Abstract:
The paper presents a finite element analysis of the localization of plastic deformations in the region of fracture of the model disk during rotation. At a certain angular velocity of rotation of the disk, an "ejection" is observed experimentally. This effect occurs when the material stability is lost, is analogous to the known "necking" in the specimen tension. In view of the finiteness of the observed experimental displacements and for the detection of the "tightening" effect in a numerical experiment, the equilibrium equations are integrated taking into account the finite deformations. The model calculation was carried out in a quasi-static setting with a step-by-step increase in the rotational speed. The plastic behavior of the metal alloy of the disk material is described according to the Huber-Mises limit surface. The material parameters used in the calculation are determined from the experimental tension curve of the sample. Elasto-plastic governing relations are used in finite deformations with a multiplicative decomposition of the deformation gradient into the elastic and plastic components. In fully plastic deformation of metals, due to the constancy of the first invariant of plastic deformations, the process of deformation is close to isochoric. In such cases, linear isoparametric finite elements show the effect of “volumetric locking”, which distorts the numerical result. Therefore, in calculations we use twenty-node volume finite elements of the second order, which have no specific feature. The calculations were carried out on the IMERS-Fidesis hardware-software complex. The energy and noise efficiency of a cluster in distributed computations is studied. The article concludes by comparing the numerical results with the experimental data and the energy efficiency level of the cluster.
Citation:
S. M. Abramov, S. A. Amel'kin, L. V. Kljuev, K. Ju. Krapivin, Yu. A. Nozhnickij, A. N. Servetnik, A. A. Chichkovskij, “Modeling the development of large plastic deformations in a rotating disk in the Fidesys program”, Chebyshevskii Sb., 18:3 (2017), 15–27
\Bibitem{AbrAmeKly17}
\by S.~M.~Abramov, S.~A.~Amel'kin, L.~V.~Kljuev, K.~Ju.~Krapivin, Yu.~A.~Nozhnickij, A.~N.~Servetnik, A.~A.~Chichkovskij
\paper Modeling the development of large plastic deformations in a rotating disk in the Fidesys program
\jour Chebyshevskii Sb.
\yr 2017
\vol 18
\issue 3
\pages 15--27
\mathnet{http://mi.mathnet.ru/cheb565}
\crossref{https://doi.org/10.22405/2226-8383-2017-18-3-15-27}
Linking options:
https://www.mathnet.ru/eng/cheb565
https://www.mathnet.ru/eng/cheb/v18/i3/p15
This publication is cited in the following 5 articles:
V. A. Levin, “Digital Production Tool—a Package for Robust Engineering Analysis as a Tool for Transferring Fundamental Scientific Results to Industry on the Example of the Fidesys Package and the Theory of Multiple Superimposition of Large Deformations”, Mech. Solids, 58:2 (2023), 455
V. A. Levin, “On a Class of Semi-Regular Gyrostat Precessions with Variable Gyrostatic Moment”, Izvestiya Rossiiskoi akademii nauk. Mekhanika tverdogo tela, 2023, no. 2, 90
V. A. Levin, K. M. Zingerman, A. E. Belkin, “Tochnoe reshenie odnoi zadachi o ravnovesii sostavnoi plity s predvaritelno nagruzhennymi chastyami iz neszhimaemykh uprugikh materialov pri nalozhenii bolshikh deformatsii”, Chebyshevskii sb., 23:4 (2022), 251–261
Konstantin M. Zingerman, Vladimir A. Levin, Leonid M. Zubov, Anton E. Belkin, Danila R. Biryukov, Lecture Notes in Computational Science and Engineering, 141, Mesh Methods for Boundary-Value Problems and Applications, 2022, 609
V. A. Levin, K. M. Zingerman, K. Yu. Krapivin, M. Ya. Yakovlev, “Spektralnyi element Lezhandra v zadachakh lokalizatsii plasticheskikh deformatsii”, Chebyshevskii sb., 21:3 (2020), 306–316
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