Abstract:
The one-dimensional deformation of a material and subsequent unloading in the vicinity of a single cylindrical discontinuity is calculated using the theory of large viscoelastoplastic strains. Emphasis is on the formation of a residual stress field during the loading-unloading process and the effect of the viscous properties of the material on the level and distribution of these stresses. A comparison is performed with results of solution of the corresponding problem using the theory of large elastoplastic strains.
Citation:
A. A. Burenin, L. V. Kovtanyuk, E. V. Murashkin, “On the residual stresses in the vicinity of a cylindrical discontinuity in a viscoelastoplastic material”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 110–119; J. Appl. Mech. Tech. Phys., 47:2 (2006), 241–248
\Bibitem{BurKovMur06}
\by A.~A.~Burenin, L.~V.~Kovtanyuk, E.~V.~Murashkin
\paper On the residual stresses in the vicinity of a cylindrical discontinuity in a viscoelastoplastic material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 2
\pages 110--119
\mathnet{http://mi.mathnet.ru/pmtf2136}
\elib{https://elibrary.ru/item.asp?id=16515868}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 2
\pages 241--248
\crossref{https://doi.org/10.1007/s10808-006-0049-5}
Linking options:
https://www.mathnet.ru/eng/pmtf2136
https://www.mathnet.ru/eng/pmtf/v47/i2/p110
This publication is cited in the following 7 articles:
A. D. Chernyshov, V. V. Goryainov, M. I. Popov, “Investigation of the Errors of Fast Trigonometric Interpolation in Solving the Problem of Stresses in a Bar”, Mech. Solids, 58:1 (2023), 95
Evgenii Murashkin, Evgeniy Dats, 2017 Fourth International Conference on Mathematics and Computers in Sciences and in Industry (MCSI), 2017, 76
E Murashkin, V Klindukhov, “On Finite Strains in Continua with Complex Rheology”, J. Phys.: Conf. Ser., 788 (2017), 012054
A.A. Bazhin, A.A. Burenin, E.V. Murashkin, “Simulation of the process of the accumulation of large irreversible deformations under plastic flow and creep conditions”, Journal of Applied Mathematics and Mechanics, 80:2 (2016), 182
Citation in format AMSBIB
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