In this paper, a general solution of the equations in the linearized theory of magnetoe-lasticity, which was developed by Pao and Yeh (1973) on the basis of Brown’s phenomenological theory of magnetoelasticity (1966), is obtained. As in some applications, the magnetic fields caused by the mechanical singularities in a magnetized elastic half-space are considered. Using the general solution and the Mindlin state of the elastic half-space (1936), the exact three-dimensional solutions for the generated magnetic fields due to various mechanical singularities, such as a single force and a doublet, are obtained in closed form.
Issue Section:
Technical Papers
1.
Brown
W. F.
1965
, “Theory of Magnetoelastic Effects in Ferromagnetism
,” J. Appl. Phys.
, Vol. 36
, pp. 994
–1000
.2.
Brown, W. F., Jr., 1966, Magnetoelastic Interactions, Springer-Verlag, New York.
3.
Gurtin, M. E., 1972, “The Linear Theory of Elasticity,” Encyclopedia of Physics, Vol. VIa/2, Springer-Verlag, Berlin.
4.
Kassir, M. K., and Sih, G. C., 1975, Three-dimensional Crack Problems, Noordhoff International Publishing, The Netherlands.
5.
Meade
K. P.
Keer
L. M.
1984
, “On the Problem of a Pair of Point Forces Applied to the Faces of a Semi-infinite Plane Crack
,” J. Elasticity
, Vol. 14
, pp. 3
–14
.6.
Mindlin
R. D.
1936
, “Force at a Point in the Interior of a Semi-infinite Solid
,” Physics
, Vol. 7
, pp. 195
–202
.7.
Pao
Y.-H.
Yeh
C.-S.
1973
, “A Linear Theory for Soft Ferromagnetic Elastic Solids
,” Int. J. Engng. Sci.
, Vol. 11
, pp. 415
–436
.8.
Shindo
Y.
1977
, “The Linear Magnetoelastic Problem for a Soft Ferromagnetic Elastic Solid with a Finite Crack
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 44
, pp. 47
–51
.9.
Shindo
Y.
1978
, “Magnetoelastic Interaction of a Soft Ferromagnetic Elastic Solid with a Penny-Shaped Crack in a Constant Axial Magnetic Field
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 45
, pp. 291
–296
.10.
Shindo
Y.
1980
, “Singular Stresses in a Soft Ferromagnetic Elastic Solid with Two Coplanar Griffith Cracks
,” Int. J. Solids and Structures
, Vol. 16
, pp. 537
–543
.11.
Wang
M.-Z.
1985
, “Application of the Finite Part of a Divergent Integral in the Theory of Elasticity
,” Appl. Math. and Mech.
, Vol. 6
, pp. 1161
–1169
.12.
Yeh
C.-S.
1989
, “Magnetic Fields Generated by a Mechanical Singularity in a Magnetized Elastic Half Plane
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 56
, pp. 89
–95
.
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