Skip to main content

Simplified Modelling the Demagnetization of H-Bar with Method of Moments

  • Conference paper
  • First Online:
  • 915 Accesses

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 920))

Abstract

Calculation of distribution of flux density in the constructional elements is required in non-destructive testing. Paper presents the simplified method of calculation of flux density distribution in H-bar based on the generalization of the method of moments. In opposite to finite elements method, the method of moments doesn’t require to solve ill-posed differential equations. As a result, the solution together with software presented in the paper can be helpful in the process of non-destructive evaluation of the mechanical stress distribution in ferromagnetic construction elements.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Zhang, H., Liao, L., Zhao, R., Zhou, J., Yang, M., Xia, R.: The non-destructive test of steel corrosion in reinforced concrete bridges using a micro-magnetic sensor. Sensors 16, 1439 (2016). https://doi.org/10.3390/s16091439

    Article  Google Scholar 

  2. Gontarz, S., Radkowski, S.: Impact of various factors on relationships between stress and eigen magnetic field in a steel specimen. IEEE Trans. Magn. 48, 1143–1154 (2012). https://doi.org/10.1109/TMAG.2011.2170845

    Article  Google Scholar 

  3. Pardo, E., Chen, D.-X., Sanchez, A.: Demagnetizing factors for square bars. IEEE Trans. Magn. 40, 1491–1498 (2004). https://doi.org/10.1109/tmag.2004.827186

    Article  Google Scholar 

  4. Chen, D., Pardo, E., Sanchez, A.: Demagnetizing factors for rectangular prisms. IEEE Trans. Magn. 41, 2077–2088 (2005). https://doi.org/10.1109/TMAG.2005.847634

    Article  Google Scholar 

  5. Jin, J.-M.: The Finite Element Method in Electromagnetic. Wiley, Hoboken (1993)

    Google Scholar 

  6. Zlámal, M.: On the finite element method. Numer. Math. 12, 394–409 (1968)

    Article  MathSciNet  Google Scholar 

  7. Turkowski, M., Szufleński, P.: New criteria for the experimental validation of CFD simulations. Flow Meas. Instrum. 34, 1–10 (2013)

    Article  Google Scholar 

  8. Turkowski, M.: Modeling of two-phase gas-liquid flow in laboratory conditions. Mach. Dyn. Probl. 28, 159–164 (2004)

    Google Scholar 

  9. Logg, A., Mardal, K.A., Wells, G.: Automated Solution of Differential Equations by the Finite Element Method. Springer, Heidelberg (2012)

    Book  Google Scholar 

  10. Szewczyk, R.: Generalization of magnetostatic method of moments for thin layers with regular rectangular grids. Acta Phys. Pol. A 131, 845 (2017)

    Article  Google Scholar 

  11. Szewczyk, R.: The method of moments in Jiles-Atherton model based magnetostatic modelling of thin layers. Arch. Electr. Eng. 6, 27–35 (2018). https://doi.org/10.24425/118989

    Article  Google Scholar 

  12. Harrington, R.F.: Field Computation by Moment Methods. Wiley, Hoboken (1968)

    Google Scholar 

  13. Chadebec, O., Coulomb, J.L., Bongiraud, J.P., Cauffet, G., Le Thiec, P.: Recent improvements for solving inverse magnetostatic problem applied to thin shells. IEEE Trans. Magn. 38, 1005–1008 (2002)

    Article  Google Scholar 

  14. Szewczyk, R.: Magnetostatic Modelling of Thin Layers Using the Method of Moments and Its Implementation in OCTAVE/MATLAB. Lecture Notes in Electrical Engineering, vol. 491. Springer, Heidelberg (2018). https://doi.org/10.1007/978-3-319-77985-0

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roman Szewczyk .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Szewczyk, R. (2020). Simplified Modelling the Demagnetization of H-Bar with Method of Moments. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2019. AUTOMATION 2019. Advances in Intelligent Systems and Computing, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-030-13273-6_67

Download citation

Publish with us

Policies and ethics