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Geometric representation of the deformation of powder materials

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An investigation was conducted, using Pavlov's approach, into the deformation of powder materials. The relation between deformation coefficients is expressed, on the basis of the law of the conservation of mass, by the same mathematical description for free-flowing, porous, and dense bodies, while the geometric representation of the deformation of these bodies is a hyperbolic paraboloid. This is evidence that, in the relative density range l ≥ τ > 0, a single process characterizes the shaping of these materials by the application of pressure. In spite of the large difference in properties between free-flowing, porous, and dense materials, the theory of shaping of powder materials by the application of pressure may be regarded as the most comprehensive, in which the working of dense bodies is but one particular case.

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Literature cited

  1. 1.

    I. M. Pavlov, Theory of Rolling [in Russian], Metallurgizdat, Moscow (1950).

  2. 2.

    S. I. Gubkin, Plastic Deformation of Metals [in Russian], Vol. 1, Metallurgizdat, Moscow (1961).

  3. 3.

    Yu. I. Kovalenko and G. A. Vinogradov, Poroshkovaya Met., No. 9 (1972).

  4. 4.

    A. Lowson, in: Solids under High Pressure [Russian translation], Mir, Moscow (1966).

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Translated from Poroshkovaya Metallurgiya, No. 10 (118), pp. 14–18, October, 1972.

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Kovalenko, Y.I., Vinogradov, G.A. Geometric representation of the deformation of powder materials. Powder Metall Met Ceram 11, 783–786 (1972). https://doi.org/10.1007/BF00844701

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  • Relative Density
  • Dense Material
  • Mathematical Description
  • Powder Material
  • Geometric Representation