@article{VMUMM_2013_6_a13,
author = {D. V. Georgievskii},
title = {The angle between the stress deviator and the strain-rate deviator in a tensor nonlinear isotropic medium},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {63--66},
year = {2013},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a13/}
}
TY - JOUR AU - D. V. Georgievskii TI - The angle between the stress deviator and the strain-rate deviator in a tensor nonlinear isotropic medium JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2013 SP - 63 EP - 66 IS - 6 UR - http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a13/ LA - ru ID - VMUMM_2013_6_a13 ER -
%0 Journal Article %A D. V. Georgievskii %T The angle between the stress deviator and the strain-rate deviator in a tensor nonlinear isotropic medium %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2013 %P 63-66 %N 6 %U http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a13/ %G ru %F VMUMM_2013_6_a13
D. V. Georgievskii. The angle between the stress deviator and the strain-rate deviator in a tensor nonlinear isotropic medium. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2013), pp. 63-66. http://geodesic.mathdoc.fr/item/VMUMM_2013_6_a13/
[1] Spencer A.J.M., Continuum Physics, Part III, v. 1, Theory of invariants, N.Y.–L., 1971 ; Spenser E., Teoriya invariantov, Mir, M., 1974 | MR
[2] Rivlin R.S., Ericksen J.L., “Stress-deformation relations for isotropic materials”, J. Ration. Mech. Anal., 4:2 (1955), 323–425 | MR
[3] Lokhin V.V., Sedov L.I., “Nelineinye tenzornye funktsii ot neskolkikh tenzornykh argumentov”, Prikl. matem. i mekhan., 27:3 (1963), 393–417 | MR
[4] Pobedrya B.E., Lektsii po tenzornomu analizu, Izd-vo MGU, M., 1986
[5] Dimitrienko Yu.I., Mekhanika sploshnoi sredy, v. 1, Tenzornyi analiz, Izd-vo MGTU, M., 2011
[6] Georgievskii D.V., “Tenzorno-nelineinye effekty pri izotermicheskom deformirovanii sploshnykh sred”, Uspekhi mekhan., 1:2 (2002), 150–176
[7] Georgievskii D.V., “Tenzorno-nelineinye sdvigovye techeniya: materialnye funktsii i diffuzionno-vikhrevye resheniya”, Nelineinaya dinamika, 7:3 (2011), 451–463
[8] Ilyushin A.A., Plastichnost. Osnovy obschei matematicheskoi teorii, Izd-vo AN SSSR, M., 1963 | MR
[9] Georgievskii D.V., Myuller V.Kh., Abali B.E., “Ustanovochnye eksperimenty dlya nakhozhdeniya materialnykh funktsii tenzorno-nelineinykh opredelyayuschikh sootnoshenii”, Izv. RAN. Ser. fiz., 76:12 (2012), 1534–1537