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.
Three-Dimensional Axisymmetric Stress Analysis of Superconducting Magnets Using Green’s Function Solution
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, October 1, 1999; final revision, May 8, 2000. Associate Editor: M.-J. Pindera. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Vaghar, M. R., and Garmestani, H. (May 8, 2000). "Three-Dimensional Axisymmetric Stress Analysis of Superconducting Magnets Using Green’s Function Solution ." ASME. J. Appl. Mech. January 2001; 68(1): 11–18. https://doi.org/10.1115/1.1345700
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