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L. V. Shmeleva et al.
λ 0s (n · gradT 0s ) = (1 − L)λ s (n · gradT s ).
This boundary condition is formulated by introducing the coefficient of total heat
loss L [18]. In it, the right-hand side of the equation is completely determined by the
gas problem with condition (13).
If surface destruction is absent, then the gas part of the problem is completely
absent. In this case the solid-state part of the problem is reduced to (15), (16), and
(18) with the corresponding boundary conditions. The boundary condition (4) to (15)
reduces to the form (v 0s · n) = 0, that is, to the condition of surface immobility. The
boundary condition to (16) will have the form (6) taking into account Hooke’s laws.
Equation (18) is used with the boundary condition reduced to the form (12), where
q s is the meaning of the flow that has reached the surface and, in the absence of
destruction, coincides with the output flow q in (in vacuum), since has no losses in a
plasma-gas medium.
5 Conclusion
The paper formulates the problem of the interaction of high-power laser pulsed
radiation with a solid surface on the basis of a complete system of equations of
continuum mechanics. Particular attention is paid to the process of the sublimation
type, when the gas phase arises immediately from the solid, bypassing the liquid
phase. The criterion for the absence of surface melting is determined. Also, all the
boundary conditions are formulated: the balance of the mass flow, the balance of the
flow of momentum, and the balance of energy flow. Each of them, in the presence of
destruction, takes into account the characteristics of both coexisting phases.
A methodically general approach to the formulation of problems arising in the
modeling of destructive and non-destructive surface treatments by powerful energy
flows has been developed. Application of this approach allows us to separate the
system of equations and boundary conditions so that each of the parts of the system
can be considered independently of the other.
References
1. Anisimov SI, Luk’yanchuk BS (2002) Selected problems of laser ablation theory. Phys Uspekhi
45(3):293. https://doi.org/10.1070/pu2002v045n03abeh000966
2. Ionin AA, Kudryashov SI, Seleznev LV, Sinitsyn DV (2009) Tunneling ionization of air in the
strong field of femtosecond laser pulses. JETP Lett 90:181. https://link.springer.com/article/
10.1134%2FS0021364009150053
3. Abramov DV, Arakelyan SM, Makov SA, Prokoshev VG, Khor’kov KS (2013) Formirovaniye
sistemy mikrokraterov na poverkhnosti titana pri vozdeystvii femtosekundnym lazernym
izlucheniyem v usloviyakh bystrogo okhlazhdeniya. Pis’ma v ZHTF 39(16):14–22 (in Russian)
L. V. Shmeleva et al.
λ 0s (n · gradT 0s ) = (1 − L)λ s (n · gradT s ).
This boundary condition is formulated by introducing the coefficient of total heat
loss L [18]. In it, the right-hand side of the equation is completely determined by the
gas problem with condition (13).
If surface destruction is absent, then the gas part of the problem is completely
absent. In this case the solid-state part of the problem is reduced to (15), (16), and
(18) with the corresponding boundary conditions. The boundary condition (4) to (15)
reduces to the form (v 0s · n) = 0, that is, to the condition of surface immobility. The
boundary condition to (16) will have the form (6) taking into account Hooke’s laws.
Equation (18) is used with the boundary condition reduced to the form (12), where
q s is the meaning of the flow that has reached the surface and, in the absence of
destruction, coincides with the output flow q in (in vacuum), since has no losses in a
plasma-gas medium.
5 Conclusion
The paper formulates the problem of the interaction of high-power laser pulsed
radiation with a solid surface on the basis of a complete system of equations of
continuum mechanics. Particular attention is paid to the process of the sublimation
type, when the gas phase arises immediately from the solid, bypassing the liquid
phase. The criterion for the absence of surface melting is determined. Also, all the
boundary conditions are formulated: the balance of the mass flow, the balance of the
flow of momentum, and the balance of energy flow. Each of them, in the presence of
destruction, takes into account the characteristics of both coexisting phases.
A methodically general approach to the formulation of problems arising in the
modeling of destructive and non-destructive surface treatments by powerful energy
flows has been developed. Application of this approach allows us to separate the
system of equations and boundary conditions so that each of the parts of the system
can be considered independently of the other.
References
1. Anisimov SI, Luk’yanchuk BS (2002) Selected problems of laser ablation theory. Phys Uspekhi
45(3):293. https://doi.org/10.1070/pu2002v045n03abeh000966
2. Ionin AA, Kudryashov SI, Seleznev LV, Sinitsyn DV (2009) Tunneling ionization of air in the
strong field of femtosecond laser pulses. JETP Lett 90:181. https://link.springer.com/article/
10.1134%2FS0021364009150053
3. Abramov DV, Arakelyan SM, Makov SA, Prokoshev VG, Khor’kov KS (2013) Formirovaniye
sistemy mikrokraterov na poverkhnosti titana pri vozdeystvii femtosekundnym lazernym
izlucheniyem v usloviyakh bystrogo okhlazhdeniya. Pis’ma v ZHTF 39(16):14–22 (in Russian)