Geodesic
A three-dimensional problem of compression forming system ``composite shell~-- low-compressible consolidating filler''
Matematičeskoe modelirovanie, Tome 14 (2002) no. 11, pp. 113-127.

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

The present paper is devoted to mathematical modeling of polymerization of near-incompressible highfilled composite material in an elastic casting form. A stable numerical algorithm for the problem's solution has been developed on the base of finite element method. Numerical investigation of the stress and deformation in system during the polymerization process has been carried out. The evolution of stresses in singular points of domain has been investigated. 
@article{MM_2002_14_11_a9,
     author = {V. K. Bulgakov and K. A. Chekhonin},
     title = {A three-dimensional problem of compression forming system ``composite shell~-- low-compressible consolidating filler''},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {113--127},
     publisher = {mathdoc},
     volume = {14},
     number = {11},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_11_a9/}
}
TY  - JOUR
AU  - V. K. Bulgakov
AU  - K. A. Chekhonin
TI  - A three-dimensional problem of compression forming system ``composite shell~-- low-compressible consolidating filler''
JO  - Matematičeskoe modelirovanie
PY  - 2002
SP  - 113
EP  - 127
VL  - 14
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2002_14_11_a9/
LA  - ru
ID  - MM_2002_14_11_a9
ER  - 
%0 Journal Article
%A V. K. Bulgakov
%A K. A. Chekhonin
%T A three-dimensional problem of compression forming system ``composite shell~-- low-compressible consolidating filler''
%J Matematičeskoe modelirovanie
%D 2002
%P 113-127
%V 14
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2002_14_11_a9/
%G ru
%F MM_2002_14_11_a9
V. K. Bulgakov; K. A. Chekhonin. A three-dimensional problem of compression forming system ``composite shell~-- low-compressible consolidating filler''. Matematičeskoe modelirovanie, Tome 14 (2002) no. 11, pp. 113-127. http://geodesic.mathdoc.fr/item/MM_2002_14_11_a9/

[1] Malkin A. Ya., Begishev V. P., Khimicheskoe formovanie polimerov, Khimiya, M., 1991

[2] Bolotin V. V., Vorontsov A. N., Antokhonov V. B., “Teoriya kompressionnogo formovaniya izdelii iz kompozitnykh materialov”, Mekhanika kompozitnykh materialov, 1982, no. 6, 1034–1042

[3] Obraztsov I. F., Tomashevskii V. T., “Nauchnye osnovy i problemy tekhnologicheskoi mekhaniki konstruktsii iz kompozitnykh materialov”, Mekhanika kompozitnykh materialov, 1987, no. 4, 671–699

[4] Frank-Kamenetskii D. A., Diffuziya i teploperedacha v khimicheskoi kinetike, Nauka, M., 1967

[5] Chechilo N. M., Enikopopyan N. S., “O strukture fronta polimerizatsionnoi volny i mekhanizme rasprostraneniya reaktsii polimerizatsii”, DAN SSSR, 214:5 (1974), 1131–1133

[6] Arutyunyan N. Kh., Drozdov A. D., “Fazovye perekhody v uprugikh i vyazkouprugikh telakh”, Mekhanika kompozitnykh materialov, 1986, no. 1, 94–102

[7] Klynnikov L. V., Alyanova E. E., Rozenberg B. A., “Metod ekvivalentnogo opredeleniya vnutrennikh napryazhenii v uprugikh modelyakh frontalnogo otverzhdeniya”, Mekhanika kompozitnykh materialov, 31:1 (1995), 3–9

[8] Moskvitin V. V., Soprotivlenie vyazkouprugikh materialov, Nauka, M., 1972

[9] Chekhonin K. A., Baklanov A. N., Reshenie osnovnykh zadach teorii uprugosti pri otverzhdenii neszhimaemykh sred, prepr. No 23, Dalnauka, Vladivostok, 1998

[10] Lipanov A. M., Ales M. Yu., Evstafev O. I., “Chislennoe modelirovanie napryazhenno-deformirovannogo sostoyaniya otvergayuschikhsya polimernykh sistem”, Vysokomolekulyarnye soedineniya, 33:1 (1991), 52–59

[11] Ales M. Yu., Bulgakov V. K., Lipanov A. M., “Ob odnom algoritme resheniya geometricheski nelineinoi zadachi o napryazhenno-deformirovannom sostoyanii polykh tsilindrov slozhnoi formy na osnove MKE”, Mekhanika tverdogo tela, 1985, no. 2, 106–112

[12] Chekhonin K. A., Pilipchuk R. N., Modelirovanie otverzhdeniya RDTT s uchetom neszhimaemosti ili pochti neszhimaemosti topliva, Dalnauka, Vladivostok, 1998

[13] Baklanov A. N., Matematicheskoe modelirovanie ob'emnogo otverzhdeniya vysokonapolnennogo kompozita v press-formakh, avtoreferat dissertatsii kand. fiz.-mat. nauk., Izd-vo KhGTU, Khabarovsk, 2000

[14] Pilipchuk R. N., Matematicheskoe modelirovanie kompressionnogo otverzhdeniya neszhimaemykh ili pochti neszhimaemykh kompozitnykh materialov, avtoreferat dissertatsii kand. fiz.-mat. nauk, Izd-vo KhGTU, Khabarovsk, 2000

[15] Bulgakov V. K., Chekhonin K. A., Potapov I. I., Baklanov A. N., “Analiz trekhmernogo NDS RDTT na stadii otverzhdeniya”, Matematicheskoe modelirovanie, vyp. 3, Izd-vo KhGTU, Khabarovsk, 1997, 181–192

[16] Chekhonin K. A., Baklanov A. N., “Modelirovanie NDS neszhimaemogo otverzhdayuschegosya polimernogo materiala v usloviyakh kontakta s momentnoi tonkostennoi obolochkoi vrascheniya”, Matematicheskoe modelirovanie, vyp. 4, Izd-vo KhGTU, Khabarovsk, 1998, 40–66

[17] Kikuchi N., Oden J. T., Contact Problem in Elasticity Study of Variational Inequalities and Finite Element Methods, SIAM, Philadelphia, 1988 | MR | Zbl

[18] Novozhilov V. V., Teoriya tonkikh obolochek, Sudpromgiz, M., 1951

[19] Girault V., Raviart P-A., Finite Element Methods for Navier–Stokes Equations, Springer-Verlag, Berlin, 1986 | MR | Zbl

[20] Dyakonov E. G., Minimizatsiya vychislitelnoi raboty. Asimptoticheski optimalnye algoritmy dlya ellipticheskikh zadach, Nauka. Gl. red. fiz.-mat. lit., M., 1989 | MR

[21] Brezzi F., Fortin M., Mixed and Hybrid Finite Element Method, Springer, New York, 1991 | MR | Zbl

[22] Chekhonin K. A., Baklanov A. N., O nekotorykh konechno-elementnykh approksimatsiyakh smeshannogo tipa dlya neszhimaemykh ili pochti neszhimaemykh sred v $R^3$, Dalnauka, Vladivostok, 1998

[23] Glowinski R., Pironneau O., “Finite Element Method for Navier–Stokes Equations”, Annu. Rev. Fluid Mech., 24 (1992), 167–204 | DOI | MR | Zbl

[24] Ilin V. P., Metody nepolnoi faktorizatsii dlya resheniya algebraicheskikh sistem, Fizmatlit, M., 1995 | MR

[25] Saad Y., Iterative Methods for Sparse Linear Systems, PWS Publishing Company, 1996 | MR | Zbl

[26] Chekhonin K. A., Sukhinin P. A., “Chislennoe modelirovanie zapolneniya osesimmetrichnogo kanala nelineino-vyazkoplastichnoi zhidkostyu s uchetom $\Pi$-effekta”, Inzhenerno-fizicheskii zhurnal, 72:5 (1999), 881–885