Non-Equilibrium Heating of a Solid Surface by a Short-Pulse Laser: A Closed-Form Solution Including Thermo-Mechanical Coupling

Yilbaş, Bekir Sami; Al-Dweik, Ahmad Y.

doi:10.1080/01495739.2013.819263

Cited by 6 publications

(9 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In this section, mathematical formulation of the laser short-pulse heating of solid substrates is given, in line with previous studies (21,22). In this case, the Fourier heating law fails to predict correctly temperature rise in the substrate material.…”

Section: Analysis Of Temperature Fieldmentioning

confidence: 66%

“…Therefore, the governing equations incorporated in the analytical approach need to be modified to include the nonequilibrium effects in line with previous studies (21,22,29,31). In addition, if the time of the process becomes comparable to the thermalization time of the substrate material, the same effect takes place in the process.…”

Section: Analytical Treatment Of Thermal Stresses At Micro/nanosized mentioning

confidence: 98%

“…H expð À gðt þ uxÞÞ À εH expðÀx À gtÞ q E ðx; tÞ ¼ q 0 þ ðε À gÞ ug H expð À gðt þ uxÞÞ À ðε À gÞH expðÀx À gtÞ [22] where u ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 1 À g agðgð1 þ mÞ À εÞ…”

Section: Analysis Of Temperature Fieldunclassified

See 2 more Smart Citations

Thermal Stresses in Micro- and Nanostructures

Yilbaş

2014

Comprehensive Materials Processing

View full text Add to dashboard Cite

Section: Analysis Of Temperature Fieldmentioning

confidence: 66%

Section: Analytical Treatment Of Thermal Stresses At Micro/nanosized mentioning

confidence: 98%

See 1 more Smart Citation

Thermal Stresses in Micro- and Nanostructures

Yilbaş

2014

Comprehensive Materials Processing

View full text Add to dashboard Cite

“…Using the invariant transformations, (16) reduces to an ordinary differential equation. The solution of the ordinary differential equations using the Fourier cosine transform with the appropriate boundary conditions yield [22] L (x, t) ϭ ␤…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Although laser short-pulse heating and thermal stress development was presented in the previous studies [18][19][20][21][22], their main focus was formulation of temperature and stress fields. Thermodynamic irreversibility was not considered in the irradiated region.…”

Section: Introductionmentioning

confidence: 99%

Thermal stress analysis and entropy generation rate due to laser short pulse heating of a metallic surface

2014

View full text Add to dashboard Cite

An analytical solution is developed for thermal stress in exponentially time decaying laser short-pulse heating of a metallic surface. Because the heating duration is short, a nonequilibrium heating model incorporating the electron kinetic theory approach is used to formulate the temperature distribution during the laser heating pulse. Thermomechanical coupling is introduced in the analysis to formulate the thermal stress field. Thermodynamic irreversibility is considered and the entropy generation rate due to heat transfer and thermal stress field is formulated during the heating process. It is found that temperature decays gradually in the surface region and becomes sharp as the distance increases towards the solid bulk. Thermal stress is compressive in the irradiated region. Thermodynamic irreversibility due to heat transfer dominates thermodynamic irreversibility because of the thermal stress field. Résumé :Nous présentons une solution analytique pour la contrainte thermique due à une impulsion laser à décroissance exponentielle sur une surface métallique. Parce que le chauffage est de courte durée, nous utilisons un modèle de chauffage hors d'équilibre incorporant la théorie cinétique des électrons afin de formuler la distribution de température pendant l'impulsion laser. L'introduction d'un couplage thermomécanique permet de décrire le champ de contrainte thermique. Nous tenons compte de l'irréversibilité thermodynamique et nous formulons le taux de génération d'entropie dû au transfert de chaleur et au champ de contrainte thermique pendant le processus, pour trouver que la diminution de température qui est graduelle dans la région du chauffage devient rapide à distance. La contrainte thermique est compressive dans la région du chauffage. L'irréversibilité thermodynamique due au transfert de chaleur est plus importante que celle due à la contrainte thermique. [Traduit par la Rédaction]

show abstract

Experimental and numerical investigations of microwave-induced damage and fracture formation in rock

Zheng

et al. 2021

Journal of Thermal Stresses

View full text Add to dashboard Cite

Non-Equilibrium Heating of a Solid Surface by a Short-Pulse Laser: A Closed-Form Solution Including Thermo-Mechanical Coupling

Cited by 6 publications

References 11 publications

Thermal Stresses in Micro- and Nanostructures

Thermal Stresses in Micro- and Nanostructures

Thermal stress analysis and entropy generation rate due to laser short pulse heating of a metallic surface

Experimental and numerical investigations of microwave-induced damage and fracture formation in rock

Contact Info

Product

Resources

About