Because of its geometry dependence and loss of physical meaning, the incremental crack resistance curve cannot characterize ductile fractures with large crack extensions and plastic deformations. Therefore, the energy dissipation rate R is employed to overcome these deficiencies, even though specimen size effects still exist. In the study, considering the fractal crack path and concomitant plastic dissipation in the fractal domain, a scale‑invariant energy dissipation rate, γp*, is proposed in the context of renormalization group theory. Some experiments in the literature have validated this approach. The fitted fractal energy dissipation rate is independent of the specimen size and initial crack length; moreover, as the specimen size increases, progressive fractality vanishing is found consistently with geometrical multifractality.

Characterization of Ductile Crack Propagation by Fractal Energy Dissipation Rate / Zhao, Yunfeng; Zhao, Yangyang; Lacidogna, Giuseppe; Gong, Baoming; Wang, Sheng. - In: APPLIED SCIENCES. - ISSN 2076-3417. - STAMPA. - 12:23(2022), p. 12388. [10.3390/app122312388]

Characterization of Ductile Crack Propagation by Fractal Energy Dissipation Rate

Giuseppe Lacidogna;
2022

Abstract

Because of its geometry dependence and loss of physical meaning, the incremental crack resistance curve cannot characterize ductile fractures with large crack extensions and plastic deformations. Therefore, the energy dissipation rate R is employed to overcome these deficiencies, even though specimen size effects still exist. In the study, considering the fractal crack path and concomitant plastic dissipation in the fractal domain, a scale‑invariant energy dissipation rate, γp*, is proposed in the context of renormalization group theory. Some experiments in the literature have validated this approach. The fitted fractal energy dissipation rate is independent of the specimen size and initial crack length; moreover, as the specimen size increases, progressive fractality vanishing is found consistently with geometrical multifractality.
2022
File in questo prodotto:
File Dimensione Formato  
applsci-12-12388-v2.pdf

accesso aperto

Descrizione: Articolo Principale
Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Creative commons
Dimensione 4.74 MB
Formato Adobe PDF
4.74 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2974006