cambridge (1981). https://doi.org/10.1016/S0076-695X(08)60336-1

Thompson, R.B., Margetan, F.J., Haldipur, P., Yu, L., Li, A., Panetta, P., et al.: Scattering of elastic waves in simple and complex polycrystals. Wave Motion 45, 655–674 (2008). https://doi.org/10.1016/j.wavemoti.2007.09.008

Lifshits, I.M., Parkhomovskii, G.D.: Theory of propagation of ultrasonic waves in polycrystals. Zh. Eksp. Teor. Fiz. 20, 175–182 (1950)

Bhatia, A.B.: Scattering of high frequency sound waves in polycrystalline materials. II. J. Acoust. Soc. Am. 31, 1140 (1959). https://doi.org/10.1121/1.1907843

Papadakis, E.P.: Ultrasonic attenuation caused by scattering in polycrystalline metals. J. Acoust. Soc. Am. 37, 711 (1965). https://doi.org/10.1121/1.1909401

Hirsekorn, S.: The scattering of ultrasonic waves by polycrystals. J. Acoust. Soc. Am. 72, 1021–1031 (1982). https://doi.org/10.1121/1.388233

Stanke, F.E.: A unified theory for elastic wave propagation in polycrystalline materials. J. Acoust. Soc. Am. 75, 665 (1984). https://doi.org/10.1121/1.390577

Weaver, R.L.: Diffusivity of ultrasound in polycrystals. J. Mech. Phys. Solids 38, 55–86 (1990). https://doi.org/10.1016/0022-5096(90)90021-U

Thompson, B.R.: Elastic-Wave Propagation in Random Polycrystals: Fundamentals and Application to Nondestructive Evaluation. Imaging Complex Media with Acoustic Seismic Waves, pp. 233–257. Springer, Berlin (2002)

Calvet, M., Margerin, L.: Velocity and attenuation of scalar and elastic waves in random media: a spectral function approach. J. Acoust. Soc. Am. 131, 1843 (2012). https://doi.org/10.1121/1.3682048

Rokhlin, S.I., Li, J., Sha, G.: Far-field scattering model for wave propagation in random media. J. Acoust. Soc. Am. 137, 2655–2669 (2015). https://doi.org/10.1121/1.4919333

Kube, C.M., Turner, J.A.: Ultrasonic attenuation in polycrystals using a self-consistent approach. Wave Motion 57, 182–193 (2014). https://doi.org/10.1016/j.wavemoti.2015.04.002

Silk, M.G.: A computer model for ultrasonic propagation in complex orthotropic structures. Ultrasonics 19, 208–212 (1981). https://doi.org/10.1016/0041-624X(81)90004-4

Ogilvy, J.A.: Ultrasonic beam profiles and beam propagation in an austenitic weld using a theoretical ray tracing model. Ultrasonics 24, 337–347 (1986). https://doi.org/10.1016/0041-624X(86)90005-3

Kolkoori, S., Rahman, M.U., Prager, J.: Effect of columnar grain orientation on ultrasonic plane wave energy reflection and transmission behaviour in anisotropic austenitic weld materials. J. Nondestruct. Eval. 31, 253–269 (2012). https://doi.org/10.1007/s10921-012-0140-1

Ghoshal, G., Turner, J.A.: Numerical model of longitudinal wave scattering in polycrystals. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 56, 1419–1428 (2009). https://doi.org/10.1109/TUFFC.2009.1197

Shahjahan, S., Rupin, F., Aubry, A., Chassignole, B., Fouquet, T., Derode, A.: Comparison between experimental and 2-D numerical studies of multiple scattering in Inconel600® by means of array probes. Ultrasonics 54, 358–367 (2014). https://doi.org/10.1016/j.ultras.2013.06.012

Van Pamel, A., Brett, C.R., Huthwaite, P., Lowe, M.J.: Finite element modelling of elastic wave scattering within a polycrystalline material in two and three dimensions. J. Acoust. Soc. Am. 138, 2326 (2015). https://doi.org/10.1121/1.4931445

Shivaprasad, S., Balasubramaniam, K., Krishnamurthy, C.V.: Voronoi based microstructure modelling for elastic wave propagation. AIP Conf. Proc. 1706, 70013 (2016). https://doi.org/10.1063/1.4940531

Volker, A., Soares, M.D.E., Melo, S.E., Wirdelius, H., Lundin, P., Krix, D., et al.: Ultrasonic assessment of metal microstructures, modelling and validation. In: Proceedings on 19th WCNDT 2016, pp. 1–8 (2016)

Pandala, A., Shivaprasad, S., Krishnamurthy, C.V., Balasubramaniam, K.: Modelling of elastic wave scattering in polycrystalline materials. In: 8th International Symposium on NDT Aerospace (2016)

Adithya, R., Shivaprasad, S.B., Balasubramaniam, K., Krishnamurthy, C.V.: Finite element modelling of elastic wave propagation in polycrystalline media. Indian National Seminar & Exhibition. Non-Destructive Evaluation. NDE 2016 (2016)

Voronoi, G.: Nouvelles applications des parametres continus à la theorie des formes quadratiques. Deuxième Mémorie: Recherches sur les paralléloèdres primitifs. J. Für Die Reine Und Angew Math. 134, 198–287 (1908)

Kumar, S., Singh, R.: Thermal conductivity of polycrystalline materials. J. Am. Ceram. Soc. 78, 728–736 (1995)

Espinosa, H.D., Zavattieri, P.D.: A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part II: numerical examples. Mech. Mater. 35, 365–394 (2003). https://doi.org/10.1016/S0167-6636(02)00287-9

Zhang, P., Balint, D., Lin, J.: An integrated scheme for crystal plasticity analysis: virtual grain structure generation. Comput. Mater. Sci. 50, 2854–2864 (2011). https://doi.org/10.1016/j.commatsci.2011.04.041

Zhu, H.X., Thorpe, S.M., Windle, A.H.: The geometrical properties of irregular two-dimensional Voronoi tessellations. Philos. Mag. A 81, 2765–2783 (2001). https://doi.org/10.1080/01418610010032364

Suzudo, T., Kaburaki, H.: An evolutional approach to the numerical construction of polycrystalline structures using the Voronoi tessellation. Phys. Lett. Sect. A Gen. At. Solid State Phys. 373, 4484–4488 (2009). https://doi.org/10.1016/j.physleta.2009.09.072

Auld, B.A.: Acoustic Fields and Waves in Solids, vol. I. RE Krieger, London (1975). https://doi.org/10.1016/0003-682x(75)90008-0

COMSOL: LiveLink for MATLAB User’s Guide: Version 5.2 (2015)

Ledbetter, H.M., Naimon, E.R.: Elastic properties of metals and alloys. II. Copper. J. Phys. Chem. Ref. Data 3, 897–935 (1974). https://doi.org/10.1063/1.3253150