TY - JOUR
T1 - Planar flow of a three-layer plastic material through a converging wedge-shaped channel. Part 1 - analytical solution
AU - Alexandrov, Sergei
AU - Mishuris, Gennadij
AU - Miszuris, Wiktoria
N1 - Funding Information:
The authors would like to thank the Rzeszow University of Technology (Poland) and the vice-rector of the University, Prof. R.E. Sliwa, for a support of this work. S.A. acknowledges a support from the Russian Foundation for Basic Research (Grant 99-01-00926). G.M. is very thankful to the Alexander von Humboldt Foundation for a support.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/9
Y1 - 2000/9
N2 - Flow of a three-layer strip consisting of two different materials through an infinite converging channel is studied. Each material is assumed to be incompressible, rigid perfectly plastic. It is shown that the structure of the solution strongly depends on the ratio of the yield stresses and the friction factors, namely the problem may have the unique solution, multiple solutions, and may have no solution. This makes a significant difference between the new solution and other known solutions to the problem of flow through infinite channels.
AB - Flow of a three-layer strip consisting of two different materials through an infinite converging channel is studied. Each material is assumed to be incompressible, rigid perfectly plastic. It is shown that the structure of the solution strongly depends on the ratio of the yield stresses and the friction factors, namely the problem may have the unique solution, multiple solutions, and may have no solution. This makes a significant difference between the new solution and other known solutions to the problem of flow through infinite channels.
UR - http://www.scopus.com/inward/record.url?scp=0034275107&partnerID=8YFLogxK
U2 - 10.1016/S0997-7538(00)01105-0
DO - 10.1016/S0997-7538(00)01105-0
M3 - Article
AN - SCOPUS:0034275107
SN - 0997-7538
VL - 19
SP - 811
EP - 825
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
IS - 5
ER -