Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-7pp.1363-1372

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G.M. Sevastyanov and A.M. Sevastyanov, "Approximate Analysis of Extrusion Process for Green Type Porous Material," Mech. Solids. 56 (7), 1363-1372 (2021)
Year 2021 Volume 56 Number 7 Pages 1363-1372
DOI 10.3103/S0025654421070220
Title Approximate Analysis of Extrusion Process for Green Type Porous Material
Author(s) G.M. Sevastyanov (Institute of Machinery and Metallurgy, KhFRC FEBRAS, Komsomolsk-on-Amur, Russia, akela.86@mail.ru)
A.M. Sevastyanov (Amur State University of Humanities and Pedagogy, Komsomolsk-on-Amur, Russia, mamiia20@mail.ru)
Abstract The stationary motion of an ideally plastic compressible material in a converging conical channel is considered. It is assumed that the material obeys the Green’s yield condition and normality rule. It is assumed that the maximum friction law is fulfilled on the contact surface of the material with the channel wall. The Cauchy stress tensor as a function of the local density of the medium is determined by solving an ordinary nonlinear differential equation of the first order, and finding the density is reduced to calculating a definite integral. Analytical dependences, which specify a two-sided estimate of the density and pressure in the channel, are obtained for arbitrary plastic moduli. The analytical results are compared with the available experimental data.
Keywords rigid-plastic analysis, porous materials, Green’s yield condition, extrusion, plastic compressibility
Received 17 March 2020Revised 29 July 2020Accepted 25 September 2020
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