Abstract
Internal magnetic fields launched by the neighbor grains can influence the magneto-mechanical coupling effects of the material. However, these perturbations are often ignored and have not been taken into account in the previous works. Herein, a multiscale model is proposed for describing the magneto-elastic behavior and a localization operation is employed to deal with the perturbation of spontaneous magnetic field in magnetism. The model proposed is discussed, and two simulation results are compared each other on polycrystalline iron. The simulation results demonstrate that there is no great disturbance to the magnetization curve when the spontaneous magnetic field is taken into account. However, the perturbation has an obvious counteraction effect on magnetostrictive curve. The results are consistent with our previous hypothesis and have certain reference value and significance for experimental measurement. This kind of micro-macro strategy could then participate in the understanding of the effect of stress on the magnetic behavior, especially in the case of multiaxial loadings.
Similar content being viewed by others
References
Buiron, N., Hirsinger, L., Billardon, R.: J. Phys. IV. 11, 373–380 (2001)
Daniel, L., Hubert, O.: Equivalent stress criteria for the effect of stress on magnetic behaviour. IEEE Trans. Magn. 46(8), 3089 (2010)
Wang, X.J., Guyomar, D., Yuse, K., Lallart, M., Petit, L.: Impact force detection using an energy flow estimator with piezoelectric sensors. Front. Mech. Eng. China. 5(2), 197–203 (2010)
Guyomar, D., Lallart, M., Monnier, T., Wang, X.J., Petit, L.: Passive impact location estimation using piezoelectric sensors. Struct. Health Monit. 8(5), 357–367 (2009)
Guyomar, D., Wang, X.J., Petit, L., Lallart, M., Monnier, T., Yuse, K., Audigier, D.: Modeling of transient bending wave in an infinite plate and its coupling to arbitrary shaped piezoelements. Sensors Actuators A Phys. 171(2), 93–101 (2011)
Guyomar, D., Lallart, M., Petit, L., Wang, X.J.: Impart location and energy quantification based on the power flow: a low-power requirement approach. J. Sound Vib. 330(13), 3270–3283 (2011)
Buiron, N., Hirsinger, L., Billardon, R.: J. Phys. IV. 9, 187–196 (1999)
Wang, X.J., Huang, Y., Cai, T.: Homogenization of macroscopic magneto-elastic behavior based on a microscopic model. J. Supercond. Nov. Magn. 26(8), 2791–2794 (2013)
Wang, X.J., Hubert, O., He, S., Mballa-Mballa, F.-S., Huang, Y.: Reversible magneto-mechanical modeling of heterogeneous media. J. Supercond. Nov. Magn. 27, 2049–2058 (2014)
Eshelby, J.D.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 241, 376–396 (1957)
Daniel, L., Hubert, O., Buiron, N., Billardon, R.: J. Mech. Phys. Solids. 56, 1018–1042 (2008)
Buiron, N., Hirsinger, L., Billardon, R.: A multiscale model for magneto-elastic couplings. J. Phys. IV. 9, 139–141 (1999)
Chikazumi, S.: Physics of ferromagnetism, second edn. Clarendon Press, Oxford (1997)
A. Hubert, R. Schäfer: Magnetic domains, Springer (1998)
Kuruzar, M.E., Cullity, B.D.: The magnetostriction of iron under tensile and compressive tests. Int. J. Magn. 1, 323–325 (1971)
Funding
The presented work was supported by the Fundamental Research Funds for the Central Universities (lzujbky-2019-22) and the Overseas Personnel Science and Technology Activities Project Merit Funding ([2016] 176).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wang, X., Huang, Y. & Michelitsch, T.M. Modeling of Magneto-Elastic Behavior Under Perturbations of Spontaneous Magnetic Field. J Supercond Nov Magn 33, 707–711 (2020). https://doi.org/10.1007/s10948-019-05219-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-019-05219-0