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An Analytical Solution to the Thermal Stress and Thermal Strain in a Cylindrical Laser Rod With Longitudinal Temperature Rise

[+] Author Affiliations
Zhigang Li, Xiulan Huai, Yujia Tao

Chinese Academy of Sciences, Beijing, China

Li Wang

University of Science and Technology, Beijing, China

Paper No. IMECE2008-66850, pp. 843-850; 8 pages
doi:10.1115/IMECE2008-66850
From:
  • ASME 2008 International Mechanical Engineering Congress and Exposition
  • Volume 10: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A, B, and C
  • Boston, Massachusetts, USA, October 31–November 6, 2008
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4871-5 | eISBN: 978-0-7918-3840-2
  • Copyright © 2008 by ASME

abstract

In this paper, a mathematical model of the thermal stress and thermal strain in the laser medium was presented. An analytical solution was further derived for the thermal stress and thermal strain in the laser rod through the method of Thermoelastic Displacement Potential and the method of Love Displacement Function. The analytical solution results show that under the traction free boundary conditions, the longitudinal rise of fluid temperature has little effect on the thermal stress profile in the laser rod. However, the thermal strain field caused by both the temperature and the thermal stress fields has an evident variation in the longitudinal direction, which will affect the laser transmission characteristics and the beam quality.

Copyright © 2008 by ASME

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