Planar flow of a three-layer plastic material through a converging wedge-shaped channel. Part 1 - analytical solution

European Journal of Mechanics, A/Solids

Volumn 19, Issue 5, 2000, Pages 811-825

  Alexandrov, Sergei ^a   Mishuris, Gennadij ^b   Miszuris, Wiktoria ^b  

^a INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

^b RZESZOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY; FRICTION; INTERFACES (MATERIALS); PLASTICS; PROBLEM SOLVING;

CONVERGING WEDGE SHAPED CHANNEL; PLANAR PLASTIC FLOW; SLIDING;

PLASTIC FLOW;

EID: 0034275107     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(00)01105-0     Document Type: Article

References (27)

1. Alcaraz J.L., 1999. Instabilities in bimetallic layers. Int. J. Plasticity 15, 1342-1358.
2. Alcaraz J.L., Martinez-Esnaola J.M., Gil-Sevillano J., 1996. An analytical approach to the stress field in the extrusion of bimetallic tubes. Int. J. Solids Structures 33 (14), 2075-2093.
3. Alcaraz J.L., Gil-Sevillano J., 1996. Safety maps in bimetallic extrusion. J. Mater. Proc. Technol. 60, 133-140.
4. Alexandrov S.E., Barlat F., 1997. Axisymmetric plastic flow of an F.C.C. lattice metal in an infinite converging channel. Izvestiya RAN MTT (Mechanics of Solids) 32 (5), 125-131 [Transl. from Russian].
5. Alexandrov S., Barlat F., 1999. Modeling axisymmetric flow through a converging channel with an arbitrary yield condition. Acta Mechanica 133, 57-68.
6. Alexandrov S., Goldstein R., 1993-a. Flow of a plastic substance through a convergent channel: Characteristics of the solution. Sov. Phys. Dokl. 38 (9), 370-372 [Transl. from Russian].
7. Alexandrov S., Goldstein R., 1993-b. Separating flows in plasticity theory. Izvestiya RAN MTT (Mechanics of Solids) 28 (4), 135-140 [Transl. from Russian].
8. Browman M.J., 1987. Steady forming processes of plastic materials with their rotation. Int. J. Mech. Sci. 29, 483-489.
9. Durban D., 1979. Axially symmetric radial flow of rigid/linear-hardening materials. ASME J. Appl. Mech. 46, 322-328.
10. Durban D., 1984. Drawing and extrusion of composite sheets. Int. J. Solids Structures 20, 649-666.
11. Durban D., Budiansky B., 1979. Plane-strain radial flow of plastic materials. J. Mech. Phys. Solids 26, 303-324.
12. Goton M., Yamashita M., Torii N., 1993. Unexpected phenomena in multilayered copper subjected to plane strain compression. JSME Int. J. Ser. A 36 (2), 182-189.
13. Hill R., 1983. The Mathematical Theory of Plasticity, Clarendon Press, Oxford.
14. Hwang M., Tsai Y.C., 1996. Study on hydrostatic extrusion of composite rods. In: T. Altan (Ed.), Proc. 5th Int. Conf. Technol. Plasticity, Vol. 1, Columbus, Ohio, USA, October 7-10, Ohio University Press, Columbus, pp. 217-220.
15. Lukaschkin N.D., Borissow A.P., 1996. Interface surface behaviour in the upsetting of sandwich metal sheets. J. Mater. Proc. Technol. 61, 292-297.
16. Malinin N.N., 1986. Creep in Metalforming, Mashinostroenie, Moscow [in Russian].
17. Shield R.T., 1955. Plastic flow in a converging conical channel. J. Mech. Phys. Solids 3, 246-258.
18. Sliwa R., 1991. A test determining the ability of different material to undergo simultaneous plastic deformation to produce metal composites. Materials Science and Engineering A 135, 259-265.
19. Sliwa R., 1996. Longitudially oriented metal composites obtained by large plastic deformation. In: Proc. Conf. Minerals & Materials 96, Vol. II - Materials, Somerset West, South Africa, pp. 607-614.
20. Sliwa R., 1997. Plastic zones in the extrusion of metal composites. J. Mater. Proc. Technol. 67, 29-35.
21. Sliwa R., Mishuris G., 1997. A modelling the plastic flow of composite materials in the extrusion process. Engng. Trans. 45 (2), 275-293.
22. Sliwa R., Mishuris G., 1999. A modified flow field in the extrusion of bimetallic systems. Engng. Trans. 47 (2), 203-215.
23. Sokolovskii V.V., 1950. Theory of Plasticity, GITTL, Moscow - Leningrad [in Russian].
24. Taheri A.K., 1993. Analytical study of drawing of non-bonded trimetallic strips. Int. J. Mash. Tool Manuf. 33, 71-88.
25. Tayal A.K., Natarajan R., 1981. A finite element analysis of axisymmetric extrusion of composite rods. Int. J. Mash. Tool Des. Res. 21 (3-4), 227-235.
26. Tokuno H., Ikeda K., 1991. Analysis of deformation in the extrusion of composite rods. J. Mater. Proc. Technol. 26, 323-335.
27. Tomita Y., Kim Y., 1992. Bifurcation behaviour of bilayered tubes subjected to uniform shrinkage under plane strain condition. Int. J. Solids Structures 29 (22), 2723-2733.