Geodesic
The role of surface tension and wetting in the cultivation of metal products in direct laser 3D printing technologies
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 157-169.

Voir la notice de l'article provenant de la source Math-Net.Ru

The three-dimensional convective heat and mass transfer occurring in a metal melt bath during layer build-up in 3D laser printing technologies (L-DED technology) is considered. The mathematical model of the considered non-isothermal hydrodynamic process with a phase transition is based on the Navier – Stokes, continuity and energy equations, taking into account diffusion, convective and radiative heat losses. The dynamic model of the free surface of the metal melt includes a Laplace pressure jump, Marangoni forces and wetting conditions. The numerical solution of the problem is performed by the method of mixed finite elements with a divergently stable approximation of the main variables. The influence of surface tension and wetting dynamics on the evolution of geometric parameters of a melt bath during thin wall growth is shown. 
@article{DVMG_2024_24_2_a0,
     author = {N. I. Belozerov and K. A. Chekhonin},
     title = {The role of surface tension and wetting in the cultivation of metal products in direct laser {3D} printing technologies},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {157--169},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a0/}
}
TY  - JOUR
AU  - N. I. Belozerov
AU  - K. A. Chekhonin
TI  - The role of surface tension and wetting in the cultivation of metal products in direct laser 3D printing technologies
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2024
SP  - 157
EP  - 169
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a0/
LA  - ru
ID  - DVMG_2024_24_2_a0
ER  - 
%0 Journal Article
%A N. I. Belozerov
%A K. A. Chekhonin
%T The role of surface tension and wetting in the cultivation of metal products in direct laser 3D printing technologies
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2024
%P 157-169
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a0/
%G ru
%F DVMG_2024_24_2_a0
N. I. Belozerov; K. A. Chekhonin. The role of surface tension and wetting in the cultivation of metal products in direct laser 3D printing technologies. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 157-169. http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a0/

[1] Mukherjee T., DebRoy T., Theory and Practice of Additive Manufacturing, 1st Edition, Wiley, 2023

[2] Rudskoi V. K. [i dr.], Additivnye tekhnologii. Materialy i tekhnologicheskie protsessy, Politekh – Press, SPb, 2021, 515 pp.

[3] Liu T. S., Chen P., et al., “Review on laser directed energy deposited aluminum alloys”, Int. J. Extrem. Manuf., 6:2 (2024), 022004 | DOI

[4] Kovalev O., Bedenko D., Zaitsev A., “Development and application of laser cladding modelling technique: From coaxial powder feeding to surface deposition and bead formation”, Appl. Math., 57 (2018), 339–359 | MR | Zbl

[5] Ye W.-S., Sun A.-D., Zhai W.-Z., Wang G.-L., “Finite element simulation analysis of flow heat transfer behavior and molten pool characteristics during 0Cr16Ni5Mo1 laser cladding”, J. of Materials Research and Technology, 30 (2024), 2186–2199 | DOI

[6] Udin I., Valdaytseva E., Hislov N., “Numerical Estimation of the Geometry of the Deposited Layers during Direct Laser Deposition of Multi-Pass Walls”, Metals, 11:12 (2021), 1972 | DOI

[7] Chekhonin K. A., Vlasenko V. D., “Modelling of capillary coaxial gap filling with viscous liquid”, Computational Continuum Mechanics, 12 (2019), 313–324 | DOI

[8] Chekhonin K. A., Vlasenko V. D., “Three–dimensional Finite Element Model of Three–phase Contact Line Dynamics and Dynamic Contact Angle”, WSEAS transactions on fluid mechanics, 19 (2024), 577–582 | DOI

[9] Shikhmurzaev Y. D., “Solidification and dynamic wetting: a unified modeling framework”, Physics of Fluids, 33 (2021), 072101 | DOI

[10] Herbaut et al R., “A criterion for the pinning and depinning of an advancing contact line on a cold substrate”, Euro. Phys. J. Spec. Top., 229 (2020), 043602 | DOI

[11] Gielen et al M. V., “Solidification of liquid metal drops during impact”, J. Fluid Mech., 883:A32 (2020), 20

[12] Chekhonin K. A., Vlasenko V. D., “Three-dimensional finite element model of the motion of a viscous incompressible fluid with a free surface, taking into account the surface tension”, AIP conference proceedings. Actual problems of continuum mechanics: experiment, theory, and applications, 207 (2023), 030007 | DOI

[13] Bulgakov V. K., Chekhonin K. A., Osnovy teorii metoda smeshannykh konechnykh elementov, Izd-vo Khabar. politekh. instituta, Khabarovsk, 1999 | MR

[14] Belozerov N. I., Chekhonin K. A., “Trekhmernoe konechno-elementnoe modelirovanie techeniya rasplava metalla so svobodnoi poverkhnostyu v usloviyakh dvizhuschegosya lazernogo istochnika”, Dalnevostochnyi matematicheskii zhurnal, 24:1 (2024), 9–21 | MR | Zbl

[15] Belozerov N. I., Chekhonin K. A., “Samosoglasovannaya chislennaya model gidrodinamicheskikh protsessov v tekhnologii pryamogo lazernogo naraschivaniya sloya”, Sbornik tezisov XXVIII Vserossiiskoi konferentsii po chislennym metodam resheniya zadach teorii uprugosti i plastichnosti, 2023, 16–18

[16] Belozerov N. I., Chekhonin K. A., “Modelirovanie gidrodinamicheskikh protsessov v tekhnologii pryamogo lazernogo additivnogo protsessa”, Sovremennye problemy mekhaniki sploshnoi sredy, Tezisy dokladov XXI Mezhdunarodnoi konferentsii, 2023, 12 | Zbl

[17] Yua J., Lin X., Wang J., “Mechanics and energy analysis on molten pool spreading during laser solid forming”, Applied Surface Science, 256 (2010), 4612–4620 | DOI

[18] Rappaz M., Bullet M., Deville M., Modeling in Materials Science and Engineering, Springer Verlag, Berlin, 2003 | MR | Zbl

[19] Voinov O. V., “Gidrodinamika smachivaniya”, Mekhanika zhidkosti i gaza, 5 (1976), 76–84