Geodesic
Irreversible deformation of a rotating disc under plasticity and creep
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 163 (2021) no. 2, pp. 167-180

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This paper is devoted to the study of deformation of a disk rotating with variable velocity (acceleration, deceleration, rotation at a constant rate) under consecutive accumulation of irreversible creep and plastic flow strains. The deformation processes of a hollow disk and a disk with an inclusion are studied. Under the assumption of a plane stress state within the framework of the flow theory, solutions of differential equations are obtained for calculating the fields of stresses, deformations, displacements, and velocities using finite difference schemes. In the case of an axisymmetric problem, the solution is obtained using the finite element method. The laws of viscoplastic flow area development are investigated. In a sufficiently thick disk, the radius of the elastoplastic boundary changes significantly along the thickness of the disk. The obtained solution is compared with the case of ideal elastoplasticity. Taking into account the viscosity leads to a deceleration of the flow. It is shown that the presence of angular acceleration during fast overclocking significantly affects the distribution of stress intensities.
Keywords: elasticity, creep, rotating disk, viscoplastic flow. 
@article{UZKU_2021_163_2_a4,
     author = {A. S. Begun and L. V. Kovtanyuk},
     title = {Irreversible deformation of a rotating disc under plasticity and creep},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {167--180},
     publisher = {mathdoc},
     volume = {163},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2021_163_2_a4/}
}
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A. S. Begun; L. V. Kovtanyuk. Irreversible deformation of a rotating disc under plasticity and creep. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 163 (2021) no. 2, pp. 167-180. http://geodesic.mathdoc.fr/item/UZKU_2021_163_2_a4/