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The yield effect in viscoplastic materials. A mathematical model

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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.

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Correspondence to Mauro Fabrizio.

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Fabrizio, M., Pecoraro, M. The yield effect in viscoplastic materials. A mathematical model. Z. Angew. Math. Phys. 70, 25 (2019). https://doi.org/10.1007/s00033-018-1070-2

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  • DOI: https://doi.org/10.1007/s00033-018-1070-2

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