Numerical Simulation of Ultrasonic Wave Propagation in Anisotropic and Attenuative Solid Materials

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 38, Issue 5, 1991, Pages 436-445

  You, Zhongqing ^a   Lusk, M ^a   Ludwig, Reinhold ^a   Lord, William ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC WAVES--MATHEMATICAL MODELS; MATHEMATICAL MODELS--APPLICATIONS; MATHEMATICAL TECHNIQUES--ALGORITHMS; MATHEMATICAL TECHNIQUES--FINITE ELEMENT METHOD; ULTRASONIC WAVES--MATHEMATICAL MODELS;

ANISOTROPIC/ATTENUATIVE SOLID MATERIALS; AXISYMMETRIC ELASTODYNAMIC FINITE ELEMENT CODE; ENERGY ABSORPTION MEDELLING; FINITE APERTURE TRANSDUCERS; HOOKE'S LAW;

ULTRASONIC WAVES;

EID: 0026221989     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.84288     Document Type: Article

References (23)

1. R. Ludwig and W. Lord, “A finite element formulation for the study of ultrasonic NDT systems,” IEEE Trans. Ultrason. Ferroelec. Freq. Contr., vol. 35, pp. 809–820. 1988.
2. R. Ludwig, D. Moore, and W. Lord. ‘“An analytical and numerical study of transient force excitations on an elastic halfspace,” IEEE Trans. Ultrason. Ferroelec. Freq. Contr., vol. 36. pp. 342–350. 1989.
3. R. L. Roderick and R. Truell, “The measurement of ultrasonic attenuation in solids by the pulse technique and some results in steel.” J. Appl. Phys., vol. 23, no. 2, pp. 267–279. 1952.
4. E. P. Papadakis, “Ultrasonic attenuation caused by scattering in polycrystalline metals,” J. Acoust. Soc. Amer., vol. 37. no. 4, pp. 711–717, 1965.
5. E. P. Papadakis, “Ultrasonic attenuation caused by graphite nodules in nodular cast iron.” J. Acoust. Soc. Amer., vol. 70. no. 3, pp. 782—787. 1981.
6. F. Nadeau, et al., “On the relation between ultrasonic attenuation and fracture toughness in type 403 stainless steel,” Materials Evaluation, vol. 43, no. 1, pp. 101–107. 1985.
7. S. Serabian and R. S. Williams, “Experimental determination of ultrasonic attenuation characteristics using the Roney generalized theory,” Materials Evaluation, vol. 36, no. 1, pp. 55–62. 1978.
8. [8] E. P. Papadakis. “From micrograph to grain-size distribution with ultrasonic applications,” J. Acoust. Soc. Amer., vol. 33, no. 5, pp. 1616–1621, 1961.
9. W. P. Mason. Physical Acoustics and the Properties of Solids. Princeton, NJ: Van Nostrand. 1958.
10. C. Chao and J. D. Achcnbach, “A simple viscoelastic analogy for stress waves,” in Proc. Int. Union of Theoretical and Appl. Mechanics Symp. Stress Waves in Anelastic Solids, vol. 222, Springer Verlag, 1963.
11. R. Lerch and W. Friedrich. “Ultrasonic fields in attenuating media,” J. Acoust. Soc. Amer., vol. 80. no. 4. pp. 1140–1147, 1986.
12. J. P. Charlier and F. Crowet, “Wave equations in linear viscoelastic materials,” Acoust. Soc. Amer., vol. 79. no. 4, pp. 895–900. 1986.
13. Y. Hayakawa, T. Wagai, K. Yosioka. T. Inada. T. Suzuki. H. Yagami and T. Fujii, “Measurement of ultrasound attenuation coefficient by a multifrequency echo technique—Theory and basic experiments,” IEEE Trans. Ultrason. Ferroelec. Freq. Contr., vol. 33. pp. 759–764. 1986.
14. B. A. Auld, Acoustic Waves in Solids, vol. I. New York: Wiley, 1973.
15. M. J. P. Musgrave, “On the propagation of elastic waves in aeolotropic media,” Proc. Royal Soc. London, ser. A. vol. 226, 1954, pp. 339–366.
16. J. G. Rumbold and J. L. Jackson, “A new approach to calibrating for distance amplitude correction and ultrasonic inspection.” Materials Evaluation, vol. 39, no. 4, pp. 459–461, 1981.
17. V. T. Buchwald, “Elastic waves in anisotropic media,” Proc. Royal Soc. London, ser. A, vol. 253, 1959, pp. 563–580.
18. K. J. Langenberg, et al., “Numerical modeling of ultrasonic scattering,” in Mathematical Modelling in Nondestructive Testing. M. Blakemore G. A. Georgiou, Eds. Oxford, UK Clarendon Press 1988 pp. 125-173
19. R. Ludwig and W. Lord. “A finite element study of ultrasonic wave propagation and scattering in an aluminum block,” Materials Evaluation, vol. 46. no. 1, pp. 108-114. 1988.
20. L. I. Bond. M. Punjani and N. Saffari, “Ultrasonic wave propagation and scattering using explicit finite difference methods,” in Mathematical Modelling in Nondestructive Testing, M. Blakemore, G. A. Georgiou, Eds. Oxford, UK: Clarendon Press, 1988, pp. 81-124.
21. M. Lusk, “A semi-numerical solution to wave propagation in hexagonal media” M.S. thesis, Colorado State Univ., Ft. Collins, 1988.
22. O. C. Zienkiewicz. The Finite Element Method. New York: McGraw-Hill. 1977.
23. E. R. Generazio, “The role of the reflection coeflicient in precision measurement of ultrasonic attenuation” Materials Evaluation, vol. 43. no. 8. pp. 995–1004, 1985.