We propose a continuum model of fibrous material that may undergo an internal reorganization, which turns out in a plastic change of the orientation of the fibers when the remodeling torque achieves a threshold. We have recently found that the reorientation may induce a complex scenario in the response of such materials. In a traction test, we show that the most general transversely isotropic material may evolve in three different ways; in particular, the fibers asymptotically tend (regularly or with jumps): (A) to a given angle; (B) to align perpendicularly to the load direction; (C) to align with the load direction if their initial orientation is less than a given value otherwise perpendicularly. We focus on the latter material response (C) which has all the ingredients to manifest a phase transition phenomenon. Finally, we provide a numerical investigation to demonstrate phase segregation.

A variational model for plastic reorientation in fibrous material: numerical experiments on phase segregation / Rodella, A.; Favata, A.; Vidoli, S.. - (2023), pp. 17-22. (Intervento presentato al convegno 5th Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2022 tenutosi a Palermo) [10.21741/9781644902431-3].

A variational model for plastic reorientation in fibrous material: numerical experiments on phase segregation

Rodella A.;Favata A.;Vidoli S.
2023

Abstract

We propose a continuum model of fibrous material that may undergo an internal reorganization, which turns out in a plastic change of the orientation of the fibers when the remodeling torque achieves a threshold. We have recently found that the reorientation may induce a complex scenario in the response of such materials. In a traction test, we show that the most general transversely isotropic material may evolve in three different ways; in particular, the fibers asymptotically tend (regularly or with jumps): (A) to a given angle; (B) to align perpendicularly to the load direction; (C) to align with the load direction if their initial orientation is less than a given value otherwise perpendicularly. We focus on the latter material response (C) which has all the ingredients to manifest a phase transition phenomenon. Finally, we provide a numerical investigation to demonstrate phase segregation.
2023
5th Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2022
FEniCS; Fibrous Material; Phase Segregation; Plastic Remodeling
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
A variational model for plastic reorientation in fibrous material: numerical experiments on phase segregation / Rodella, A.; Favata, A.; Vidoli, S.. - (2023), pp. 17-22. (Intervento presentato al convegno 5th Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2022 tenutosi a Palermo) [10.21741/9781644902431-3].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1678429
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