Boundary Element Formulation for Thermal Stresses During Pulsed Laser Heating

[+] Author and Article Information
P. H. Tehrani

Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran

L. G. Hector

Surface Science Division, Alcoa Technical Center, Alcoa Center, PA 15069

R. B. Hetnarski

Department of Mechanical Engineering, Rochester Institute of Technology, Rochester, NY

M. R. Eslami

Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran

J. Appl. Mech 68(3), 480-489 (Dec 05, 2000) (10 pages) doi:10.1115/1.1365155 History: Received June 09, 2000; Revised December 05, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


Maiman,  T. H., 1960, “Stimulated Optical Radiation in Ruby,” Nature (London), 187, p. 493.
Yamawaki,  H., and Saito,  T., 1992, “Computer Simulation of Laser-Generated Elastic Waves in Solids,” Nondestr. Test. Eval., 7, pp. 165–177.
Qui,  T., Tien,  C.-L., Shannon,  M. A., and Russo,  R. E., 1994, “Thermal and Mechanical Responses of Gold Films During Nanosecond Laser-Pulse Heating,” Exp. Heat Transfer, 7, pp. 175–188.
Zhou,  Y. C., Duan,  Z. P., and Yang,  Q. B., 1998, “Failure of SiC Particulate-Reinforced Metal Matrix Composites Induced by Laser Thermal Shock,” Metall. Mater. Trans. A, 29A, pp. 685–692.
Mortia,  N., Watanabe,  T., and Yoshida,  Y., 1991, “Crack-Free Processing of Hot-Pressed Silicon Nitride Ceramics Using Pulsed YAG Laser,” JSME Int. J., Ser. III, 34, pp. 149–153.
Kostrubiec,  F., and Walczak,  M., 1994, “Thermal Stresses in the Tungsten and Molybdenum Surface Layer Following Laser Treatment,” J. Mater. Sci. Lett., 13, pp. 34–36.
Masse,  J.-E., and Barreau,  G., 1993, “Residual Stresses in Steel by Laser Shock Treatment,” C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers, 317, pp. 1015–1018.
Ashby,  M. F., and Easterling,  K. E., 1984, “The Transformation Hardening of Steel Surfaces by Laser Beams—I. Hypo-eutectoid Steels,” Acta Metall., 32, pp. 1935–1948.
Welsh,  L. P., Tuchman,  J. A., and Herman,  J. P., 1988, “The Importance of Thermal Stresses and Strains Induced in Laser Processing with Focused Gaussian Beams,” J. Appl. Phys., 64, pp. 6274–6286.
Uglov,  A. A., Kulik,  A. N., Makorkin,  I. N., and Senik,  A. P., 1994, “On the Calculation of Metallic Cylinder Thermal Stressed State Under Periodic Pulsed Laser Heating,” Fiz. Khim. Obrab. Mater., 4, pp. 12–18 (in Russian).
Germanovich,  L. N., Kill,  I. D., and Tsodokova,  N. S., 1988, “Thermoelastic Stresses in a Half-Space Heated by Concentrated Energy Flux,” Appl. Math. Mech., 52, pp. 525–533 (in Russian).
Suh,  C. S., and Burger,  C. P., 1998, “Thermoelastic Modeling of Laser-Induced Stress Waves in Plates,” J. Therm. Stresses, 21, pp. 829–847.
Cohen,  S. S., Bernstein,  J. B., and Wyatt,  P. W., 1992, “The Effect of Multiple Laser Pulses on Damage to Thin Metallic Films,” J. Appl. Phys., 71, pp. 630–637.
Fesenko,  V. M., 1995, “Thermal-Stressed State of a Tetragonal Symmetry Crystal Under the Laser Radiation Effect,” Inzh.-Fiz. Zh., 68, pp. 160–161 (in Russian).
Hector,  L. G., and Hetnarski,  R. B., 1996, “Thermal Stresses Due to a Laser Pulse: Elastic Solution,” ASME J. Appl. Mech., 63, pp. 38–46.
Kim,  W. S., Hector,  L. G., and Hetnarski,  R. B., 1997, “Thermoelastic Stresses in a Bonded Layer Due to Repetitively Pulsed Laser Radiation,” Acta Mech., 125, pp. 107–128.
Tehrani,  P. H., and Eslami,  M. R., 1998, “Two-Dimensional Time Harmonic Dynamic Coupled Thermoelasticity Analysis by BEM Formulation,” Eng. Anal. Boundary Elem., 22, pp. 245–250.
Nowacki, W., 1986, Thermoelasticity, 2nd ed., Pergamon, New York.
Nowacki, W., 1975, Dynamics Problems of Thermoelasticity, P. H. Francis and R. B. Hetnarski, eds., Noordhoff International Publishers, Leyden.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, 3rd ed., McGraw-Hill, New York.
Hector,  L. G., Kim,  W.-S., and Ozisik,  M. N., 1992, “Propagation and Reflection of Thermal Waves in a Finite Medium Due to Axisymmetric Surface Sources,” Int. J. Heat Mass Transf., 35, pp. 897–912.
Chandrasekaraiah,  D. S., 1989, “Thermoelasticity With Second Sound: A Review,” Appl. Mech. Rev., 39, pp. 355–376.
Sparks,  M., 1976, “Theory of Laser Heating of Solids,” J. Appl. Phys., 47, pp. 837–849.
Hector,  L. G., Kim,  W.-S., and Osizik,  M. N., 1992, “Hyperbolic Heat Conduction due to a Mode Locked Laser Pulse Train,” Int. J. Eng. Sci., 30, pp. 1731–1744.
Koechner, W., 1991, Solid State Laser Engineering, 2nd ed., Springer-Verlag, New York.
Hecht, J., 1992, The Laser Guidebook, 2nd ed., McGraw-Hill, New York.
Lim,  G. C., 1982, “Measurement of the Temporal and Spatial Power Distribution of a High-Power CO2 Laser Beam,” Opt. Laser Technol., 14, pp. 149–153.
Steen, W. M., 1991, Laser Material Processing, Springer-Verlag, New York.
Dominguez, J., 1993, Boundary Elements in Dynamics, Computational Mech., Boston.
Watson, G. N., 1966, A Treatise on the Theory of Bessel Functions, Cambridge University Press, New York.
Brebbia, C. A., Telles, J. C. F., and Wrobel, L. C., 1984, Boundary Element Techniques, Springer-Verlag, New York.
Durbin,  F., 1974, “Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate’s Method,” Comput. J., 17, pp. 371–376.
Incropera, F. P., and DeWitt, D. P., 1981, Fundamentals of Heat Transfer, John Wiley and Sons, New York.
Apollonov,  V. V., Barchukhov,  A. I., Prokhorov,  A. M., 1972, “Thermoelastic Deformations of a Solid Surface by a Laser Beam,” JETP Lett., 15, pp. 172–174.
Nonhof, C. J., 1988, Materials Processing With Nd with Nd-Lasers, Electrochemical Publications Ltd., Ayr, Scotland.
Powell, J., 1993, CO2Laser Cutting, Springer-Verlag, New York.
Wefers, K., and Misra, C., 1987, “Oxides and Hydroxides of Aluminum,” Alcoa Technical Paper No. 19, Revised. Alcoa Technical Center, Alcoa Center, PA.
Krokhin, O., 1972, “Generation of High Temperature Vapors and Plasmas by Laser Radiation,” Laser Handbook, F. T. Arrechi, and E. O. Schulz-Dubois, eds., North-Holland, Amsterdam, Chapter 2.
Zehr, R. L., 1991, “Thermocapillary Convection in Laser Melted Pools During Material Processing,” Ph.D. thesis, Mechanical Engineering Department, University of Illinois at Urbana-Champaign, University of Microfilms International, Ann Arbor, MI.
Hector,  L. G., and Sheu,  S., 1993, “Focused Energy Beam Work Roll Surface Texturing Science and Technology,” J. Mater. Process. Manuf. Sci., 2, pp. 63–117.


Grahic Jump Location
Layer subjected to thermal load from pulsed laser
Grahic Jump Location
Thermal load due to laser pulse train at x=y=0
Grahic Jump Location
T versus t, at y=0.2 L, for tw=3
Grahic Jump Location
u versus t, at y=0.2 L, for tw=3
Grahic Jump Location
v versus t, at y=0.2 L, for tw=3
Grahic Jump Location
σxx versus t, at y=0.2 L, for tw=3
Grahic Jump Location
σyy versus t, at y=0.2 L, for tw=3
Grahic Jump Location
σxy versus t, at y=0.2 L, for tw=3
Grahic Jump Location
T versus t, at y=0.2, for tw=30,000
Grahic Jump Location
u versus t, at y=0.2, for tw=30,000
Grahic Jump Location
v versus t, at y=0.2 L, for tw=30,000
Grahic Jump Location
σxx versus t, at y=0.2 L, for tw=30,000
Grahic Jump Location
σyy versus t, at y=0.2 L, for tw=30,000



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In