MODELLING OF THE PROCESS OF ELASTIC-PLASTIC DEFORMATION OF A LAYERED METAL COMPOSITION WELDED BY EXPLOSION

Authors

  • V. V. Dragobetskiy Kremenchuk Mykhailo Ostrohradskyi National University, Kremenchug, Ukraine
  • V. G. Zagoyanskiy Kremenchuk Mykhailo Ostrohradskyi National University, Kremenchug, Ukraine
  • I. I. Fedorac Kremenchuk Mykhailo Ostrohradskyi National University, Kremenchug, Ukraine

DOI:

https://doi.org/10.20535/2305-9001.2016.77.68158

Keywords:

layered metal composition, explosive welding, elastic-plastic deformation, two-layered shell, finite difference method

Abstract

Purpose – to adapt the parametric mathematical model of the process of forming of a layered metal shell under pulse deformation based on the finite difference method, as well as to establish and compile the data on the mechanical properties and regularities of their distribution over the thickness of the layered work-piece. Approach A bimetallic work-piece is covered with a spatial Lagrangian mesh X1X2 connected with the middle surface. We use a "nodal scheme." The nodal point of the computational grid of each physical element is the point of bringing the corresponding mass equal to the sum of the masses of the bimetal components and applied to the center of gravity of the element. In the nodal points accelerations are determined. All other values are determined in each component. Mass component points are connected by weightless extensible direct links. Findings А methodology for calculation of technological parameters at the pulse deformation of layered compositions providing the plastic deformation of the contact surface layers was developed. On the basis of the finite-difference approximation of the equations modeling the dynamic behavior of the mechanics of a layered work-piece, algorithms for calculation of its kinematics and stress-strained state are proposed. The results of numerical calculations of the distribution of the radial deformation of the bimetallic stamped work-piece obtained by the explosive welding, change of deformation through the thickness of the bimetallic work-piece and distribution of intensity of deformations are shown. Value Developed algorithms and programs for calculation of the dynamic behavior of a multi-layered shell, critical values of the intensities of strain and stresses at which an interlayer destruction takes place are determined.

Author Biographies

V. V. Dragobetskiy, Kremenchuk Mykhailo Ostrohradskyi National University, Kremenchug

Doctor of Science (Technology), prof. Kremenchuk Mykhailo Ostrohradskyi National University, Kremenchug, Ukraine

 

V. G. Zagoyanskiy, Kremenchuk Mykhailo Ostrohradskyi National University, Kremenchug

Ph.D Kremenchuk Mykhailo Ostrohradskyi National University, Kremenchug

References

Mayboroda, V.P., Kravchuk, A.S. and Homin N.N. (1986), Skorostnoe deformirovanie konstruksionyh materialov [High-speed deformation of structural materials], Engineering, Moscow, Russia.

Mikhailuta, I.O. (1979), Analiz izmeneniy tolshini otdelnix sloev zagotovki pri paketnoy besprigimnoy shtampovke [Analysis of changes in the thickness of the individual layers of a workpiece during a stack stamping without a blank holder], Mikhailuta I.O., Poltarushnikov S.A., Volovik A.A., et al. (ed.) V.K. Borisevich, Interuniversity thematic coll. of works scientific Pulse metal forming, N.Yr. Zhukovsky Kharkiv Aviation Institute named, KH. KCAI, no 8, pp. 43-46.

Borisevich, V.K. (ed.) (1977), Interuniversity thematic coll. of works scientific Pulse metal forming, Interuniversity thematic coll. of works scientific NN.Yr. Zhukovsky Kharkiv Aviation Institute named, KH. KCAI, no 6, 144 p.

Doroshko, V.I. and Dubasov, V.M. (2001), Vidavlivanie, imetallicheskix rabochih detalei shtampov I press-form [Extrusion of bimetallic working parts of dies and moulds], Publisher VNU, Lugansk, Ukraine.

Kuzmenko, V.I. and Balakin, V.F. (1990), Reshenie na EBM zadach plasticheskogo deformirovaniya [Computer solution of plastic deformation problems], Tehnіka, Kiev, Ukraine.

Vdovin, S.I. (1988), Metody rascheta I proektirovaniya na EBM processov shtampovki listovih I profilnih zagotovok [Computer methods of calculation and design of stamping sheet and profile pieces], Engineering, Moscow, Russia.

Dragobetsky, V.V. (2002), Reshenie odnomernoj zadachi plasticheskogo deformirovanija bimetallicheskih zagotovok pri impul'snom nagruzhenii [Solution of the one-dimensional problem of plastic deformation of bimetallic blanks under impact loading], Metallurgical and Mining Industry, no 8-9, pp. 507-511.

Guz, A.N., Kubenko, V.D. and Babayev, A.E. (1984), Gidrouprugost' sistem obolochek [Hydroelasticity of shell systems], Higber School, Kiev, Ukraine.

Konan, Yu.A. (1987), Svarka vzryvom [Explosion welding], Engineering, Moscow, Russia.

Belyaev, V.I., Pervukhin, L.B. and Chudnovsky, A.D. (1976), Vysokoskorostnaja deformacija metallov [High-speed deformation of metals], V.I. Belyaev, V.N. Kovalevsky, G.V. Smirnov, Science and technology, Minsk, Belorussija.

Bolotin, V.V. and Novikov, Yu.N. (1980), Mehanika mnogoslojnyh konstrukcij [Mechanics of multilayer constructions], Engineering, Moscow, Russia.

Vasidzu, K. (1987), Variacionnye metody v teorii uprugosti i plastichnosti [Variational methods in the theory of elasticity and plasticity], Translated by Kobelev, V., Seyranyan, A.P., in Banichuk, N.V. (ed.), Mir, Moscow, Russia.

Korolev, V.I. (1970), Uprugo-plasticheskie deformacii obolochek [Elastic-plastic deformations of shells], Engineering, Moscow, Russia.

Gulyaev, Y.G., Chukmasov, S.A. and Guba, A.V. (1986), Matematicheskoe modelirovanie processov obrabotki metallov davleniem [Mathematical modeling of metal forming processes], Naukova Dumka, Kiev, Ukraine.

Kolmogorov, V.A. (1986), Obrabotka metallov davleniem [Metal Forming], Metallurgy, Moscow, Russia.

Gong, G.Y. (1980), Teoreticheskie osnovy obrabotki metallov davleniem (Teorija plastichnosti) [Theoretical Foundations of metal forming (theory of plasticity)], Metallurgy, Moscow, Russia.

Dragobetsky, V.V. (2003), Rozrahunok ta eksperіmental'na perevіrka napruzhenogo stanu sharuvatih materіalіv pri іmpul'snomu navantazhennі [Calculation and experimental test of the stressed state of layered materials during impulse loading], News Kremenchutskogo sovereign polіtehnіchnogo unіversitetu, Naukovі pratsі KDPU, Kremenchuk, no 2 (19), pp. 82-84.

Downloads

Published

2016-11-17

Issue

Section

Original study