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Abstract

Laser heating of solids results in a high-temperature gradient inside the substrate material. This, in turn, results in high stress levels in the region irradiated by a laser beam. In the present study, laser heating of solid substrate is formulated and a closed-form solution for the stress field inside the substrate material is obtained. Time exponentially decaying laser pulse intensity is employed in the analysis. In order to account for the recoil pressure effect on the resulting stress field, the stress boundary at the solid surface is employed in the analysis. The Laplace transformation method is used when deriving the closed-form solutions. It is found that a stress wave propagates into the solid bulk with a wave speed c₁. The amplitude of the stress wave reduces as the distance from the substrate increases towards the solid bulk. The occurrence of peak stress inside the substrate material differes for the stress-free boundary and the stress boundary at the free surface cases.

Keywords

laser heating thermal stress analytical solution

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References

Yilbas

B. S.

Sahin

Davies

Laser heating mechanism including evaporation process initiating the laser drilling. Int. J. Mach. Tools and Mf, 1995, 35, 1047–1062.

Simon

Grotzke

Kross

Analysis of heat conduction in deep penetration welding with a time-modulated laser beam. J. Phys. D: Appl. Phys., 1993, 26, 862–869.

Square-shaped temperature distribution induced by a Gaussian-shaped laser beam. Appl. Surf. Sci., 1994, 81, 357–364.

Al-Adawi

M. K.

Abel-Naby

M. A.

Shalaby

Laser heating of a two layer system with constant surface absorption: An exact solution. Int. J. Heat and Mass Transfer, 1995, 38 (5), 947–952.

Yilbas

B. S.

Sami

Al-Ferayedhi

Closed form and numerical solution to laser heating process. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 1998, 212 (C2), 141–151.

Yilbas

B. S.

Analytical solution for time unsteady laser pulse heating of semi-infinite solid. Int. J. Mech. Sci., 1997, 39 (6), 671–682.

Yilbas

B. S.

Kalyon

Laser repetitive pulse heating with convective boundary condition at the surface. J. Phys. D: Appl. Phys., 2001, 34, 222–231.

Yilbas

B. S.

A closed form solution for temperature rise inside solid substrate due to time exponentially varying pulse. Int. J. Heat Mass Transfer, 2002, 45, 1993–2000.

Wang

H. G.

Guan

Y. H.

Chen

T. L.

Zhang

J. T.

A study of thermal stresses during laser quenching. J. Mater. Proc. Technol., 1997, 63, 550–553.

10.

Guan

Y. H.

Chen

T. L.

Wang

H. G.

Fang

The thermal stresses and residual stresses during laser phase transformation process. In Proceedings of Thermal Stresses 95, Japan, 5 June 1995, pp. 533–536.

11.

Yilbas

B. S.

Sami

Shuja

S. Z.

Laser-induced thermal stresses on steel surface. Optics and Lasers in Engng, 1998, 30, 25–37.

12.

Kalyon

Yilbas

B. S.

Analytical solution for thermal stresses during the laser pulse heating process. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2001, 215 (C12), 1429–1445.

13.

Yilbas

B. S.

Shuja

S. Z.

One equation, two-equation and kinetic theory: Laser pulse heating. Jap. J. Appl. Physics, 2000, 39, 4018–4027.

14.

Shuja

S. Z.

Yilbas

B. S.

3-Dimensional conjugate heating of a moving slab. Appl. Surf. Sci., 2000, 167, 134–148.

15.

Yilbas

B. S.

Shuja

S. Z.

Arif

A. F. M.

Elastic displacement of the surface due to a laser heating pulse. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2001, 215 (C10), 1271–1282.