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Sixty Shades of Generalized Continua pp 235–256Cite as

On the Influence of POIsson’s Ratio on Phase Transformations Limiting Surfaces

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Part of the Advanced Structured Materials book series (STRUCTMAT,volume 170)

Abstract

The influence of the sign and value of Poisson’s ratios of the phases on the limiting surfaces of stress-induced phase transformations is studied. Relationships defining the limiting surfaces in the case of auxetic phases are derived and the difference with the case of positive Poisson’s ratio is highlighted. Limiting surfaces for phase transformations in the cases if one or both phases are auxetic materials are compared with the limiting surfaces constructed for ‘normal’ phases.

Keywords

  • Stress-induced phase transformations
  • Limiting phase transformation surfaces
  • Metamaterials
  • Negative Poisson ratio
  • Auxetics

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Author information

Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering RAS, Bolshoy pr., 61, V.O, St. Petersburg, 199178, Russian Federation

    Alexander B. Freidin & Leah L. Sharipova

Authors
  1. Alexander B. Freidin
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  2. Leah L. Sharipova
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Editor information

Editors and Affiliations

  1. Institut für Mechanik, Fakultät für Maschinenbau, Otto-von-Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Tallinn University of Technology, Tallinn, Estonia

    Arkadi Berezovski

  3. Università degli Studi dell’Aquila, L'Aquila, Italy

    Francesco dell'Isola

  4. Institute of Problems of Mechanical Engineering, Saint Petersburg, Russia

    Alexey Porubov

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Freidin, A.B., Sharipova, L.L. (2023). On the Influence of POIsson’s Ratio on Phase Transformations Limiting Surfaces. In: Altenbach, H., Berezovski, A., dell'Isola, F., Porubov, A. (eds) Sixty Shades of Generalized Continua. Advanced Structured Materials, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-031-26186-2_15

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