We propose a continuum model of fibrous materials that may undergo an internal reorganization, which turns out in a plastic change of the orientation of the fibers, if a threshold is achieved. We find that the remodeling may induce a rich material response. In a traction test, when the threshold condition is reached, 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 with respect to the load direction; (C) to align with the load direction if their initial angle is less than a given value, or perpendicularly, otherwise. We provide analytical solutions for the evolutive homogeneous problem and some numerical results for a non-homogeneous condition. The theory is very general and can find applications in several problems arising in material mechanics.
An internal variable model for plastic remodeling in fibrous materials / Favata, Antonino; Rodella, Andrea; Vidoli, Stefano. - In: EUROPEAN JOURNAL OF MECHANICS. A, SOLIDS. - ISSN 0997-7538. - (2022). [10.1016/j.euromechsol.2022.104718]
An internal variable model for plastic remodeling in fibrous materials
Favata, Antonino
;Rodella, Andrea;Vidoli, Stefano
2022
Abstract
We propose a continuum model of fibrous materials that may undergo an internal reorganization, which turns out in a plastic change of the orientation of the fibers, if a threshold is achieved. We find that the remodeling may induce a rich material response. In a traction test, when the threshold condition is reached, 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 with respect to the load direction; (C) to align with the load direction if their initial angle is less than a given value, or perpendicularly, otherwise. We provide analytical solutions for the evolutive homogeneous problem and some numerical results for a non-homogeneous condition. The theory is very general and can find applications in several problems arising in material mechanics.File | Dimensione | Formato | |
---|---|---|---|
Favata_Preprint_Plastic_2022.pdf.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Creative commons
Dimensione
1.89 MB
Formato
Adobe PDF
|
1.89 MB | Adobe PDF | |
Favata_Plastic remodeling_2022.pdf.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
2.12 MB
Formato
Adobe PDF
|
2.12 MB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.