Abstract:
Deforming of hardening elastoviscoplastic medium under the action of variable pressure gradient is considered in this paper. The displacement vector of material points has only vertical component. Mathematical model is based on the theory of large elastoplastic deformations. Differential transport equations of tensors of reversible and irreversible deformations are formulated. Irreversible deformations are split up into plastic and creep deformations. The solution is obtained with the use of analytical and numerical methods. The influence of hardening and viscosity parameters on medium deformation is analyzed.
Keywords:
large strains, plasticity, creep, hardening.
Received: 08.08.2017 Received in revised form: 20.09.2017 Accepted: 20.03.2018
Bibliographic databases:
Document Type:
Article
Language: English
Citation:
Aleksandr N. Prokudin, Sergey V. Firsov, “Antiplane strain of hardening elastoviscoplastic medium”, J. Sib. Fed. Univ. Math. Phys., 11:4 (2018), 399–410
\Bibitem{ProFir18}
\by Aleksandr~N.~Prokudin, Sergey~V.~Firsov
\paper Antiplane strain of hardening elastoviscoplastic medium
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 4
\pages 399--410
\mathnet{http://mi.mathnet.ru/jsfu689}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-4-399-410}
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Linking options:
https://www.mathnet.ru/eng/jsfu689
https://www.mathnet.ru/eng/jsfu/v11/i4/p399
This publication is cited in the following 6 articles:
S. V. Firsov, “O vliyanii deformatsii polzuchesti materiala vraschayuschegosya tsilindra na posleduyuschee plasticheskoe techenie”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 27:1 (2023), 102–118
A. A. Burenin, L. V. Kovtanyuk, G. L. Panchenko, “On the Calorific Value of a Rectilinear Elastoviscoplastic Flow, Taking into Account the Production of Heat Due to the Friction of a Material Against its Boundary Rough Surface”, Mech. Solids, 57:5 (2022), 984
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “Calculations of Large Nonisothermal Deformations of Elastoviscoplastic Materials”, Mech. Solids, 57:8 (2022), 2066
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, A. N. Prokudin, “On the sequential change in the mechanisms of production of large irreversible deformations”, Mech. Sol., 56:7 (2021), 1352–1362
K. N. Galimzyanova, L. V. Kovtanyuk, G. L. Panchenko, “Polzuchest i plasticheskoe techenie materiala sfericheskogo vyazkouprugoplasticheskogo sloya pri ego nagruzke i razgruzke”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 23:2 (2019), 270–283
G. M. Sevast'yanov, A. A. Burenin, “Local adiabatic heating effect in finite-strain elastic-plastic torsion”, J. Appl. Mech. Tech. Phys., 60:6 (2019), 1104–1114
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