Based on an energy method analyses of magnetoelastic buckling and bending of ferromagnetic thin plates in transverse, oblique, and longitudinal fields are performed in this paper. A general expression of the critical magnetic field of the plate in a transverse field is presented. It is shown that the critical magnetic field is not only related to the ratio of the thickness to the cantilevered length, but also to the susceptibility and the demagnetizing factors that are primarily dependent on the ratios of the thickness to width and the thickness to the total length. In different cases, main factors that affect the critical magnetic field are discussed. Theoretical predictions agree with experimental results reasonably.

1.
Christopherson
N. S.
,
Peach
M. O.
, and
Darlymple
J. M.
,
1989
, “
Magnetostatic Deformation Experiment: Bending of a Thin Plate
,”
Experimental Mechanics
, Vol.
29
, pp.
432
436
.
2.
Dalrymple
J. M.
,
Peach
M. O.
, and
Viegelahn
G. L.
,
1976
, “
Magnetoelastic buckling: Theory versus Experiment
,”
Experimental Mechanics
, Vol.
16
, pp.
26
31
.
3.
Dalrymple
J. M.
,
Peach
M. O.
, and
Viegelahn
G. L.
,
1977
, “
Edge Effect Influence on Magnetoelastic Buckling of Rectangular Plates
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
44
, pp.
305
310
.
4.
Miya
K.
,
Hara
K.
, and
Someya
K.
,
1978
, “
Experimental and Theoretical Study on Magnetoelastic Buckling of a Ferromagnetic Cantilevered Beam-plate
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
45
, pp.
355
360
.
5.
Moon
F. C.
, and
Pao
Y. H.
,
1968
, “
Magnetoelastic Buckling of a Thin Plate
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
35
, pp.
53
58
.
6.
Moon
F. C.
, and
Hara
K.
,
1982
, “
Buckling Induced Stresses in Martensitic Stainless Steels for Magnetic Fusion Reactors
,”
Nuclear Engineering and Design
, Vol.
71
, pp.
27
31
.
7.
Moon, F. C., 1984, Magneto-solid Mechanics, John Wiley and Sons, New York, PP. 166–169.
8.
Peach
M. O.
,
Christopherson
N. S.
,
Darlymple
J. M.
, and
Viegelahn
G. L.
,
1988
, “
Magnetoelastic Buckling: Why Theory and Experiment Disagree
,”
Experimental Mechanics
, Vol.
28
, pp.
65
69
.
9.
Yang, Wentao, 1998, “An Investigation on Magnetoelastic Buckling and Vibration of a Thin Plate in magnetic fields,” Ph.D. dissertation, Central Iron and Steel Research Institute, Beijing, P. R. China.
10.
Zhong, Wending, 1992, Ferromagnetism, Beijing: Science Press PP. 478–482 (in Chinese).
This content is only available via PDF.
You do not currently have access to this content.