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Identification of Random Material Parameters in Eddy Current ProblemsSLUZALEC, A.
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eddy current, inverse problem, finite element method, Monte Carlo method
stochastic(7), sluzalec(6), rigid(4), random(4), problems(4), optimization(4), inverse(4), heat(4), forming(4), design(4)
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About this article
Date of Publication: 2014-02-28
Volume 14, Issue 1, Year 2014, On page(s): 25 - 28
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2014.01004
Web of Science Accession Number: 000332062300004
SCOPUS ID: 84894627983
Stochastic identification of material parameters in eddy current problems is presented. A method has been developed for computing eddy currents in materials with random magnetic properties. The electromagnetic field is formulated in terms of finite elements. The numerical solutions for deterministic as well as stochastic direct and inverse problems have been described. The proposed direct and inverse formulation describes probabilistic distributions of material data. As an example the stochastic identification of material data in an infinitely long conductor with a circular cross-section is presented. The stochastic solutions are obtained by application of the Monte Carlo method.
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| S. Ang, W. H. Tang, "Probability Concepts in Engineering, Planning and Design," Vol. I, Basic Principles. New York: Wiley; 1975.
 H. Kesten, "Random difference equations and renewal theory for products of random matrices," Acta Mathematica, 131, pp. 207-248, 1973.
[CrossRef] [SCOPUS Times Cited 434]
 H. J. Larson," Probabilistic Models in Engineering Science," Vols. 1 and 2, New York: Wiley; 1979.
 E. Vanmarcke, "Random Fields, Analysis and Synthesis," (2nd edn.). Cambridge, Massachusetts: MIT Press, 1984.
 M. Fisz., "Probability theory and mathematical statistics," Warsaw: PWN. 1967.
 H. T. Banks, K. Kunisch, "Estimation Techniques for Distributed Parameter Systems," Boston: Birkhauser; 1989.
 M. Grzywinski, A. Sluzalec, "Stochastic equations of rigid-thermo-viscoplasticity in metal forming process," Int. J. Eng. Sci. 40, pp. 367-383, 2002.
[CrossRef] [Web of Science Times Cited 12] [SCOPUS Times Cited 12]
 A. Sluzalec, "Simulation of stochastic metal forming process for rigid-viscoplastic material," Int. J. Mech. Sci. 42, pp. 1935-1946, 2000.
[CrossRef] [Web of Science Times Cited 12] [SCOPUS Times Cited 14]
 A. Sluzalec, "Stochastic shape sensitivity in powder metallurgy processing," Applied Mathematical Modelling, 36 (8), pp. 3743-3752, 2012.
[CrossRef] [Web of Science Times Cited 6] [SCOPUS Times Cited 6]
 A. Sluzalec, "Stochastic finite elements in optimization of powder metallurgy materials," Mechanics Based Design of Structures and Machines, 40 (1), pp. 33-41, 2012.
[CrossRef] [Web of Science Times Cited 4] [SCOPUS Times Cited 6]
 A. Sluzalec, "Stochastic sensitivity in metal forming of rigid-poroplastic materials," Structural and Multidisciplinary Optimization, 45 (1), pp. 139-145, 2012.
[CrossRef] [Web of Science Times Cited 4] [SCOPUS Times Cited 5]
 A. Sluzalec, "Temperature field in random conditions," Int. J. Heat Mass Transfer, 34 (1), pp. 55-58, 1991.
[CrossRef] [Web of Science Times Cited 9] [SCOPUS Times Cited 12]
 O. C. Zienkiewicz, The Finite Element Method. New York: McGraw-Hill; 1977.
 J. E. B. Cardoso, J. S. Arora, "Variational method for design sensitivity analysis in nonlinear structural mechanics," AIAA J., 26, pp. 595-603, 1988.
 E. J. Haug, J. S. Arora, Applied optimal design. New York: Wiley, 1979.
 F. Ma, "Approximate analysis of a class of linear stochastic systems with colored noise," Int. J. Eng. Sci., 24, pp. 19-34, 1986.
[CrossRef] [SCOPUS Times Cited 15]
 K. Mosegaard, A. Tarantola, "Monte Carlo sampling of solutions to inverse problems," Journal of Geophysical Research, 100, pp. 431-447, 1995.
[CrossRef] [Web of Science Times Cited 375]
 J. Wang., N. Zabaras, "A Bayesian inference approach to the inverse heat conduction problem," Int. J. Heat Mass Transfer, 47, pp. 3927-3941, 2004.
[CrossRef] [Web of Science Times Cited 89] [SCOPUS Times Cited 107]
 M. Ebrahimi., "Monte Carlo Optimization to solve a Two- dimensional inverse heat conduction problem," Australian Journal of Basic and Applied Sciences, 5 (11), pp. 2097-2105, 2011.
 V. C. Mariani., L. S. Coelho, "Global optimization of thermal conductivity using stochastic algorithms," Inverse Problems in Science and Engineering, 17 (4), pp. 511-535, 2009.
[CrossRef] [Web of Science Times Cited 9] [SCOPUS Times Cited 9]
 I. Pokorska, Re-identification problems in forming of rigid-visco-poroplastic materials, International Journal for Numerical Methods in Engineering, 73, 8, 1077-1093, 2008.
[CrossRef] [Web of Science Times Cited 6] [SCOPUS Times Cited 6]
 W. M. Rucker, K. R. Richter, "Calculation of two-dimensional eddy current problems with the boundary element method," IEEE Trans.Mag., 6, pp. 2429-2431, 1983.
[CrossRef] [SCOPUS Times Cited 26]
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
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