Numerical investigation of large elastic-plastic deformations by finite element method
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 17-25

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The present paper deals with the development and implementation of numerical methods for investigating the stress-strain state of elastic-plastic solids with large deformations. An incremental loading technique is used. Spatial discretization is based on the finite element method. Using the proposed procedure, the problem of elastic-plastic deformations of a pipe and the problem of tension of a round bar are solved.
Keywords: finite elastic-plastic deformations, additive decomposition of total strains, linearized physical relations.
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     author = {R. L. Davydov and L. U. Sultanov},
     title = {Numerical investigation of large elastic-plastic deformations by finite element method},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {154},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a1/}
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R. L. Davydov; L. U. Sultanov. Numerical investigation of large elastic-plastic deformations by finite element method. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 17-25. http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a1/