Early Heating Period

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Ahmad Y Aldweik - One of the best experts on this subject based on the ideXlab platform.

  • non equilibrium Heating of a solid surface by a short pulse laser a closed form solution including thermo mechanical coupling
    Journal of Thermal Stresses, 2013
    Co-Authors: B S Yilbas, Ahmad Y Aldweik
    Abstract:

    A closed-form solution for temperature and stress fields is presented for short-pulse laser Heating of the metal surface. Thermo-mechanical coupling between the heat and stress equations is incorporated in the analysis. The lattice site heat equation based on the non-equilibrium energy transport is used to account for the thermal field due to short-pulse Heating. The Lie symmetry method is adopted to obtain the solution for the heat equation with the appropriate boundary conditions. In the analysis, stress wave dissipation is omitted in space due to mathematical simplifications. It is found that thermal displacement is negative in the Early Heating Period and it becomes positive as the Heating Period progresses, which is attributed to thermo-mechanical coupling.

  • analytical solution of hyperbolic heat conduction equation in relation to laser short pulse Heating
    Physica B-condensed Matter, 2011
    Co-Authors: B S Yilbas, Ahmad Y Aldweik, Bin S Mansour
    Abstract:

    In the present study, the hyperbolic heat conduction equation is derived from the Boltzmann transport equation and the analytical solution of the resulting equation appropriate to the laser short-pulse Heating of a solid surface is presented. The time exponentially decaying pulse is incorporated as a volumetric heat source in the hyperbolic equation to account for the absorption of the incident laser energy. The Fourier transformation is used to simplify the hyperbolic equation and the analytical solution of the simplified equation is obtained using the Laplace transformation method. Temperature distribution in space and time are computed in steel for two laser pulse parameters. It is found that internal energy gain from the irradiated field, due to the presence of the volumetric heat source in the hyperbolic equation, results in rapid rise of temperature in the surface region during the Early Heating Period. In addition, temperature decay is gradual in the surface region and as the depth below the surface increases beyond the absorption depth, temperature decay becomes sharp.

B S Yilbas - One of the best experts on this subject based on the ideXlab platform.

  • non equilibrium Heating of a solid surface by a short pulse laser a closed form solution including thermo mechanical coupling
    Journal of Thermal Stresses, 2013
    Co-Authors: B S Yilbas, Ahmad Y Aldweik
    Abstract:

    A closed-form solution for temperature and stress fields is presented for short-pulse laser Heating of the metal surface. Thermo-mechanical coupling between the heat and stress equations is incorporated in the analysis. The lattice site heat equation based on the non-equilibrium energy transport is used to account for the thermal field due to short-pulse Heating. The Lie symmetry method is adopted to obtain the solution for the heat equation with the appropriate boundary conditions. In the analysis, stress wave dissipation is omitted in space due to mathematical simplifications. It is found that thermal displacement is negative in the Early Heating Period and it becomes positive as the Heating Period progresses, which is attributed to thermo-mechanical coupling.

  • analytical solution of hyperbolic heat conduction equation in relation to laser short pulse Heating
    Physica B-condensed Matter, 2011
    Co-Authors: B S Yilbas, Ahmad Y Aldweik, Bin S Mansour
    Abstract:

    In the present study, the hyperbolic heat conduction equation is derived from the Boltzmann transport equation and the analytical solution of the resulting equation appropriate to the laser short-pulse Heating of a solid surface is presented. The time exponentially decaying pulse is incorporated as a volumetric heat source in the hyperbolic equation to account for the absorption of the incident laser energy. The Fourier transformation is used to simplify the hyperbolic equation and the analytical solution of the simplified equation is obtained using the Laplace transformation method. Temperature distribution in space and time are computed in steel for two laser pulse parameters. It is found that internal energy gain from the irradiated field, due to the presence of the volumetric heat source in the hyperbolic equation, results in rapid rise of temperature in the surface region during the Early Heating Period. In addition, temperature decay is gradual in the surface region and as the depth below the surface increases beyond the absorption depth, temperature decay becomes sharp.

  • effect of temperature field on flexural wave characteristics of a bar resembling welding to rigid body
    Advanced Materials Research, 2009
    Co-Authors: Iyad Alzaharnah, S Alkaabi, B S Yilbas
    Abstract:

    The flexural motion of a bar changes during the welding process because of the temperature field, which modifies the modulus of elasticity. Depending on the duration of Heating during the welding process, the wave characteristics of the flexural motion changes; therefore, the wave characteristics can be related with the Heating durations. In the present study, welding of one end of a bar to a rigid body is simulated and flexural motion generated at the free end of the bar through impulse force is analyzed. Temperature field and flexural wave characteristics are computed for different Heating durations. It is found that temperature decays sharply in the region next to the heat source, and this decay becomes gradual as the Heating progresses. The effect of temperature decay on the characteristics of the flexural wave is significant in the Early Heating Period and gradual decay of temperature in the bar modifies the wave characteristics considerably.

Bin S Mansour - One of the best experts on this subject based on the ideXlab platform.

  • analytical solution of hyperbolic heat conduction equation in relation to laser short pulse Heating
    Physica B-condensed Matter, 2011
    Co-Authors: B S Yilbas, Ahmad Y Aldweik, Bin S Mansour
    Abstract:

    In the present study, the hyperbolic heat conduction equation is derived from the Boltzmann transport equation and the analytical solution of the resulting equation appropriate to the laser short-pulse Heating of a solid surface is presented. The time exponentially decaying pulse is incorporated as a volumetric heat source in the hyperbolic equation to account for the absorption of the incident laser energy. The Fourier transformation is used to simplify the hyperbolic equation and the analytical solution of the simplified equation is obtained using the Laplace transformation method. Temperature distribution in space and time are computed in steel for two laser pulse parameters. It is found that internal energy gain from the irradiated field, due to the presence of the volumetric heat source in the hyperbolic equation, results in rapid rise of temperature in the surface region during the Early Heating Period. In addition, temperature decay is gradual in the surface region and as the depth below the surface increases beyond the absorption depth, temperature decay becomes sharp.

Iyad Alzaharnah - One of the best experts on this subject based on the ideXlab platform.

  • effect of temperature field on flexural wave characteristics of a bar resembling welding to rigid body
    Advanced Materials Research, 2009
    Co-Authors: Iyad Alzaharnah, S Alkaabi, B S Yilbas
    Abstract:

    The flexural motion of a bar changes during the welding process because of the temperature field, which modifies the modulus of elasticity. Depending on the duration of Heating during the welding process, the wave characteristics of the flexural motion changes; therefore, the wave characteristics can be related with the Heating durations. In the present study, welding of one end of a bar to a rigid body is simulated and flexural motion generated at the free end of the bar through impulse force is analyzed. Temperature field and flexural wave characteristics are computed for different Heating durations. It is found that temperature decays sharply in the region next to the heat source, and this decay becomes gradual as the Heating progresses. The effect of temperature decay on the characteristics of the flexural wave is significant in the Early Heating Period and gradual decay of temperature in the bar modifies the wave characteristics considerably.

S Alkaabi - One of the best experts on this subject based on the ideXlab platform.

  • effect of temperature field on flexural wave characteristics of a bar resembling welding to rigid body
    Advanced Materials Research, 2009
    Co-Authors: Iyad Alzaharnah, S Alkaabi, B S Yilbas
    Abstract:

    The flexural motion of a bar changes during the welding process because of the temperature field, which modifies the modulus of elasticity. Depending on the duration of Heating during the welding process, the wave characteristics of the flexural motion changes; therefore, the wave characteristics can be related with the Heating durations. In the present study, welding of one end of a bar to a rigid body is simulated and flexural motion generated at the free end of the bar through impulse force is analyzed. Temperature field and flexural wave characteristics are computed for different Heating durations. It is found that temperature decays sharply in the region next to the heat source, and this decay becomes gradual as the Heating progresses. The effect of temperature decay on the characteristics of the flexural wave is significant in the Early Heating Period and gradual decay of temperature in the bar modifies the wave characteristics considerably.