Lasers appear to be particularly well suited to drill and shape hard and brittle ceramics, which are almost impossible to netshape to tight tolerances, and are presently machined in industry only by diamond grinding. Unfortunately, the large, focussed heat fluxes that allow the ready melting and ablation of material, also result in large localized thermal stresses within the narrow heat-affected zone, which can lead to microcracks, significant decrease in bending strength, and even catastrophic failure. In order to assess the where, when, and what stresses occur during laser drilling, that are responsible for cracks and decrease in strength, elastic and viscoelastic stress models have been incorporated into our two-dimensional drilling code. The code is able to predict temporal temperature fields as well as the receding solid surface during CW or pulsed laser drilling. Using the resulting drill geometry and temperature fields as well as the receding solid surface during CW of pulsed laser drilling. Using the resulting drill geometry and temperature field, elastic stresses as well as viscoelastic stresses are calculated as they develop and decay during the drilling process. The viscosity of the ceramic is treated as temperature-dependent, limiting viscoelastic effects to a thin layer near the ablation front where the ceramic has softened.

1.
Bahr, H.-A., Schultrich, B., Weim, H.-J., Pflugbeil, I., Ru¨diger, E., Wetzig, K., and Menzel, S., 1993, “Thermoschockrißbildung durch Laserinduzierte Hochtemperaturrelaxation,” Proceedings of Vortragsveranstaltung des DVM-Arbeitskreises Bruchvorga¨nge, Karlsruhe, Germany, Feb., pp. 149–157.
2.
Bang
S. Y.
, and
Modest
M. F.
,
1991
, “
Multiple Reflection Effects on Evaporative Cutting With a Moving CW Laser
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
113
, pp.
663
669
.
3.
Bang, S. Y., and Modest, M. F., 1992, “Evaporative Scribing with a Moving CW Laser—Effects of Multiple Reflections and Beam Polarization,” Proceedings of ICALEO ’91, Laser Materials Processing, Vol. 74, San Jose, CA, pp. 288–304.
4.
Bang
S. Y.
,
Roy
S.
, and
Modest
M. F.
,
1993
, “
CW Laser Machining of Hard Ceramics—Part II: Effects of Multiple Reflections
,”
International Journal of Heat and Mass Transfer
, Vol.
36
, No.
14
, pp.
3529
3540
.
5.
Boley, B. A., and Weiner, J. H., 1960, Theory of Thermal Stresses, John Wiley and Sons, New York.
6.
Bradley
F.
,
1988
, “
Thermoelastic Analysis of Radiation-Heating Thermal Shock
,”
High Temperature Technology
, Vol.
6
, No.
2
, pp.
63
72
.
7.
Copley, S. W., Wallace, R. J., and Bass, M., 1983, “Laser Shaping of Materials,” E. A. Metzbower, ed, Lasers in Materials Processing, American Society for Metals, Metals Park, Ohio.
8.
DeBastiani
D.
,
Modest
M. F.
, and
Stubican
V. S.
,
1990
, “
Mechanisms of Reactions During CO2-Laser Processing of Silicon Carbide
,”
Journal of the American Ceramic Society
, Vol.
73
, No.
7
, pp.
1947
1952
.
9.
Edington
J. W.
,
Rowcliffe
D. J.
, and
Henshall
J. L.
,
1975
, “
The Mechanical Properties of Silicon Nitride and Silicon Carbide Part I: Materials and Strength
,”
Powder Metallurgy International
, Vol.
7
, No.
2
, pp.
82
96
.
10.
Ferrari
M.
, and
Harding
J. H.
,
1992
, “
Thermal Stress Field in Plasma-Sprayed Ceramic Coatings
,”
ASME Journal of Energy Resources Technology
, Vol.
114
, pp.
105
109
.
11.
Folweiler
R. C.
,
1961
, “
Creep Behavior of Pore-Free Polycrystalline Alluminum Oxide
,”
Journal of Applied Physics
, Vol.
32
, No.
5
, pp.
773
778
.
12.
Gross
T. S.
,
Hening
S. D.
, and
Watt
D. W.
,
1991
, “
Crack Formation during Laser Cutting of Silicon
,”
Journal of Applied Physics
, Vol.
69
, No.
2
, pp.
983
989
.
13.
Guan
Q.
, and
Cao
Y.
,
1993
, “
Verification of FE Programs for Welding Thermal Strain—Stress Analysis Using High Temperature Moire´ Measurement
,”
Journal of the International Institute of Welding
, Vol.
31
, No.
1
, pp.
344
347
.
14.
Hasselman, D. P. H., and Singh, J. P., 1986, “Criteria for the Thermal Stress Failure of Brittle Structural Ceramics,” Thermal Stresses I, R. B. Hetnarski, ed., North-Holland, New York, Chapter 4.
15.
Hasselman
D. P. H.
,
Thomas
J. R.
,
Kamat
M. P.
, and
Satyamurthy
K.
,
1980
, “
Thermal Stress Analysis of Partially Absorbing Brittle Ceramics Subjected to Symmetric Radiation Heating
,”
Journal of the American Ceramic Society
, Vol.
63
, Nos.
1–2
, pp.
21
25
.
16.
Hasselman
D. P. H.
,
1967
, “
Approximate Theory of Thermal Stress Resistance of Brittle Ceramics Involving Creep
,”
Journal of the American Ceramic Society
, Vol.
50
, pp.
454
457
.
17.
Lane
J. E.
,
Carter
C. H.
, and
Davis
R. F.
,
1988
, “
Kinetics and Mechanisms of High-Temperature Creep in Silicon Carbide: III, Sintered α-Silicon Carbide
,”
Journal of the American Ceramic Society
, Vol.
71
, No.
4
, pp.
281
295
.
18.
Modest
M. F.
, and
Abakians
H.
,
1986
, “
Evaporative Cutting of a Semi-Infinite Body With a Moving CW Laser
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
108
, pp.
602
607
.
19.
Modest
M. F.
,
1996
, “
Three-Dimensional, Transient Model for Laser Machining of Ablating/Decomposing Materials
,”
International Journal of Heat and Mass Transfer
, Vol.
39
, No.
2
, pp.
221
234
.
20.
Modest
M. F.
,
1997
, “
Laser Through-Cutting and Drilling Models for Ablating/Decomposing Materials
,”
Journal of Laser Applications
, Vol.
9
, No.
3
, pp.
137
146
.
21.
Ramanathan, S., and Modest, M. F., 1990, “Effects of Variable Thermal Properties on Evaporative Cutting with a Moving CW Laser,” Heat Transfer in Space Systems, Vol. HTD-135, ASME, New York, pp. 101–108.
22.
Roy
S.
, and
Modest
M. F.
,
1993
, “
CW Laser Machining of Hard Ceramics—Part I: Effects of Three-Dimensional Conduction and Variable Properties and Various Laser Parameters
,”
International Journal of Heat and Mass Transfer
, Vol.
36
, No.
14
, pp.
3515
3528
.
23.
Singh
J. P.
,
Sumi
N.
,
Thomas
J. R.
, and
Hasselman
D. P. H.
,
1981
, “
Analysis of Thermal Stress Resistance of Partially Absorbing Ceramic Plate Subjected to Asymmetric Radiation, II: Convective Cooling at Front Surface
,”
Journal of the American Ceramic Society
, Vol.
64
, pp.
169
173
.
24.
Sumi
N.
,
Hetnarski
R. B.
, and
Noda
N.
,
1987
, “
Transient Thermal Stresses due to a Local Source of Heat Moving over the Surface of an Infinite Elastic Slab
,”
Journal of Thermal Stresses
, Vol.
10
, pp.
83
96
.
25.
Thomas
J. R.
,
Singh
J. P.
, and
Hasselman
D. P. H.
,
1981
, “
Analysis of Thermal Stress Resistance of Partially Absorbing Ceramic Plate Subjected to Asymmetric Radiation, I: Convective Cooling at Rear Surface
,”
Journal of the American Ceramic Society
, Vol.
64
, No.
3
, pp.
163
173
.
26.
Yamamoto, J., and Yamamoto, Y., 1987, “Laser Machining of Silicon Nitride,” International Conference on Laser Advanced Materials Processing—Science and Applications, Osaka, Japan, High Temperature Society of Japan, Japan Laser Processing Society, pp. 297–302.
This content is only available via PDF.
You do not currently have access to this content.