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

Sergei Alexandrov; Gennadij Mishuris; Wiktoria Miszuris

doi:10.1016/S0997-7538(00)01105-0

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

Sergei Alexandrov
, Gennadij Mishuris
, Wiktoria Miszuris

Adran Mathemateg

Russian Academy of Sciences
Rzeszów University of Technology

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

9 Dyfyniadau (Scopus)

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	811-825
Nifer y tudalennau	15
Cyfnodolyn	European Journal of Mechanics, A/Solids
Cyfrol	19
Rhif cyhoeddi	5
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/S0997-7538(00)01105-0
Statws	Cyhoeddwyd - Medi 2000

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10.1016/S0997-7538(00)01105-0

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

abstract = "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.",

author = "Sergei Alexandrov and Gennadij Mishuris and Wiktoria Miszuris",

note = "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.",

year = "2000",

month = sep,

doi = "10.1016/S0997-7538(00)01105-0",

language = "English",

volume = "19",

pages = "811--825",

journal = "European Journal of Mechanics, A/Solids",

issn = "0997-7538",

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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 - https://www.scopus.com/pages/publications/0034275107

U2 - 10.1016/S0997-7538(00)01105-0

DO - 10.1016/S0997-7538(00)01105-0

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EP - 825

JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

IS - 5

ER -

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

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