MODELING THE DEVELOPMENT OF LARGE PLASTIC DEFORMATIONS IN A ROTATING DISK IN THE FIDESYS PROGRAM

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.

1. (2012), "Normy letnoi godnosti dvigateley vozdushnih sudov. AP-33"[Airworthiness of aircraft engines. AR-33].

2. Nozhnitsky, Y.A., Fedina, Y.A., Shadrin, D.V., Servetnik A.N. (eds) (2015), "New possibilities of using spin rigs to provide gas turbine engine strength reliability Vestnik of the Samara State Aerospace University, Vol.14, no.3, part 1, pp. 71-87.

3. Servetnik, A.N. (2012), "Energy-based method for gas turbine engine disk burst speed calculation 28th Congress of the International Council of the Aeronautical Sciences 2012, ICAS 2012, Brisbane, Australia, 23-28 September 2012, pp. 2443-2448.

4. Nozhnitsky, Yu.A., Karimbaev, K.D. and Servetnik, A.N. (2012), "Numerical Simulation of Spin Testing for Turbo Machine Disks Using Energy-based Fracture Criteria Proceedings of the ASME Turbo Expo. 2012, Copenhagen, Denmark, 11-15 June 2012, Vol.7, pp. 35-40.

5. Kuzmin, E.P. and Servetnik, A.N. (2014), "Yield surface investigation of alloys during model disk spin tests Science and Education: Scientific Publication, no.5, pp. 330-339.

6. Birger, I.A., Shorr, B.F. (eds) (1975), Termoprochnost detaley mashin [Thermal strength of machine parts], Mashinostroenie, Moscow, Russia.

7. Nadai, A. (1963), Theory of Flow and Fracture of Solids, Vol. 2, McGraw-Hill, New York, P. 705.

8. Simo, J. C. and Hughes, T. J. R. (1998), Computational Inelasticity, Vol. 7, Springer Verlag, New York, P. 392.

9. The Fidesys system for strength analysis. Available at: http://www.caefidesys.com.

10. High-performance computing system IMMERS 6R6. Available at: http://www.immers.ru/sys/immers6r6

11. Levin, V.A., Kalinin, V.V., Zingerman, K.M. and Vershinin, A.V. (2007), Growth of defects under finite strains.Computer simulation and physical modelling. Ed. by V.A. Levin. Fizmatlit, Moscow.

12. Levin, V.A. and Vershinin, A.V. (2015), Numerical methods. Parallel computing. Vol.2 (Nonlinear computational strength mechanics. Series of monographs. Ed. by V.A. Levin). Fizmatlit, Moscow.

13. Morozov, E.M., Levin, V.A. and Vershinin, A.V. (2015), Strength analysis. Fidesys in the hands of an engineer. URSS, Moscow.

14. Zingerman, K.M., Vershinin, A.V. & Levin V.A. (2016), “An approach for verification of finite-element analysis in nonlinear elasticity under large strains”, IOP Conf. Series: Materials Science and Engineering, Vol. 158, no. 012104

15. Levin, V.A., Zingerman, K.M., Vershinin, A.V., Freiman, E.I. & Yangirova A.V. (2013), “Numerical analysis of the stress concentration near holes originating in previously loaded viscoelastic bodies at finite strains”, International Journal of Solids and Structures, Vol. 10, no. 50(20-21), pp. 3119-3135, doi: 10.1016/j.ijsolstr.2013.05.019

16. Vershinin, A.V., Levin, V.A., Komolova, E.V. (eds) (2013), "Use of fully functional CAE Fidesys for the development of innovative parts for defence industry Mezhotraslevaya informacionnaya sluzhba. No. 4. pp. 38-40.

17. Levin, V.A. and Vershinin, A.V. (2015), "Industrial package for engineering strength analysis Trudy XI Vserossiyskogo s’yezda po fundamental’nym problemam teoreticheskoy i prikladnoy mechaniki (Proc. XI All-Russian Congress on theoretical and applied mechanics), Kazan, 2015. P. 2281–2283.

18. Sparsh, M. and Jeffrey, S. V. 2015 “A Survey of CPU-GPU Heterogeneous Computing Techniques ACM Comput. Surv. Vol. 47, no. 4, Article No. 69, doi: 10.1145/2788396.