Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading

The purpose of the research is to investigate the processes of accumulation of irreversible deformations through different mechanisms: creep and plastic flow. Initially irreversible deformations are produced due to the viscous properties of solid material as creep deformations. The mechanism of the...

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Main Authors: Kseniya Nailevna Galimzyanova, Larisa Valentinovna Kovtanyuk, Galina Leonidovna Panchenko
Format: Article
Language:English
Published: Samara State Technical University 2019-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/20624/16871
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author Kseniya Nailevna Galimzyanova
Larisa Valentinovna Kovtanyuk
Galina Leonidovna Panchenko
author_facet Kseniya Nailevna Galimzyanova
Larisa Valentinovna Kovtanyuk
Galina Leonidovna Panchenko
author_sort Kseniya Nailevna Galimzyanova
collection DOAJ
description The purpose of the research is to investigate the processes of accumulation of irreversible deformations through different mechanisms: creep and plastic flow. Initially irreversible deformations are produced due to the viscous properties of solid material as creep deformations. The mechanism of the production of irreversible deformations changes to plastic when stress state reach the yield surface. On the contrary, this mechanism changes from fast plastic to slow viscous during unloading. The continuity in such increase in irreversible deformations is provided by the corresponding set of creep and plasticity potentials. These processes are considered in the framework of the mathematical theory of small deformations on the example of a one-dimensional problem of the deforming of a viscoelastoplastic hollow sphere under the influence of volumetric pressure changing with time. The processes of creep and plastic flow under increasing pressure, plastic flow at constant pressure, the medium unloading at decreasing pressure and the repeated plastic flow at the unloading were considered. The regularities of the motion of elastic-plastic boundaries in the material of the hollow sphere were established. The parameters of the stress-strain state of the medium were calculated, stress relaxation after the unloading was investigated.
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spelling doaj.art-8c88987bd5214ed1863f9d01e89ac3262022-12-22T02:40:40ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812019-06-0123227028310.14498/vsgtu168718044Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloadingKseniya Nailevna Galimzyanova0Larisa Valentinovna Kovtanyuk1Galina Leonidovna Panchenko2Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of SciencesInstitute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of SciencesInstitute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of SciencesThe purpose of the research is to investigate the processes of accumulation of irreversible deformations through different mechanisms: creep and plastic flow. Initially irreversible deformations are produced due to the viscous properties of solid material as creep deformations. The mechanism of the production of irreversible deformations changes to plastic when stress state reach the yield surface. On the contrary, this mechanism changes from fast plastic to slow viscous during unloading. The continuity in such increase in irreversible deformations is provided by the corresponding set of creep and plasticity potentials. These processes are considered in the framework of the mathematical theory of small deformations on the example of a one-dimensional problem of the deforming of a viscoelastoplastic hollow sphere under the influence of volumetric pressure changing with time. The processes of creep and plastic flow under increasing pressure, plastic flow at constant pressure, the medium unloading at decreasing pressure and the repeated plastic flow at the unloading were considered. The regularities of the motion of elastic-plastic boundaries in the material of the hollow sphere were established. The parameters of the stress-strain state of the medium were calculated, stress relaxation after the unloading was investigated.https://journals.eco-vector.com/1991-8615/article/viewFile/20624/16871elasticitycreepplasticityirreversible deformations
spellingShingle Kseniya Nailevna Galimzyanova
Larisa Valentinovna Kovtanyuk
Galina Leonidovna Panchenko
Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
elasticity
creep
plasticity
irreversible deformations
title Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
title_full Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
title_fullStr Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
title_full_unstemmed Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
title_short Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
title_sort creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
topic elasticity
creep
plasticity
irreversible deformations
url https://journals.eco-vector.com/1991-8615/article/viewFile/20624/16871
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AT larisavalentinovnakovtanyuk creepandplasticflowofasphericalviscoelasticlayermaterialatitsloadingandunloading
AT galinaleonidovnapanchenko creepandplasticflowofasphericalviscoelasticlayermaterialatitsloadingandunloading