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Part of the book series: Library of Congress Cataloging in Publication Data ((RPQN,volume 2A))

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Abstract

High performance weldments for critical service applications require 100% inspection. Balanced against the adaptability of the ultrasonic method for automated inspection are the difficulties encountered with nonhomogeneous and anisotropic materials. This research utilizes crystals and bicrystals of nickel to model austenitic weld metal, where the anisotropy produces scattering and mode conversion, making detection and measurement of actual defects difficult.

Well characterized samples of Ni are produced in a levitation zone melting facility. Crystals in excess of 25 mm diameter and length are large enough to permit ultrasonic measurements of attenuation, wave speed, and spectral content. At the same time, the experiments are duplicated as finite element models for comparison purposes.

Finite element models permit easy description of boundary conditions, geometry, and loading. Direct integration of the wave equation is done with the Newmark-Beta and Wilson-Theta Methods. The usual problem with the large number of degress of freedom can be alleviated with the use of Guyan reduction.

Two-dimensional comparisons showing mode conversion and a plate with a flaw are made. The continued development of this computational tool should increase understanding of quantitative ultrasonic inspection.

This research was sponsored by the U.S. Department of Energy, Basic Energy Sciences Program, Division of Materials Sciences.

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References

  1. O.C. Zienkiewicz, “The Finite Element Method,” 3rd Ed., McGraw-Hill, 1977.

    MATH  Google Scholar 

  2. B.F. Oliver, A levitation zone melter for larger diameter bars with positive process control, Trans. AIME, Vol. 227, 960–965, 1963.

    Google Scholar 

  3. B.R. Dewey, L. Adler, R.T. King and K.V. Cook, Measurements of anisotropic elastic constants of type 308 stainless-steel electroslag welds, Experimental Mechanics, Vol. 17, 420–426, 1977.

    Article  Google Scholar 

  4. B.R. Dewey, L. Adler, R.T. King and K.V. Cook, Application of anisotropic elasticity to centrifugally cast piping, Trans. 4th Int’l. Conf. on Structural Mechanics in Reactor Technology, Vol. 2, Part F, 1977.

    Google Scholar 

  5. M. deBilly, D. Fitting and L. Adler, Preliminary results on the study of nickel crystal, sub. to Materials Evaluation, 1982.

    Google Scholar 

  6. K-J. Bathe and E.L. Wilson, “Numerical Methods in Finite Element Analysis,” Prentice-Hall, 1976.

    MATH  Google Scholar 

  7. PAFEC 75 Data Preparation, Theory and Results, PAFEC, Ltd., Nottingham, United Kingdom, 1978.

    Google Scholar 

  8. SAP-6 User Manual, SAP Users’ Group, University of Southern California, 1979.

    Google Scholar 

  9. R.D. Cook, “Concepts and Applications of Finite Element Analysis,” Wiley, 1981.

    MATH  Google Scholar 

  10. R.J. Guyan, Reduction of stiffness and mass matrices, AIAA Journal, Vol. 3, 380, 1965.

    Article  Google Scholar 

  11. G.L. Goudreau and R.L. Taylor, Evaluation of numerical integration methods in elastodynamics, Computer Methods in Applied Mechanics and Engineering, Vol. 2, No. 1, 69–97, 1972.

    Article  MathSciNet  Google Scholar 

  12. D.S. Kupperman and K.J. Reimann, Ultrasonic wave propagation and anisotropy in austenitic stainless steel weld metal, IEEE Trans, on Sonics & Ultrasonics, Vol. SU-27, No. 1, 7–15, 1980.

    Google Scholar 

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© 1983 Plenum Press, New York

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Dewey, B.R., Oliver, B.F., Pickard, C.A., Adler, L. (1983). Finite Element Modeling of Ultrasonic Inspection of Weldments. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Library of Congress Cataloging in Publication Data, vol 2A. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3706-5_15

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  • DOI: https://doi.org/10.1007/978-1-4613-3706-5_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3708-9

  • Online ISBN: 978-1-4613-3706-5

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