Geodesic
Modeling the development of large plastic deformations in a rotating disk in the Fidesys program
Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 15-27

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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.
Keywords: finite-element analysis, multiplicative plasticity, finite strains, HPC cluster. 
@article{CHEB_2017_18_3_a1,
     author = {S. M. Abramov and S. A. Amel'kin and L. V. Kljuev and K. Ju. Krapivin and Yu. A. Nozhnickij and A. N. Servetnik and A. A. Chichkovskij},
     title = {Modeling the development of large plastic deformations in a rotating disk in the {Fidesys} program},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {15--27},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a1/}
}
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%A L. V. Kljuev
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%A Yu. A. Nozhnickij
%A A. N. Servetnik
%A A. A. Chichkovskij
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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. Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 15-27. http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a1/