Abstract
In this paper, we present a practical application of the methodologies introduced by Jaime Gil-Aluja and Lotfi Zadeh in Civil and Electrical Engineering. Metallic plates bi-axially loaded deform producing dangerous mechanical stresses that are not visually appreciable. Being the representation construction of such stress conditions by 2D images extremely complex, in this work, we propose to generate suitable Eddy Currents (ECs) images to translate the information content of mechanical stresses into representative electric signals easier to image. By grouping the produced images in different classes related to different bi-axial loads and in a single class all the images referring to plates in absence of loads, the evaluation of the integrity of a plate is transformed into a problem of classification/decision. This further step is carried out by means of the measure of Fuzzy Similarities (Ss) between the 2D EC signal at hand and the prototypical classes. The achieved performance are comparable to more established approaches that are commonly plagued by a higher computational load. The proposed methodology is also shown to be able to manage uncertainty in an application of relevant industrial interest.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aluja, J.G.: Towards a new paradigm of investment selection in uncertainty. Fuzzy Sets Syst. 84(2) (1996)
Aluja, J.G.: Investment in Uncertainty. Kluwer Academic Publishers, Dordrecht (1998)
Aluja, J.G.: The Interactive Management of Human Resources in Uncertainty. Kluwer Academic Publishers, Dordrecht (1986)
Aluja, J.G.: Elements for a Theory of Decision in Uncertainty. Kluwer Academic Publishers, Dordrecht (1999)
Dubois, D., Prade, H.: Fundamental of Fuzzy Sets. Springer (2000)
Ericksen, J.L.: Equilibrium of bar. J. Elast. 25, 191–201 (1975)
Nadai, A.: Theory of Flow and Fracture of Solids. Mc Graw-Hill, New York (1950)
Hartl, D.J., Lagoudas, D.C.: Thermomechanical Characterization of Shape Memory Alloy Materials, Shape Memory Alloys, pp. 53–119. Springer, Berlin (2008)
Song, G., et al.: Applications of shape memory alloys in civil structures. Eng. Struct. 28(9), 1266–1274 (2006)
Chen, Y.C.: Bifurcation and stability of homogeneous of an elastic body under load tractions with \(Z2\) symmetry. J. Elast. 25, 117–136 (1991)
Metzger, M., Seifert, T.: Computational assessment of the microstructure-dependent plasticity of lamellar gray cast iron. Part I: Methods and microstructure based models. Int. J. Solids Struct. 66, 184–193 (2015)
Bechle, N.J., Kyriakides, S.: Evolution of phase transformation fronts and associated thermal effects in a \(NiTi\) tube under a biaxial stress state. Extreme Mech. Lett. 8, 55–63 (2016)
Xue, X., Liao, J., Vincze, G., Pereira, A.B., Barlat, F.: Experimental assessment of nonlinear elastic behaviour of dual-phase steels and application to springback prediction. Int. J. Mech. Sci. 117, 1–15 (2016)
Droniou, J., Lamichhane, B.P.: Gradient schemes for linear and non-linear elasticity equations. Numerische Mathematik 129(2), 251–277 (2015)
Ball, J.M., James, R.D.: Proposed experimental test of a theory of fine microstructures and the two-wells problem. Philos. Trans. R. Soc. Lond. 38, 389–450 (1992)
Pal, S.K., King, R.A., Hishim, A.: Index of area coverage of fuzzy image subset and object extraction. Pattern Recogn. Lett. 11, 831–841 (1992)
Rosenfeld, A.: The fuzzy geometry of image subsets. Pattern Recogn. Lett. 2, 311–317 (1984)
Dubois, D., Prade, H.: Ranking fuzzy numbers in the setting of possibility theory. Inf. Sci. 30(3), 193–224 (1983)
Tversky, A.: Features of similarity. Psycol. Rev. 84(4), 327–352 (1977)
Versaci, M., Calcagno, S., Cacciola, M., Morabito, F.C., Palamara, I., Pellican, D.: Innovative fuzzy techniques for characterizing defects in ultrasonic nondestructive evaluation. In: Ultrasonic Nondestructive Evaluation Systems. Industrial Application Issues, pp. 201–232. Springer, Heidelberg (2015)
Pellicanó, D., Palamara, I., Cacciola, M., Calcagno, S., Versaci, M., Morabito, F.C.: Fuzzy similarity measures for detection and classification of defects in CFRP. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 60, 1917–1927 (2013)
Chaira, T., Ray, A.K.: Fuzzy Image Processing and Applications with MatLab. CRC Press, Taylor & Francis Group, Boca Raton, New York (2010)
Versaci, M.: Fuzzy approach and Eddy currents NDT/NDE devices in industrial applications. Electron. Lett. 52(11), 943–945 (2016)
Kohonen, T.: Self-Organizing Maps, Series 30. Springer, Heidelberg (2001)
Pavo, J., Gasparics, A., Sebestyen, I., Vertesy, G., Darczi, C.S., Miya, K.: Eddy Current Testing with Fluxset Probe. Applied Electromagnetics and Mechanincs. JSAEM, Tokyo (1996)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Versaci, M., Morabito, F.C. (2018). Evaluation of Structural Integrity of Metal Plates by Fuzzy Similarities of Eddy Currents Representation. In: Berger-Vachon, C., Gil Lafuente, A., Kacprzyk, J., Kondratenko, Y., Merigó, J., Morabito, C. (eds) Complex Systems: Solutions and Challenges in Economics, Management and Engineering. Studies in Systems, Decision and Control, vol 125. Springer, Cham. https://doi.org/10.1007/978-3-319-69989-9_29
Download citation
DOI: https://doi.org/10.1007/978-3-319-69989-9_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69988-2
Online ISBN: 978-3-319-69989-9
eBook Packages: EngineeringEngineering (R0)