1. TCDIM François-Xavier Nuiry September 16 th 2015

2. Outlines TCDIM Existing design TCDIM locations TCDIM New simulations 2

3. TCDIM Existing design 3 TCDIM MSI 300+290+300mm long or 500mm long OD Ø100mm ID Ø20mm Inconel600 TCDIM MQI 500mm long OD Ø150mm ID losange 304L TCDIM MBIA 500mm long OD Ø150mm ID Ø46mm 304L

4. TCDIM Locations 4 TI2 Collimator New proposed location (ease integration) (m) Mask Mask Design LocationDistance collimator-Mask [m] Fluka simulation TCDIM.20634?416.56? TCDIV.290112953.25 TCDIH.290492972.25TCDIM.29059MQI (losange)2975.733 3.483available TCDIH.292063016.5 TCDIV.292333028.17TCDIM.29241MQI (losange)3032.171 4.001available TCDIH.294643099.17TCDIM.29472MQI (losange)3101.81 2.64available TCDIV.295083108.25TCDIM.29527MSI 500mm long3116.402 8.152 TI8 Collimator Location in Concept Design Report (m) Mask LocationDistance collimator-Mask [m] TCDIM 81759?668.97? TCDIH.874412387.665TCDIM.87459MQI (losange)2396.08 Collimator and Mask to be removed during LS2 TCDIH.876062432.032 TCDIV.876442450.745TCDIM.87658MQI (losange)2456.232 5.487 TCDIV.878042501.125 TCDIH.878222510.43TCDIM.87831MBIA2512.73 2.3available TCDIH.879392566.345TCDIM.87966MQI (losange)2576.219 9.874 TCDIV.881212620.897TCDIM.88132MSI 3*500mm2625.125 4.228 Shall we keep masks associated to momentum collimators?

5. TCDIM New simulations 5 Beam Parameters:  We only consider one bunch train 288 batches  Pulse period between 2 trains 3.6s (only one impact considered)  Bunch train time7.2µs  Beam Energy450GeV  Particles per train288*2.32*10 11 =6.68*10 13  Energy deposition layoutGiven by Fluka files Considered MASKS:  TCDIM.29472. Closest to collimator in TI2. MQI Mask. Losange inner shape. 304L.  TCDIM.87831. Closest to collimator in TI8. MBIA Mask. Circular inner shape. 304L.  TCDIM.29059 and 29241

6. TCDIM New simulations with TA6V grade 5. 6 TA6V [Stress in Mpa] Linear elastic study Titanium TA6V water quenched and tempered*, 1/s strain rateAnnealed Max Equivalent stress (VM)400 Tensile yield strength @ 200C 860724 @ 150C Max Principal stress21.5 Tensile strength @ 200C 960845 @ 150C Min Principal stress-468 Compressive yield strength @ 200C (static test) 539  Even if the stress level is not negligible, TA6V shall be a good candidate for this mask TCDIM.29472 2.64m distance to the collimator 5 sigma impact on the collimator jaw Max ΔT in the mask: 149ºC Properties @ RT Density ~ 4.42g/cc CTE ~ 8.78.10 -6 /K E ~ 110.3 GPa *trempe a l’eau puis revenu

7. TCDIM New simulations with TA6V grade 5. 7 TA6V [Stress in Mpa] Linear elastic study Titanium TA6V water quenched and tempered, 1/s strain rateAnnealed Max Equivalent stress (VM)406 Tensile yield strength @ 200C 860724 @ 150C Max Principal stress29.5 Tensile strength @ 200C 960845 @ 150C Min Principal stress-471 Compressive yield strength @ 200C (static test) 539  There are 46 degrees deference between 5 sigma and 20 sigma impact parameter TCDIM.29472 2.64m distance to the collimator 20 sigma impact on the collimator jaw Max ΔT in the mask: 195ºC Properties @ RT Density ~ 4.42g/cc CTE ~ 8.78.10 -6 /K E ~ 110.3 GPa  Even if the stress level is not negligible, TA6V shall be a good candidate for this mask  A study with the real mask geometry shall be done to check the geometry influence on the generated stress.

8. TCDIM New simulations with TA6V grade 5. 8 TA6V [Stress in Mpa] Linear elastic study Titanium TA6V water quenched and tempered, 1/s strain rateAnnealed Max Equivalent stress (VM)341 Tensile yield strength @ 200C 860724 @ 150C Max Principal stress19 Tensile strength @ 200C 960845 @ 150C Min Principal stress-396 Compressive yield strength @ 200C (static test) 539 TCDIM.29059 3.483m distance to the collimator 5 sigma impact on the collimator jaw Max ΔT in the mask: 129ºC Properties @ RT Density ~ 4.42g/cc CTE ~ 8.78.10 -6 /K E ~ 110.3 GPa  TA6V shall be a good candidate for this mask

9. TCDIM Preliminary Conclusions (simplified model) 9  Titanium TA6V is a good candidate for TCDIM 29472, TCDIM 29059. MASK Material TA6V304LINVARINCONELEnergy dep. in the downstream magnet coil TCDIM.29472 5 σ impact parameter OKShould be OK with the EN1.3912 cold worked grade (old location) High stress, need non linear study (old location) With TA6V mask: 35 J/cm 3, ΔT~10.1C With 304L mask: 33 J/cm 3, ΔT~9.5C With INVAR: 34 J/cm 3, ΔT~10C (old location) With INCONEL: 34 J/cm 3, ΔT~10C (old location) TCDIM.29472 20 σ impact parameter OK xx With TA6V mask: 25.5J/cm 3, ΔT~7.3 C TCDIM.29059 OK xx With TA6V mask: 29 J/cm 3, ΔT~8.3C With 304L mask: 27 J/cm 3, ΔT~7.7C TCDIM.29241 Problem with Fluka file/energy deposition? xx With TA6V mask: 18 J/cm 3, ΔT~5.2C With 304L mask: 17 J/cm 3, ΔT~4.7C TCDIM.87831 Ongoing Problem with Energy deposition? xx With TA6V mask: 10 J/cm 3, ΔT~3C With 304L mask: 9 J/cm 3, ΔT~2.6C  Is the losange shape really needed for mask in front of MQI magnets?

11. TCDIM New simulations with INCONEL 11 Inconel 718 wrought, solution treated and aged [stress in Mpa] Linear elastic study Max Equivalent stress (VM)1258Yield strength @ 280C1121 Max Principal stress122Tensile strength @ 280C1376 Min Principal stress-1472Compressive strength @ 900C-730  Stronger than Stainless Steel 304L.  Non-linear study with bi-linear material property could give more precise results (as done for SS).  Stress remains too high.  Excluded candidate. TCDIM.29472 Ni (~50%) Cr (~18%) Fe (balance) Properties @ RT Density ~ 8.23g/cc CTE ~ 12.3.10 -6 /K E ~ 198 GPa

12. TCDIM New simulations with TITANIUM 12 Titanium Ti 13V 11Cr 3Al solution treated and aged bar [Stress in Mpa] Linear elastic study Max Equivalent stress (VM)333 Tensile yield strength at 200C 929 Max Principal stress23 Tensile strength at 200C 1087 Min Principal stress-390 Compressive yield strength at 200C -946 TCDIM.29472  Acceptable stress level.  Deposited energy on the downstream magnet is acceptable (thanks to G. Steele).  Best candidate. Properties @ RT Density ~ 4.8g/cc CTE ~ 8.75.10 -6 /K E ~ 106 GPa Peak energy deposition in the downstream magnet coils, depending on the mask material SS 304L maskInvar maskInconel maskTitanium mask Peak Energ. Dep on coil35 J/cm^334 J/cm^3 37 J/cm^3 Temp increase in coil 10 ° 11 °

13. TCDIM New simulations (EN-STI) 13 ANSYS Model and Mesh ANSYS MQI Simplified model (no losange shape)  212784 elements  Element midside nodes dropped  SOLID185 element used (8 nodes hexagonal element)  26 elements radially  95 elements longitudinally  88 elements in PHI Cylindrical coordinate system ID: 12 FLUKA MQI Binning:  24 elements radially  40 elements longitudinally  180 elements in PHI