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On the possibility of simplifying the thermoelastic equation

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Abstract

By some very simple algebraic manipulations, it is shown as the linear thermoelastic equation can be solved by looking for the solutions of much simpler vectorial equations. As an example the displacements of the reflecting surface of a mirror illuminated by a high power laser beam have been evaluated.

Sommario

Utilizzando alcuni semplici passaggi algebrici, viene mostrato come l'equazione degli spostamenti termoelastici possa essere risolta cercando le soluzioni di equazioni vettoriali molto più semplici. Come esempio vengono calcolate le deformazioni della superficie riflettente di uno specchio investito da un fascio laser di grande potenza.

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References

  1. B. A. Boley and J. H. Weiner,Theory of thermal stresses, J. Wiley and Sons, New York 1960.

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  2. L. D. Landau and E. M. Lifshitz,Theory of elasticity, Pergamon Press, Oxford 1959

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  3. See for instance P. M. Morse and M. Feshbach,Methods of theoretial physics, McGraw-Hill, New York 1953

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  4. A. Cutolo,Analysis of the interactions between a cooled mirror and a high power laser beam. Alta Frequenza49, 264 (1980)

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  5. A. Cutolo, P. Gay, S. Solimeno,Mirror deformations and wavefront aberrations caused by a cw high power laser beam. Optica Acta27, 1105 (1980).

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Author notes

  1. Antonello Cutolo

    Present address: Istituto Elettrotecnico, Università di Napoli, Via Claudio 21, Napoli, Italy

Authors and Affiliations

  1. Applied Mathematical Physics Institute, Technical University of Denmark, Lyngby, Denmark

    Antonello Cutolo

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  1. Antonello Cutolo
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Cutolo, A. On the possibility of simplifying the thermoelastic equation. Z. angew. Math. Phys. 33, 428–433 (1982). https://doi.org/10.1007/BF00944453

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  • DOI: https://doi.org/10.1007/BF00944453

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