Geodesic
Uniform Representation of the Basic Constraints of Plasticity Theory
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 286-289.

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Matrix presentation of the basic constraints for the problems of plastic deformation numerical analysis in various plasticity theories at simple and complex loading is given. Matrix parameters are obtained for the strain rate hardening and Ilyushin's theories.
Keywords: stress, strain, elastic, plastic, deformation, plastic flow, numerical analysis.
Mots-clés : matrix 
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N. N. Stolyarov; N. I. Dedov. Uniform Representation of the Basic Constraints of Plasticity Theory. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 286-289. http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a34/

[1] Ilyushin A. A., Plastichnost. Osnovy obschei matematicheskoi teorii, AN SSSR, M., 1963, 272 pp.

[2] Korotkikh Yu. G., “Matematicheskaya model uprugo-plasticheskoi sredy, osnovannaya na kontseptsii kinematicheskogo i izotropnogo uprochneniya i ee realizatsiya v staticheskikh i dinamicheskikh zadachakh”, Tr. Vtoroi Vsesoyuzn. konf. po chislennym metodam resheniya zadach teorii uprugosti i plastichnosti, SO AN SSSR, Novosibirsk, 1971, 156–169

[3] Vasin R. A., “Nekotorye voprosy svyazi napryazhenii i deformatsii pri slozhnom nagruzhenii”, Uprugost i neuprugost. Vyp. 1, MGU, M., 1971, 69–126