A Hyperbolic Two-Step Model-Based Finite-Difference Method for Studying Thermal Deformation in a 3-D Thin Film Exposed to Ultrashort Pulsed Lasers

REFERENCES

• D. Y. Tzou , J. K. Chen , and J. E. Beraun , Hot-Electron Blast Induced by Ultrashort-Pulsed Lasers in Layered Media , Int. J. Heat Mass Transfer , vol. 45 , pp. 3369 – 3382 , 2002 .
   Web of Science ®Google Scholar
• J. K. Chen , J. E. Beraun , and C. L. Tham , Comparison of One-Dimensional and Two-Dimensional Axisymmetric Approaches to the Thermomechanical Response Caused by Ultrashort Laser Heating , J. Opt. A: Pure Appl. Opt. , vol. 4 , pp. 650 – 661 , 2002 .
   Google Scholar
• H. Wang , W. Dai , R. Nassar , and R. V. N. Melnik , A Finite Difference Method for Studying Thermal Deformation in a Thin Film Exposed to Ultrashort-Pulsed Lasers , Int. J. Heat Mass Transfer , vol. 49 , pp. 2712 – 2723 , 2006 .
   Web of Science ®Google Scholar
• H. Wang , W. Dai , and R. V. N. Melnik , A Finite Difference Method for Studying Thermal Deformation in a Double-Layered Thin Film Exposed to Ultrashort-Pulsed Lasers , Int. J. Thermal Sci. , vol. 46 , pp. 1179 – 1196 , 2006 .
   Web of Science ®Google Scholar
• H. Wang , W. Dai , and L. G. Hewavitharana , A Finite Difference Method for Studying Thermal Deformation in a Double-Layered Thin Film with Imperfect Interfacial Contact Exposed to Ultrashort-Pulsed Lasers , Int. J. Thermal Sci. , vol. 47 , pp. 7 – 24 , 2008 .
   Web of Science ®Google Scholar
• S. Zhang , W. Dai , H. Wang , and R. V. N. Melnik , A Finite Difference Method for Studying Thermal Deformation in a 3D Thin Film Exposed to Ultrashort Pulsed Lasers , Int. J. Heat Mass Transfer , vol. 51 , pp. 1979 – 1995 , 2008 .
   Web of Science ®Google Scholar
• X. Du and W. Dai , A Finite Difference Method for Studying Thermal Deformation in a 3-D Micro-Sphere Exposed to Ultrashort Pulsed Lasers, Numer. Heat Transfer A , vol. 53, pp. 457–484, 2008.
   Web of Science ®Google Scholar
• T. Q. Qiu and C. L. Tien , Femtosecond Laser Heating of Multi-layer Metals—I. Analysis , Int. J. Heat Mass Transfer , vol. 37 , pp. 2789 – 2797 , 1994 .
   Web of Science ®Google Scholar
• T. Q. Qiu and C. L. Tien , Heat Transfer Mechanisms during Short-Pulse Laser Heating of Metals , ASME J. Heat Transfer , vol. 115 , pp. 835 – 841 , 1993 .
   Web of Science ®Google Scholar
• M. A. Al-Nimr , O. M. Haddad , and V. S. Arpaci , Thermal Behavior of Metal Films—A Hyperbolic Two-Step Model , Heat Mass Transfer , vol. 35 , pp. 459 – 464 , 1999 .
   Web of Science ®Google Scholar
• M. A. Al-Nimr and V. S. Arpaci , The Thermal Behavior of Thin Metal Films in the Hyperbolic Two-Step Model , Int. J. Heat Mass Transfer , vol. 43 , pp. 2021 – 2028 , 2000 .
   Web of Science ®Google Scholar
• M. Al-Odat , M. A. Al-Nimr , and M. Hamdan , Thermal Stability of Superconductors under the Effect of a Two-Dimensional Hyperbolic Heat Conduction Model , Int. J. Numer. Meth. Heat Fluid Flow , vol. 12 , pp. 173 – 177 , 2002 .
   Web of Science ®Google Scholar
• M. Naji , M. A. Al-Nimr , and M. Hader , The Validity of Using the Microscopic Hyperbolic Heat Conduction Model under Harmonic Fluctuating Boundary Heating Source , Int. J. Thermophys. , vol. 24 , pp. 545 – 557 , 2003 .
   Web of Science ®Google Scholar
• M. A. Al-Nimr and M. K. Alkam , Overshooting Phenomenon in the Hyperbolic Microscopic Heat Conduction Model , Int. J. Thermophys. , vol. 24 , pp. 577 – 583 , 2003 .
   Web of Science ®Google Scholar
• J. K. Chen and J. E. Beraun , Numerical Study of Ultrashort Laser Pulse Interactions with Metal Films , Numer. Heat Transfer A , vol. 40 , pp. 1 – 20 , 2001 .
   Web of Science ®Google Scholar
• H. Reismann and P. S. Pawlik , Elasticity, Theory and Applications , p. 135, Wiley , New York , 1980 .
   Google Scholar
• J. K. Chen , W. P. Latham , and J. E. Beraun , Axisymmetric Modeling of Femtosecond-Pulse Laser Heating on Metal Films , Numer. Heat Transfer B , vol. 42 , pp. 1 – 17 , 2002 .
   Web of Science ®Google Scholar
• J. K. Chen , J. E. Beraun , and C. L. Tham , Investigation of Thermal Response Caused by Pulsed Laser Heating , Numer. Heat Transfer A , vol. 44 , pp. 705 – 722 , 2003 .
   Web of Science ®Google Scholar
• S. I. Anisimov , B. L. Kapeliovich , and T. L. Perel 'man, Electron Emission from Metal Surfaces Exposed to Ultrashort Laser Pulses , Sov. Phys. JETP , vol. 39 , pp. 375 – 377 , 1974 .
   Google Scholar
• T. Q. Qiu and C. L. Tien , Short-Pulse Laser Heating on Metals , Int. J. Heat Mass Transfer , vol. 35 , pp. 719 – 726 , 1992 .
   Web of Science ®Google Scholar
• D. Y. Tzou , Macro to Micro Heat Transfer, The Lagging Behavior , Chap. 5, Taylor & Francis , Washington, DC , 1996 .
   Google Scholar
• W. Dai and T. Niu , A Finite Difference Method for Solving Nonlinear Hyperbolic Two-Step Model in a Double-Layered Thin Film Exposed to Ultrashort Pulsed Lasers with Nonlinear Interfacial Conditions , Nonlinear Anal.: Hybrid Syst. C Ser. , vol. 2 , pp. 121 – 143 , 2008 .
   Web of Science ®Google Scholar
• G. W. C. Kaye , Tables of Physical and Chemical Constants and Some Mathematical Functions, , 14th ed. , p. 31, Longman , London, UK , 1973 .
   Google Scholar