Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-28T07:13:40.539Z Has data issue: false hasContentIssue false

Magnetic Fields Generated by a Mechanical Singularity in a Magnetized Anisotropic Half Plane

Published online by Cambridge University Press:  05 May 2011

C.-S. Yeh*
Affiliation:
Department of Civil Engineering and Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C.-W. Ren*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
* Distinguished Chair Professor, corresponding author
** Ph.D.
Get access

Abstract

The induced magnetic fields generated by a line mechanical singularity in a magnetized anisotropic half plane are considered in this paper. The linear theory for a soft ferromagnetic elastic with multidomain structure, which has been developed by Pao and Yeh [1] is adopted to investigate this problem. By applying the Fourier transform technique, the exact solutions for the generated magnetic inductions due to various mechanical singularities such as single force, a dipole, single couple and dislocation are obtained in a closed form. The distributions of the generated inductions on the surface are shown graphically.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Brown, W. F. Jr., Magnetoelastic Interactions, Springer-Verlag, New York (1966).CrossRefGoogle Scholar
2.Lin, C. B. and Yeh, C. S., “The Magnetoelastic Problem of a Crack in a Soft Ferromagnetic Solid,” International Journal of Solids and Structures, 39, pp. 117 (2002).CrossRefGoogle Scholar
3.Moon, F. C., Magneto-Solid Mechanics, John Wiley and Sons, Inc., New Yark (1984).Google Scholar
4.Pak, Y. E. and Herrmann, G., “Crack Extension Force in a Dielectric Medium,” International Journal of Engineering Science, 24, pp. 13751388 (1986).CrossRefGoogle Scholar
5.Pan, E., “Three-Dimensional Green's Functions in Anisotropic Magneto-Electro-Elastic Biomaterial,” Journal of Applied Mathematics and Physics, 53, pp. 815838 (2002).Google Scholar
6.Pao, Y. H. and Yeh, C. S., “A Linear Theory for Soft Ferromagnetic Elastic Solids,” International Journal of Engineering Science, 11, pp. 415436 (1973).Google Scholar
7.Shindo, Y., “The Linear Magnetoelastic Problem for a Soft Ferromagnetic Elastic Solid with a Finite Crack,” Journal of Applied Mechanics, ASME, 44, pp. 4751 (1977).CrossRefGoogle Scholar
8.Shindo, Y., “Magnetoelastic Interaction of a Soft Ferrmagnetic Elastic Solids with a Penny-Shaped Crack in a Constant Axia Magnetic Field,” Journal of Applied Mechanics, ASME, 45, pp. 291296 (1978).CrossRefGoogle Scholar
9.Shindo, Y., “Singular Stresses in a Soft Ferromagnetic Elastic Solid with Two Coplanar Griffith Crack,” International Journal of Solids and Structures, 16, pp. 537543 (1980).CrossRefGoogle Scholar
10.Tiersten, H. F., “Coupled Magnetomechanical Equations for Magnetically Saturated Insulators,” Journal of Mathematical Physics, 5, pp. 12981318 (1964).CrossRefGoogle Scholar
11.Yeh, C. S., “Magnetic Fields Generated by a Tension Fault,” Bulletin of the College of Engineering, National Taiwan University, 40, pp. 4756 (1987).Google Scholar
12.Yeh, C. S., “Magnetic Fields Generated by a Mechanical Singularity in a Magnetized Elastic Half-Plane,” Journal of Applied Mechanics, ASME, 56, pp. 8995 (1989).CrossRefGoogle Scholar
13.Yeh, C. S. and Ren, C. W., “The Magnetoelastic Problem for a Soft Ferromagnetic Elastic Half-Plane with a Crack and Constant Magnetic Induction,” Journal of Mechanics, 25 (2009).CrossRefGoogle Scholar
14.Ren, C. W., Magnetic Fields Generated by a Mechanical Singularity in a Magnetized Elastic Half Plane, National Taiwan University (2008)Google Scholar