1. 2D STRESS ANALYSIS OF THE TS MAGNET PROTOTYPE Stefania Farinon and Pasquale Fabbricatore

2. Stefania Farinon Young modulus of pure Al bare conductor

3. Stefania Farinon Material properties in the coil cylindrical coordinate system, x=radial, y=axial, z=azimuthal  pure Al/Al alloy temp (K)E (GPa)10 -3 dl/lPoisson 4-30055/794.20.33 300-40050/702.30.33  Rutherford cable temp (K)Ex (GPa)Ey (GPa)Ez (GPa)10 -3 dl/lPoisson 4-300120 15 552.60.2 300-40090 10 501.260.2  fiberglass (parallel to fibers) temp (K)Ex (GPa)10 -3 dl/lPoisson 4-300 232.50.15 300-400 (before impregn.) 51.230.37 300-400 (after impregn.) 231.00.15  fiberglass (perp. to fibers) temp (K)Ex (GPa)10 -3 dl/lPoisson 4-300 157.10.15 300-400 (before impregn.) 11.230.37 300-400 (after impregn.) 153.00.15  friction coefficient:  =0.2 before impregnation  =0.9 after impregnation

4. Stefania Farinon Load steps  winding around steel mandrel (E=210 GPa)  heating up to 400 K → change of fiberglass properties  cooldown to 300 K  steel mandrel removal  shrink fit of external cylinder (axial and radial interference)  cool-down to 4K  energization (Lorentz forces calculated by Mau in different configurations)

5. Stefania Farinon Conclusions of last meeting  winding, impregnation and shrink fitting are not critical operations for conductors  most of the stress in conductors, which strongly depends on the interference, is due to cool-down  energization, even in the worst case (+coil14 +coil15 120% of the current) doesn’t significantly worsen the conductor stress status next slides are focused on the effect of interference on the stress after cool down

6. Stefania Farinon hoop stress as function of radial interference after cool-down

7. Stefania Farinon Von Mises stress as function of radial interference after cool-down

8. Stefania Farinon hoop stress in external cylinder after cool-down interference=0.1 mminterference=0.3 mm

9. Stefania Farinon hoop Von Mises stress as function of radial interference after cool-down

10. Stefania Farinon Mechanical tests

11. Stefania Farinon Mechanical tests @ 300 K Al stabilizer @ 300 K

12. Stefania Farinon hoop stress as function of radial interference after cool-down

13. Stefania Farinon Von Mises stress as function of radial interference after cool-down

14. Stefania Farinon stress in cylinder (no flanges) as function of radial interference after cool-down