Abstract
In many practical situations, e.g., in aerospace applications and in mammography, it is important to test the structural integrity of material structures. We show that interval methods can help.
Similar content being viewed by others
References
Alefeld, G. and Herzberger, J.: Introduction to Interval Computations, Academic Press, New York, 1983.
Chimenti, D. E.: Guided Waves in Plates and Their Use in Materials Characterization, Appl. Mech. Rev. 50 (5) (1997), pp. 247–287.
Clough, R. W. and Penzien, J.: Dynamics of Structures, McGraw Hill, New York, 1986.
Grabec, I. and Sachse, W.: Synergetics of Measurement, Prediction, and Control, Springer Verlag, Berlin-Heidelberg, 1997.
Mal, A. K. and Singh, S. J.: Deformation of Elastic Bodies, Prentice Hall, Englewood Cliffs, NJ, 1991.
Milanese, M. and Belforte, G.: Estimation Theory and Uncertainty Interval Evaluation in Presence of Unknown but Bounded Errors: Linear Families of Models and Estimators, IEEE Transactions on Automatic Control AC-27 (2) (1982), pp. 408–414.
Milanese, M., Norton, J., Piet-Lahanier, H., and Walter, E.: Bounding Approaches to System Identification, Plenum Press, New York, 1996.
Nemir, D., Kreinovich, V., and Gutierrez, E.: Applications of Interval Computations to Earthquake-Resistant Engineering: How to Compute Derivatives of Interval Functions Fast, Reliable Computing 1 (2) (1995), pp. 141–172.
Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
Neumaier, A.: Linear Interval Equations, in: Nickel, K. (ed.), Interval Mathematics 1985, Lecture Notes in Mathematics 212, Springer-Verlag, Berlin, 1986, pp. 109–120.
Rump, S. M.: Solving Algebraic Problems with High Accuracy, in: Kulisch, U. and Miranker, W. (eds), A New Approach to Scientific Computation, Academic Press, New York, 1983, pp. 51–120.
Schweppe, F. C.: Uncertain Dynamic Systems, Prentice Hall, Englewood Cliffs, NJ, 1973.
Viktorov, I. A.: Rayleigh and Lamb Waves: Physical Theory and Applications, Plenum Press, New York, 1967.
Voshchinin, A. P. and Sotirov, G. R.: Optimization in Case of Uncertainty, Tehnika, Moscow, Sofia, 1989 (in Russian).
Walter, E. and Pronzato, L.: Identification of Parametric Models from Experimental Data, Springer-Verlag, Berlin-Heidelberg, 1997.
Wolters, C., Billings, S. A., Pierce, S. G., Worden, K., and Tomlinson, G. R.: Model-Based Fault Detection Using Lamb Waves, in: Proceedings of the International Workshop on Intelligent NDE Sciences for Aging and Futuristic Aircraft, El Paso, TX, September 30-October 2, 1997, pp. 229–244.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Worden, K., Osegueda, R., Ferregut, C. et al. Interval Methods in Non-Destructive Testing of Material Structures. Reliable Computing 7, 341–352 (2001). https://doi.org/10.1023/A:1011415408313
Issue Date:
DOI: https://doi.org/10.1023/A:1011415408313