The thermal stress field in an elastic half-space due to a single pulse from a laser is derived for the general case of a mixed-mode structure beam. The mode structure models the output from a cylindrical laser resonator and thus defines a radially symmetric intensity distribution about the beam axis. The functional form of the temporal pulse profile is quite general in that it models the temporal pulse shapes emitted by a laser that is either internally pulsed through radio frequency modulation of its power supply, Q-switched, or mode locked. It also models a continuous beam that is mechanically chopped through external means.

1.
Englisch
W. R.
,
1977
, “
Laser Processing of Materials
,”
Battelle Information Journal
, Vol.
15
, pp.
7
19
.
2.
Gardner, P., 1992, Coherent, Inc. private communication with L. G. Hector, Jr.
3.
Geller
M. A.
,
Gorelik
G. E.
,
Pavlyukevich
N. V.
, and
Parnas
A. L.
,
1986
, “
Calculation of Temperature and Thermal Stresses in Quenching Steel with Laser and Electron Beams
,”
Physics and Chemistry of Materials Treatment
, Vol.
20
, No.
4
, pp.
314
316
, (in Russian).
4.
Germanovich
L. N.
,
Kill
I. D.
, and
Tsodokova
N. S.
,
1988
, “
Thermoelastic Stresses in a Half-Space Heated by Concentrated Energy Flux
,”
Applied Mathematics and Mechanics
, Vol.
52
, No.
4
, pp.
525
533
, (in Russian).
5.
Hector
L. G.
,
Kim
W.-S.
, and
O¨zisik
M. N.
,
1992
, “
Hyperbolic Heat Conduction Due to a Mode-Locked Laser Pulse Train
,”
International Journal of Engineering Science
, Vol.
30
, No.
12
, pp.
1731
1744
.
6.
Hector, L. G. Jr., and Sheu, S., 1991, Brightness Enhancement with Textured Roll, United States Letters Patent #4,996, 113, United States Patent and Trademark Office, Arlington, VA.
7.
Hector
L. G.
, and
Sheu
S.
,
1993
, “
Focused Energy Beam Work Roll Surface Texturing Science and Technology
,”
Journal of Materials Processing and Manufacturing Science
, Vol.
2
, No.
1
, pp.
63
117
.
8.
Hetnarski, R. B., and DeBolt, F., 1991, “Analysis of Laser Produced Stresses in a Structure,” Proceedings of the Second Pan American Congress of Applied Mechanics, P. Kittl, D. Mook, G. Reinke, eds., sponsored by the American Academy of Mechanics and published by the PACAM 2 Congress Committee, Valparaiso, Chile, pp. 364–367.
9.
Kim
W.-S.
, and
Hector
L. G.
,
1991
, “
The Influence of Temporal Pulse Profile on Hyperbolic Heat Conduction in Materials Subjected to Repetitively Pulsed Laser Radiation
,”
Mechanics Research Communications
, Vol.
18
, No.
6
, pp.
419
428
.
10.
Koechner, W., 1988, Solid-State Laser Engineering, 2nd ed. Springer-Verlag, New York.
11.
Nonhof, C. J., 1988, Materials Processing with Nd-Lasers, Electrochemical Publications Ltd., Ayr, Scotland.
12.
Nowacki, W., 1986, Thermoelasticity, 2nd ed. Pergamon, New York.
13.
Oswald
R. B.
,
McLean
F. B.
,
Schallhorn
D. R.
, and
Buxton
L. D.
,
1971
, “
One-Dimensional Thermoelastic Response of Solids to Pulsed Energy Deposition
,”
Journal of Applied Physics
, Vol.
42
, No.
9
, pp.
3463
3473
.
14.
Popov
V. P.
,
Lanin
A. G.
,
Kolesov
V. S.
, and
Bochkov
A. N.
,
1983
, “
Determination of Thermoplastic Surface Strains by the Local Heating Method
,”
Physics and Chemistry of Materials Processing
, Vol.
17
, No.
6
, pp.
70
73
.
15.
Powell, J., 1993, CO2 Laser Cutting, Springer-Verlag, New York.
16.
Steen, W. M., 1991, Laser Material Processing, Springer-Verlag, New York.
17.
Volchenok
I. A.
, and
Rudin
G. I.
,
1988
, “
Thermoelastic Stresses in a Multilayer Plate Upon Action of Laser Radiation
,”
Journal of Engineering Physics
, Vol.
55
, No.
5
, pp.
1286
1290
.
18.
Welsh
L. P.
,
Tuchman
J. A.
, and
Herman
I. P.
,
1988
, “
The Importance of Thermal Stresses and Strains Induced in Laser Processing with Focused Gaussian Beams
,”
Journal of Applied Physics
, Vol.
64
, No.
11
, pp.
6274
6286
.
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