Calculation of the temperature field of a plate when electron-beam welding
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 23-34 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Numerical methods for solving of temperature field dynamics problem for electronic-beam welding are proposed. Stationary and non-stationary formulations of the problem are considered. In a FEM approximation, composite mesh with a local refinement around the weld seam is used. Numerical efficiency of constructed methods is analysed as well as the comparison of these methods with MSC.Marc solver is executed.
@article{UZKU_2006_148_4_a2,
     author = {M. A. Ignat'eva and R. F. Kadyrov and A. B. Mazo},
     title = {Calculation of the temperature field of a~plate when electron-beam welding},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {23--34},
     year = {2006},
     volume = {148},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a2/}
}
TY  - JOUR
AU  - M. A. Ignat'eva
AU  - R. F. Kadyrov
AU  - A. B. Mazo
TI  - Calculation of the temperature field of a plate when electron-beam welding
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2006
SP  - 23
EP  - 34
VL  - 148
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a2/
LA  - ru
ID  - UZKU_2006_148_4_a2
ER  - 
%0 Journal Article
%A M. A. Ignat'eva
%A R. F. Kadyrov
%A A. B. Mazo
%T Calculation of the temperature field of a plate when electron-beam welding
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2006
%P 23-34
%V 148
%N 4
%U http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a2/
%G ru
%F UZKU_2006_148_4_a2
M. A. Ignat'eva; R. F. Kadyrov; A. B. Mazo. Calculation of the temperature field of a plate when electron-beam welding. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 23-34. http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a2/

[1] Bangerth W., Rannacher R., Adaptive finite element methods for differential equations, Birkhäuser Verlag, Basel, 2003, 207 pp. | MR | Zbl

[2] Gilmanov A. N., Metody adaptivnykh setok v zadachakh gazovoi dinamiki, Fizmatlit, M., 2000, 248 pp. | MR

[3] Quarteroni A., Periaux J., Kuznetsov Yu. A., Widlund O. B.(eds.), Domain decomposition methods in science and engineering, The Sixth Int. Conf. on Domain Decomposition, Contemporary Mathematics, 157, AMS, Providence, RI, 1994, 485 pp. | DOI | MR | Zbl

[4] Agoshkov V. I., “Metody razdeleniya oblasti v zadachakh matematicheskoi fiziki”, Vychislitelnye protsessy i sistemy, vyp. 8, Nauka, M., 1991, 4–51

[5] Baranov P. A., Isaev S. A., Kudryavtsev N. A., Kharchenko V. B., “Raschet kolebanii tsilindricheskogo mayatnika v napolnennoi vyazkoi zhidkostyu polosti s ispolzovaniem skolzyaschikh mnogoblochnykh setok”, IFZh, 76:5 (2003), 61–70

[6] MSC. Software Corp. MSC. Marc: Theory and User Information, Ver. 2005, MSC. Software Corp., printed in USA

[7] Sudnik V. A., Karpukhin E. V., Radai D., Khekeler G., “Metod ekvivalentnogo istochnika teploty: poverkhnost solidusa dvizhuscheisya svarochnoi vanny dlya MKE-rascheta trekhmernogo temperaturnogo polya”, Kompyut. tekhn. v soed. materialov, Tr. 2-i Vseros. nauch.-tekhn. konf., TulGU, Tula, 1999, 49–63

[8] Shanghvi J. Y., Michaleris P., “Thermo-elasto-plastic finite element analysis of quasi-state processes in Eulerian reference frames”, Int. J. Numer. Meth. Eng., 53 (2002), 1533–1566 | DOI

[9] Zhang Lu, Michaleris P., “Investigation of Lagrangian and Eulerian finite element methods for modelling the laser forming process”, Finite elements in analysis and design, 40 (2004), 383–405 | DOI

[10] Ewing R. E., Lazarov R. D., “Local refinement techniques in the finite element and finite difference methods”, Proc. Int. Conf. of Numerical Methods and Applications, Publishing House of the Bulgarian Academy of Sciences, Sofia, 1989, 148–159

[11] Kadyrov R. F., Mazo A. B., “Raschet teplovykh polei pri svarke plastin dvizhuschimsya istochnikom”, Tr. XI Vseross. shk.-seminara “Sovremennye problemy mat. modelirovaniya”, Izd-vo Rostovsk. un-ta, Rostov n/D., 2005, 161-170