Finite Element Analysis of Ultrasonic Wave Propagation in Anisotropic Materials

유한요소법을 이용한 이방성 재료에서의 초음파 전파 거동 해석

  • 정현조 (원광대학교 기계·시스템 디자인공학부) ;
  • 박문철 (원광대학교 대학원 기계공학과)
  • Published : 2002.10.01


The accurate analysis of ultrasonic wave propagation and scattering plays an important role in many aspects of nondestructive evaluation. A numerical analysis makes it possible to perform parametric studies, and in this way the probability of detection and reliability of test results can be improved. In this paper, a finite element method was employed for the analysis of ultrasonic wave propagation in anisotropic materials, and the accuracy of results was checked by comparing with analytical predictions. The element size and the integral time step, which are the critical components for the convergence of finite element solutions, were determined using a commercial finite element code. Some differences for wave propagation in anisotropic media were illustrated when plane waves are propagating in a unidirectionally reinforced composite materials. When plane waves are propagating in nonsymmetric directions in a symmetric plane, deviation angles between the wave vector and the energy vector were found from finite element analyses and the results agreed well with analytical calculations.


  1. Kishore, N. N., Sridhar, I. and Iyengar, N. G. R., 2000, 'Finite Element Modelling of the Scattering of Ultrasonic Waves by Isolated Flaws,' NDT&E International, Vol. 33, pp. 297-305
  2. Kim, I.-H. and Jeong, H., 1999, 'Flaw Identification Using Ultrasonic Beam Model and Boundary Element Method,' Proc. KSNT Fall Conference, November 26, Seoul, pp. 40-50
  3. Yim, H. and Sohn, Y., 2000, 'Numerical Simulation and Visualization of Elastic Waves using Mass-Spring Lattice Model,' IEEE Trans. on UFFC, Vol. 47, No.3, pp. 549-558
  4. ANSYS user's manual for version 5.5, Swanson Analysis Systems, Houston, TX, 1998
  5. Alleyne, D. and Cawley, P., 1991, 'A TwoDimensional Fourier Transform Method for Measurement of Propagating Multimode Signals,' Journal of the Acoustical Society of America, Vol. 89, No.3, pp. 1159-1168
  6. Musgrave, M. J. P., 1990, Crystal Acoustics, Ch. 6-10, Holden -Day, San Francisco, CA
  7. Wu, T.-T. and Ho, Z.-H., 1990, 'Anisotropic Wave Propagation and Its Applications to NDE of Composite materials,' Experimental Mechanics, December, pp. 313-318
  8. Auld, B. A., 1990, Acoustic Fields and Waves in Solids, Second Ed., Robert E. Krieger Publishing Co., Malabar, FL
  9. Lord, W., Ludwig, R. and You, Z., 1990, 'Developments in Ultrasonic Modeling with Finite Element Analysis,' J of NDE, Vol. 9, pp. 129-143
  10. Hwang, G. W. and Cho, K. Z., 1994, 'A Study on Stress Wave Propagation by Finite Element Analysis,' Transactions of the KSME, Vol. 18, No. 12, pp. 3369-3376
  11. Sim, W. J. and Lee, S. H., 2001, 'A Time-Domain Finite Element Formulation for Transient Dynamic Linear Elasticity,' Transactions of the KSME A, Vol. 25, No.4, pp. 574-581
  12. Moser, F., Jacobs, L. J. and Qu, J., 1999, 'Modeling Elastic Wave Propagation in Waveguides with the Finite Element Method,' NDT&E International, Vol. 32, pp. 225-234
  13. Prosser, W. H., Hamstad, M. A., Gary, J. and O'Gallagher, A., 1999, 'Finite Element and Plate Theory Modeling of Acoustic Emission Waveforms,' J of NDE, Vol. 18, No.3, pp. 83-90
  14. Cho, S.-J. and Jeong, H., 1999 'Analysis of Elastic Wave Propagation in Anisotropic Materials Using Elastodynamic FEM and Ultrasonic Beam Model,' Proc. KSNT Fall Conference, November 26, Seoul, pp. 51-60

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