Stresses in warm iron superconducting dipoles utilizing general elastic constants

Calculations are presented which are suitable for estimating mechanical and thermal stresses in superconducting dipoles being built at Fermilab. For the geometrical structure chosen the calculations are analytically exact though the structure only approximates the physical structure of the Doubler dipole and the beam-line dipoles. The stresses calculated include those resulting from prestrain, cooldown, and magnetic-field excitation. The calculation utilizes elastic constants possessing locally orthotropic symmetry which permits a realistic representation of the subdivision of superconductors into cables and a solution to the elastic equilibrium equations has been found utilizing these elastic constants in a composite. (UK)