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Approximate Analysis of Extrusion Process for Green Type Porous Material

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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.

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Funding

The work was supported by of the Russian Foundation for Basic Research, project no. 18-31-00189.

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Authors and Affiliations

  1. Institute of Machinery and Metallurgy, KhFRC FEBRAS, Komsomolsk-on-Amur, Russia

    G. M. Sevastyanov

  2. Amur State University of Humanities and Pedagogy, Komsomolsk-on-Amur, Russia

    A. M. Sevastyanov

Authors
  1. G. M. Sevastyanov
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  2. A. M. Sevastyanov
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Correspondence to G. M. Sevastyanov or A. M. Sevastyanov.

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Translated by N. Petrov

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Sevastyanov, G.M., Sevastyanov, A.M. Approximate Analysis of Extrusion Process for Green Type Porous Material. Mech. Solids 56, 1363–1372 (2021). https://doi.org/10.3103/S0025654421070220

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