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Optimal Design of Disks Under Large Creep Deformation

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Advances in Mechanics of Materials and Structural Analysis

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 80))

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Abstract

Optimal distribution of thickness in the class of polynomial functions for rotating axisymmetric disks with respect to the mixed creep rupture time are found. Two effects lead to damage: reduction of transversal dimensions and growth of micro-cracks are simultaneously taken into account. The former requires the finite strain analysis, the latter is described by the Kachanov’s evolution equation. Behaviour of the material is described by nonlinear Norton’s law, generalized for Cauchy true stress and logarithmic strain, and the shape change law in the form of similarity of Cauchy true stress and logarithmic strain deviators. For optimal shapes, changes of geometry of the disk and continuity function are presented. The theoretical considerations based on the perception of the structural components as some highlighted objects with defined properties are presented.

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Author information

Authors and Affiliations

  1. Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106, Warsaw, Poland

    Aneta Ustrzycka & Zbigniew L. Kowalewski

  2. Cracow University of Technology, Warszawska 24, 31-155, Kraków, Poland

    Krzysztof Szuwalski

Authors
  1. Aneta Ustrzycka
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  2. Krzysztof Szuwalski
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  3. Zbigniew L. Kowalewski
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Corresponding author

Correspondence to Zbigniew L. Kowalewski .

Editor information

Editors and Affiliations

  1. Institute of Mechanics Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät 5, Abt. 1, Hochschule Bremen, Bremen, Bremen, Germany

    Frank Jablonski

  3. Institut für Mechanik, Technische Universität Berlin, Berlin, Germany

    Wolfgang H. Müller

  4. Institute of Mechanics, Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Konstantin Naumenko

  5. Institute for Lightweight Construction and Design (KLuB), Technische Universität Darmstadt, Darmstadt, Germany

    Patrick Schneider

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Ustrzycka, A., Szuwalski, K., Kowalewski, Z.L. (2018). Optimal Design of Disks Under Large Creep Deformation. In: Altenbach, H., Jablonski, F., Müller, W., Naumenko, K., Schneider, P. (eds) Advances in Mechanics of Materials and Structural Analysis. Advanced Structured Materials, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-319-70563-7_18

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  • DOI: https://doi.org/10.1007/978-3-319-70563-7_18

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  • Print ISBN: 978-3-319-70562-0

  • Online ISBN: 978-3-319-70563-7

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