Solving 3-D eddy current problem containing thin cracks using dual formulations and shell elements

Solving 3-D eddy current problem containing thin cracks using dual formulations and shell elements

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The thin cracks in three-dimensional eddy current problems, frequently encountered in nondestructive testing applications, are modelled by surface domains of zero thickness. The double layer nodal and edge shell elements are employed in the dual eddy current formulations for the interpolation of scalar and vector potentials in the cracks. With the help of shell elements, the volume integrals corresponding to the magnetic energy and joule losses in the cracks are transformed to surface integrals. This modelling allows consideration of the field jump across the thin cracks provided that the field continuity on the edge of the crack is correctly taken into account. An eddy current problem in presence of thin cracks is solved using the model and results are compared with those of conventional finite element modelling.


    1. 1)
      • D. Rodger , N. Atkinson , P.J. Leonard . Transient 3D eddy currents in thin sheet conductors. IEEE Trans. Magn. , 6 , 2691 - 2693
    2. 2)
      • L. Krähenbuhl , D. Muller . Thin layers in electrical engineering. Example of shell models in analysingeddy-currents by boundary and finite elementmethods. IEEE Trans. Magn. , 2 , 1450 - 1455
    3. 3)
      • I.D. Mayergoyz , G. Bedrosian . On calculation of 3-D eddy currents in conducting and magnetic shells. IEEE Trans. Magn. , 3 , 1319 - 1324
    4. 4)
      • C. Guérin , G. Tanneau , O. Meunier , X. Brunotte , J.B. Albertini . Three dimensional magnetostatic finite elements for gaps and iron shellsusingmagnetic scalar potentials. IEEE Trans. Magn. , 5 , 2885 - 2588
    5. 5)
      • O. Biro , I. Bardi , K. Preis , W. Renhart , K.R. Richlet . A finite element formulation for eddy current carrying ferromagneticthin sheets. IEEE Tran. Magn. , 2 , 1173 - 1178
    6. 6)
      • Z. Badics , H. Komatsu , Y. Matsumoto , K. Aoki , F. Nakayasu , K. Miya . A thin sheet finite element model in eddy current NDE. IEEE Trans. Magn. , 5 , 3080 - 3083
    7. 7)
      • Ren, Z.: `Degenerated Whitney prism elements – general nodal and edge shellelements for field computation in thin structures', COMPUMAG'97, November 1997, Rio de Janeiro.
    8. 8)
      • A. Bossavit . Whitney forms: a class of finite elements for three dimensionalcomputations in electromagnetism. IEE Proc. A , 8 , 493 - 500
    9. 9)
      • Z. Ren , A. Razek . Computation of 3-D electromagnetic field usingdifferential forms based elements and dual formulations. Int. J. Numer. Model. Electron. Netw., Devices Fields , 81 - 98
    10. 10)
      • Ren, Z., Razek, A.: `3D eddy currents computation: Field or potential formulation?', Proceedings of ICEF'96, October 1996, Wuhan, China.

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