A closed-form Green’s function solution for the axisymmetric stresses in an elastic coil of superconducting magnets is presented, which provides the components of stress throughout the coil and includes the shear stress in addition to the normal stresses. The Green’s function method permits the development of a solution irrespective of the type of magnetic body forces within the coil. Green’s functions are derived by using finite Hankel transforms appropriate for a cylindrical coil.
Issue Section:
Technical Papers
1.
Lontai, L. M., and Marston, P. G., 1995, “A 100 Kilogauss Quasi-Continuous Cryogenic Solenoid—Part I,” Proceedings of the International Symposium on Magnet Technology, Stanford University, CA, pp. 723–732.
2.
Arp
, V.
, 1977
, “Stresses in Superconducting Solenoids
,” J. Appl. Phys.
, 48
, No. 5
, pp. 2026
–2036
.3.
Gray
, W. H.
, and Ballou
, J. K.
, 1977
, “Electromechanical Stress Analysis of Transversely Isotropic Solenoids
,” J. Appl. Phys.
, 48
, No. 7
, pp. 3100
–3109
.4.
Mitchell
, N.
, and Mszanowski
, U.
, 1992
, “Stress Analysis of Structurally Graded Long Solenoid Coils
,” IEEE Trans. Magn.
, 28
, No. 1
, pp. 226
–229
.5.
Mori
, T.
, and Tanaka
, K.
, 1973
, “Average Stress in Matrix and Average Elastic Energy of Materials With Misfitting Inclusions
,” Acta Metall.
, 21
, No. 5
, pp. 571
–574
.6.
Hasegawa, H., Lee, V., and Mura, T., 1991, “Stress Fields Caused by a Circular Cylindrical Inclusion,” ASME Winter Annual Meeting Atlanta, GA, Paper No. 91-WA/APM-32.
7.
Hu
, K. X.
, and Chandra
, A.
, 1993
, “Interactions Among General Systems of Cracks and Anticracks: An Integral Equation Approach
,” ASME J. Appl. Mech.
, 60
, No. 4
, pp. 920
–927
.8.
Kuo
, C. H.
, and Keer
, L. M.
, 1995
, “Three-Dimensional Analysis of Cracking in a Multilayered Composite
,” ASME J. Appl. Mech.
, 62
, No. 2
, pp. 273
–281
.9.
Noda
, N.
, and Matsuo
, T.
, 1995
, “Singular Integral Equation Method in Optimization of Stress-Relieving Hole: A New Approach Based on the Body Force Method
,” Int. J. Fract.
, 70
, No. 2
, pp. 147
–165
.10.
Markiewicz
, W. D.
, Vaghar
, M. R.
, Dixon
, I. R.
, and Garmestani
, H.
, 1994
, “Generalized Plane Strain Analysis of Solenoid Magnets
,” IEEE Trans. Magn.
, 30
, No. 4
, pp. 2233
–2236
.11.
Bobrov, E. S., 1984, “Electrically Conducting Orthotropic Cylinder Shell in Axial and Radial Magnetic Field,” The Mechanical Behavior of Electromagnetic Solid Continua, Elsevier, Amsterdam, pp. 407–413.
12.
Cox
, A.
, Garmestani
, H.
, Markiewicz
, W. D.
, and Dixon
, I. R.
, 1996
, “Power Series Stress Analysis of Solenoid Magnets
,” IEEE Trans. Magn.
, 32
, No. 4
, pp. 3012
–3015
.13.
Hasegawa
, H.
, 1976
, “Axisymmetric Body Force Problems of an Elastic Half Space
,” Japan Soc. Mech. Eng.
, 19
, No. 137
, pp. 1262
–1269
.14.
Hasegawa, H., Lee, V., and Mura, T., 1992, “Green’s Functions for Axisymmetric Problems of Dissimilar Elastic Solids,” ASME, Summer Mechanics and Materials Meeting, Tempe, AZ, pp. 1–9.
15.
Boresi, P., and Chong, K., 1987, Elasticity in Engineering Mechanics, Elsevier, New York.
16.
Sneddon, I. N., 1951, Fourier Transforms, McGraw-Hill, New York, pp. 82–91.
Copyright © 2001
by ASME
You do not currently have access to this content.