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Abstract

Past research into the numerical modeling of ultrasonic wave propagation and scattering in 2-D has resulted in an implicit Newmarktype finite element algorithm [1]. However, by applying this formulation to analytical line source problems [2], it was found that the resulting matrix sizes and computer execution times, even on powerful supercomputers such as the CYBER 205, become prohibitively large. New algorithmic approaches are therefore required to study realistic 2-D NDT suitable geometries and, more importantly, to extend the numerical model to full 3-D capabilities.

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References

  1. R. Ludwig and W. Lord, “Development in the 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, 1986), Vol. 5A, pp. 73–81.

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  2. R. Ludwig, D. Moore, K.J. Langenberg, and W. Lord, “Analytical and Numerical Predictions of Short Pulsed Elastic Waves in Half-Space,” in Review of Progress in Quantitative NDE, this issue.

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  3. 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, 1988), Vol. 7A, pp. 23–30.

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  4. K.J. Bathe, in Finite Element Procedures in Engineering Analysis, Prentice Hall, 1982

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  5. Z. You and W. Lord, “Finite Element Study of Elastic Wave Interaction with Cracks,” in Review of Progress in Quantitative NDE, this issue.

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© 1989 Springer Science+Business Media New York

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Moore, D., Ludwig, R., Lord, W. (1989). A 3-D Finite Element Formulation for Ultrasonic NDT Phenomena. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0817-1_13

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  • DOI: https://doi.org/10.1007/978-1-4613-0817-1_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8097-2

  • Online ISBN: 978-1-4613-0817-1

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