About V. V. Novozilov’s works on the theory of elastocity

Yu. M. Dahl

Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2013), pp. 27-35

Résumé

The shot biography of well-known academic V. V. Novozilov is described. It is considered (in chronological order) his books “The basics nonlinear theory of elasticity”, “The theory of elasticity”, the articles about the problems stress-strain relationship in elastic isotropic materials, the works on plane problem theory of elasticity, the torsions theories of pipes and rods. The review included 27 references from 1940 to 2000 year. Bibliogr. 27.

Détail

Keywords: nonlinear and linear theory of elasticity, elastic law, anisotropy, polycrystals, stability.
Mots-clés : torsion

Bibliographie

[1] Novozhilov V. V., “Obschaya teoriya ustoichivosti tonkikh obolochek”, Dokl. AN SSSR, 32:5 (1941), 316–319

[2] Novozhilov V. V., Osnovy nelineinoi teorii uprugosti, Gostekhizdat, M.–L., 1948, 211 pp. | MR

[3] Novozhilov V. V., “O svyazi mezhdu napryazheniyami i deformatsiyami v nelineino-uprugoi srede”, Prikl. matematika i mekhanika, 15:2 (1951), 183–194 | Zbl

[4] Novozhilov V. V., “O printsipakh obrabotki rezultatov staticheskikh ispytanii izotropnykh materialov”, Prikl. matematika i mekhanika, 15:6 (1951), 709–722 | Zbl

[5] Novozhilov V. V., “O fizicheskom smysle invariantov napryazhenii, ispolzuemykh v teorii plastichnosti”, Prikl. matematika i mekhanika, 16:5 (1952), 617–619 | Zbl

[6] Novozhilov V. V., “O klasse slozhnykh nagruzhenii, kotoryi kharakterizuetsya sokhraneniem napravlenii glavnykh osei”, Prikl. matematika i mekhanika, 18:4 (1954), 415–420

[7] Novozhilov V. V., “Stesnennoe kruchenie trub”, Uchen. zap. Leningr. un-ta, 1957, no. 217, 254–271 (with I. A. Lashmanovoi) | Zbl

[8] Novozhilov V. V., “Priblizhennaya teoriya stesnennogo krucheniya tonkostennykh sterzhnei zamknutogo profilya, uchityvayuschaya iskrivleniya poperechnykh sechenii”, Izv. AN SSSR. OTN, 1956, no. 9, 72–83 (with M. K. Kozhevnikovoi)

[9] Novozhilov V. V., “O tsentre izgiba”, Prikl. matematika i mekhanika, 21:2 (1957), 281–284 | MR

[10] Novozhilov V. V., Teoriya uprugosti, Sudpromgiz, L., 1958, 370 pp.

[11] Novozhilov V. V., “O svyazi mezhdu napryazheniyami i uprugimi deformatsiyami v polikristallakh”, Problemy gidrodinamiki i mekhaniki sploshnoi sredy, sb. statei k 60-letiyu akad. L. I. Sedova, ed. M. A. Lavrentev, Nauka, M., 1969, 365–376

[12] Novozhilov V. V., “O svyazi mezhdu matematicheskimi ozhidaniyami tenzorov napryazhenii i deformatsii v statisticheski izotropnykh odnorodnykh uprugikh telakh”, Prikl. matematika i mekhanika, 34:1 (1970), 67–74 | Zbl

[13] Novozhilov V. V., Tolokonnikov L. A., Chernykh K. F., Mekhanika v SSSR za 50 let, sb. statei, v 4 t., v. 3, Mekhanika deformiruemogo tverdogo tela, ed. L. I. Sedov, Nauka, M., 1972, 71–78 | MR

[14] Novozhilov V. V., “Nelineinaya zadacha dlya ploskoi sploshnoi sredy v eilerovykh koordinatakh”, Vestn. Leningr. un-ta, 1972, no. 19, 103–105 (with N. F. Morozovym) | Zbl

[15] Novozhilov V. V., “Ploskaya zadacha teorii uprugosti izotropnykh tel v krivolineinykh koordinatakh, linii kotorykh sovpadayut s traektoriyami glavnykh napryazhenii”, Izv. AN SSSR. Mekhanika tv. tela, 1973, no. 4, 178–180 (with A. V. Volkovoi)

[16] Novozhilov V. V., “Nelineinaya ploskaya zadacha teorii uprugosti (ploskaya deformatsiya)”, Vestn. Leningr. un-ta. Ser. 1: Matematika, mekhanika, astronomiya, 1975, no. 1, 122–129 (with K. F. Chernykh) | MR | Zbl

[17] Novozhilov V. V., “O kinematicheskikh kraevykh usloviyakh v nelineinykh zadachakh teorii uprugosti”, Izv. AN SSSR. Mekhanika tv. tela, 1975, no. 5, 63–71 (with V. A. Shaminoi) | MR

[18] Novozhilov V. V., “Ploskaya nelineinaya zadacha o deformatsii pologo tsilindra”, Mekhanika deformiruemogo tverdogo tela, sb. nauch. trudov, Tulsk. politekh. in-t, Tula, 1983, 21–32 (with E. V. Mikhailovoi)

[19] Novozhilov V. V., “Ob «istinnykh» merakh napryazhenii i deformatsii v nelineinoi mekhanike deformiruemogo tela”, Izv. AN SSSR. Mekhanika tv. tela, 1987, no. 5, 73–79 (with K. F. Chernykh)

[20] Shamina V. A., “Ob opredelenii vektora peremescheniya po komponentam tenzora deformatsii v nelineinoi mekhanike sploshnoi sredy”, Izv. AN SSSR. Mekhanika tv. tela, 1974, no. 1, 14–22 | MR

[21] Shamina V. A., “Nekotorye analogii v zadache ob opredelenii vektora smescheniya po tenzoru deformatsii”, Izv. AN SSSR. Mekhanika tv. tela, 1974, no. 3, 76–83

[22] Bochkarev A. O., Dal Yu. M., “Lokalnaya ustoichivost plastin s vyrezami”, Dokl. AN SSSR, 308:2 (1989), 312–315 | MR | Zbl

[23] Grekov M. A., Singulyarnaya ploskaya zadacha teorii uprugosti, Izd-vo S.-Peterb. un-ta, SPb., 2001, 192 pp. | MR | Zbl

[24] Chernykh K. F., Nelineinaya teoriya uprugosti v mashinostroitelnykh raschetakh, Mashinostroenie, Leningr. otd., L., 1986, 336 pp.

[25] L. I. Sedov (otv. red.), Problemy mekhaniki tverdogo deformiruemogo tela, sbornik k 60-letiyu akad. V. V. Novozhilova, Sudostroenie, L., 1970, 512 pp. | MR

[26] K. F. Chernykha, N. F. Morozova, V. A. Shaminoi (red.), Valentin Valentinovich Novozhilov i ego nauchnaya shkola, Nauch. issled. in-t khimii S.-Peterb. un-ta, SPb., 1998, 159 pp.

[27] Chernykh K. F., Mikhailovskii E. I., Nikitenkov V. L., Ob odnoi vetvi nauchnoi shkoly Novozhilova, Izd-vo Syktyvkar. un-ta, Syktyvkar, 2002, 147 pp.