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The yield effect in viscoplastic materials. A mathematical model

  • Mauro FabrizioEmail author
  • Massimo Pecoraro
Article
  • 22 Downloads

Abstract

We propose a phase field system that describes an elastic–plastic transition in which we observe a performance force linked to a stress that has a permanent deformation. This yield behavior is described by a nonlinear fractional model, and its thermodynamic compatibility is demonstrated. Finally, some simulations are presented describing the phase diagram of deformation and deformation cycles.

Mathematics Subject Classification

74A50 

Notes

Compliance with ethical standards

Conflicts of interest

Finally, the authors declare that they have no conflict of interest on the subject discussed in this manuscript.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly
  2. 2.Università di SalernoFiscianoItaly

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