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Abstracts Brochure - CERN

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TUPLS126<br />

TUPLS127<br />

TUPLS128<br />

27-Jun-06 16:00 - 18:00 TUPLS — Poster Session<br />

Interaction of the <strong>CERN</strong> Large Hadron Collider (LHC) Beam with Carbon Collimators<br />

N.A. Tahir, D. Hoffmann (GSI) Y. Kadi, R. Schmidt (<strong>CERN</strong>) R. Piriz<br />

(Universidad de Castilla-La Mancha) A. Shutov (IPCP)<br />

258<br />

The LHC will operate at 7 TeV with a luminosity<br />

of 10 34 cm-2s-1. Each beam will<br />

have 2808 bunches, with nominal intensity<br />

per bunch of 1.1x10 11 protons. The energy<br />

stored in each beam of 362 MJ. In a previous paper the mechanisms causing equipment damage in case of a failure<br />

of the machine protection system was discussed, assuming that the entire beam is deflected into a copper target.<br />

Another failure scenario is the deflection of beam into carbon material. Carbon collimators and beam absorbers are<br />

installed in many locations around the LHC to diffuse or absorb beam losses. Since their jaws are close to the beam,<br />

it is very likely that they are hit first when the beam is accidentally deflected. Here we present the results of twodimensional<br />

hydrodynamic simulations of the heating of a solid carbon cylinder irradiated by the LHC beam with<br />

nominal parameters, carried out using the BIG-2 computer code* while the energy loss of the 7 TeV protons in carbon<br />

is calculated using the well known FLUKA code**. Our calculations suggest that the LHC beam may penetrate up to<br />

10 m in solid carbon, resulting in a substantial damage of collimators and beam absorbers.<br />

*V. E. Fortov et al. Nucl. Sci. Eng. 123 (1996) 169. **A. Fasso et al. The physics models of FLUKA: status and recent<br />

development, CHEP 2003, La Jolla, California, 2003.<br />

Permanent Deformation of the LHC Collimator Jaws Induced by Shock Beam Impact: an<br />

Analytical and Numerical Interpretation<br />

A. Bertarelli, O. Aberle, R.W. Assmann, A. Dallocchio, T. Kurtyka,<br />

M. Magistris, M. Mayer, M. Santana-Leitner (<strong>CERN</strong>)<br />

Inspections carried out on jaws of the LHC<br />

collimator prototype, which underwent the<br />

450 GeV robustness test in <strong>CERN</strong> TT40 extraction<br />

line, revealed no visible damage, ex-<br />

cept a permanent deformation of the jaw metal support of ∼300 um. An explanation of this phenomenon is proposed<br />

in this paper. The temperature increase on the metal support induced by the thermal shock, though limited to ∼70 o C,<br />

led to a sudden expansion of the copper-based support which was partially prevented by the inertia of the material<br />

itself, thus generating compressive stresses exceeding the elastic limit of OFE-copper. An analytical assessment of<br />

the process, followed by a finite-element transient elasto-plastic analysis, is presented. Numerical results are in good<br />

agreement with measured data. In order to confirm this analysis, a special test on series production jaws, where OFEcopper<br />

has been replaced by Dispersion Strengthened Copper (Glidcop®), is scheduled for the second half of 2006.<br />

A New Analytical Method to Evaluate Transient Thermal Stresses in Cylindrical Rods Hit<br />

by Proton Beams<br />

This paper presents an analytical solution<br />

A. Dallocchio, A. Bertarelli, T. Kurtyka (<strong>CERN</strong>)<br />

for the thermo-mechanical problem of CNGS<br />

target rods rapidly heated by fast extracted<br />

high energy proton beams. The method allows the computation of the dynamic transient elastic stresses induced by a<br />

proton beam hitting off-axis the target. The studies of such dynamic thermo-mechanical problems are usually made<br />

via numerical methods. However, an analytical approach is also needed to quickly provide reference solutions for the<br />

numerical results. An exact solution for the temperature field is first obtained, using Fourier-Bessel series expansion.<br />

Quasi-static thermal stresses are then computed as a function of the calculated temperature distribution, making use

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