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Plasticity Theory of Porous and Powder Metals

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Cellular and Porous Materials in Structures and Processes

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 521))

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Abstract

The present chapter mainly deals with several non-standard issues in the theory of plasticity for traditional metals as well as porous and powder metals. The flow formulation is adopted throughout the chapter. All the material models considered are rigid plastic, i.e. the elastic portion of the strain rate tensor is neglected. Assuming a rigid/perfectly plastic material model, it is shown that the velocity fields adjacent to surfaces of maximum friction must be describable by non-differentiable functions where the equivalent strain rate approaches infinity. This result is extended to the double-shearing model. Qualitative behavior of solutions based on various models of pressure-dependent plasticity is considered by means of problems permitting closed-form solutions. In particular, such features of the solutions as non-uniqueness, non-existence, singularity and rigid zones are emphasized. One possible application of the aforementioned singular solutions to describing intensive plastic deformation in a narrow layer near friction surfaces is shortly discussed.

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Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia

    Sergei Alexandrov

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  1. Sergei Alexandrov
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Editors and Affiliations

  1. Martin-Luther-UniversitÄt, Halle-Wittenberg, Germany

    Holm Altenbach

  2. Technical University of Malaysia, Malaysia

    Andreas Öchsner

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Alexandrov, S. (2010). Plasticity Theory of Porous and Powder Metals. In: Altenbach, H., Öchsner, A. (eds) Cellular and Porous Materials in Structures and Processes. CISM International Centre for Mechanical Sciences, vol 521. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0297-8_5

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  • DOI: https://doi.org/10.1007/978-3-7091-0297-8_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-0296-1

  • Online ISBN: 978-3-7091-0297-8

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