Abstract
For most of the complicated geometries encountered in ultrasonic nondestructive evaluation (NDE) applications, finite element (FE) solutions [1–4] of the elastic wave equation are usually limited because of the spatial discretization required for accuracy. Artificial boundaries introduced to limit the spatial dimensions of a given problem can cause unwanted reflections which corrupt the desired response. The simplest approach to this problem is to ensure that the model is large enough for the unwanted reflections to be separated from the desired signal in the time domain. But this becomes very expensive for most applications, especially for full 3-D geometries. Models for infinite media, therefore, are very important for numerical modeling in 3-D and even in many 2-D practical applications.
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References
R. Ludwig and W. Lord, “A Finite Element Formulation for the Study of Ultrasonic NDT Systems.” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 35. No. 6, pp. 809–820 (Nov.. 1988 ).
R. Ludwig and W. Lord, “Developments in Finite Element Modeling of Ultrasonic NDT Phenomena,- in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti (Plenum Press, New York. 1986), Vol. 5A, pp. 73–81.
Z. You, W. Lord and R. Ludwig. “Numerical Modeling of Elastic Wave Propagation in Anisotropic Materials,” in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti (Plenum Press, New York, 1988 ), Vol. 7A, pp. 23–30.
Z. You and W. Lord. Finite Element Study of Elastic Wave Interaction with Cracks, in Review of Progress in Quantitative NDE, edited by D. O. Thompson and D. E. Chimenti (Plenum Press, New York, 1989 ), Vol. 8A, pp. 109–116.
J. Lysmer and G. Waas, “Shear Waves in Plane Infinite Structures,” Journal of the Engineering Mechanics Division, ASCE 98, pp. 85–105 (1972).
F. Kausel, J. M. Roedotdotsset, and G. Wars, “Dynamic Analysis of Footings on Layered Strata,” Journal of the Engineering Mechanics Division, ASCE 103, pp. 569–588 (1975).
R. Clayton and B. Engquist, “Absorbing Boundary Conditions for Acoustic and Elastic Wave Equations.” Bulletin of the Seismological Society of’ America, Vol. 67, No. 6, pp. 1529–1560 (1977).
J. Lysmer and R. L. Kuhlemeyer, “Finite Dynamic Model for Infinite Media,” Journal of the Engineering Mechanics Division. ASC 95. pp. 859–877 (1969).
W. D. Smith, “A Nonreflecting Plane Boundary for Wave Propagation Problems,” Journal of Computational Physics, Vol. 15, pp. 492–503 (1973).
E. Kausel and J. L. Tassoulas, “Transmitting Boundaries: A Closed-Form Comparison,” Bulletin of the Seismological Society of America, Vol. 71, No. 1. pp. 143–159 (1981).
W. White, S. Valliappan and I. K. Lee, “Unified Boundary for Finite Dynamic Models,” Journal of the Engineering Mechanics Division, ASCE 103, pp. 949–964 (1977).
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You, Z., Lord, W. (1990). Elastic Wave Propagation in an Infinite Media. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5772-8_15
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DOI: https://doi.org/10.1007/978-1-4684-5772-8_15
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