Spectral methods in non stationary thermoelasticity: first results
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Data
2001-12-20
Autori
Massidda, Luca
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Abstract
Our interest in the applications of thermoelasticity is mainly due to the research activities in the field of beam dumping facility design for particle accelerators, in particular for the new LHC at CERN. Interaction between high energy particle beams with targets is responsible for sudden and concentrated heating of the material of the targets , this give rise to stress waves propagating inside their structure, that in some cases may be dangerous for structure stability. Well focused beams with high energy produce more intense stress waves with a smaller characteristic wavelength, the simulation of these phenomena becomes more important but also more challenging for the computational effort involved. We have therefore applied the spectral element technology developed at CRS4 to this particular class of problems, the resulting tools have already been used, in an early stage, for a case study for the TOF experiment at CERN. Anyway, deformation and stresses due to temperature gradients are common practice in design. While most of the normal application may be solved under the hypothesis of stationarity for the elastic or the thermal part of the problem, there is a class of applications for which this kind of approximation is not admissible and a transient solution of the thermal and elastic problems is required. Apart from the afore mentioned beam dumping problem, examples may be found in almost every branch of engineering, and their study has long been a subject matter of wide spread research activity and interest, mainly in the field of non classical heat transmission models and thermomechanical interaction. In this repost a basic formulation of the general transient thermoelastic problem will be given, then the solution method, using spectral elements, will be described, and finally a simple reference test case will be analyzed.
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Keywords
LHC , thermoelasticity , beam dump , spectral element method (SEM)