Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder

Niccolini, G.; Rubino, A.; Carpinteri, A.

doi:10.1016/j.chaos.2020.110345

The transition from extremely brittle to very ductile behaviours of creeping materials is discussed, where analogies with power-law hardening materials are pointed out. Considering Norton's Law as a viscous constitutive law, it is possible to define a generalized stress-intensity factor Kc ―characterizing the intermediate asymptotic behaviour under steady-state creep conditions― with physical dimensions depending upon the Norton stress exponent n. In the two limit cases of creep resistant materials (n≅1) and creep sensitive materials (n ≫ 1), Kc assumes respectively the dimensions of an elastic stress-intensity factor (FL−3/2) and of a stress (FL−2). Such a dimensional transition, with consequent stress-singularity attenuation, is completely analogous to that occurring through the introduction of a fractal stress-intensity factor (Kc)*, when the influence of microstructural disorder is considered.

Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder / Niccolini, G.; Rubino, A.; Carpinteri, A.. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - ELETTRONICO. - 141(2020), pp. 1-6. [10.1016/j.chaos.2020.110345]

Titolo:	Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder
Autori:	NICCOLINI, GIANNI RUBINO, ALESSIO CARPINTERI, ALBERTO
Data di pubblicazione:	2020
Rivista:	CHAOS, SOLITONS AND FRACTALS
Digital Object Identifier (DOI):	http://dx.doi.org/10.1016/j.chaos.2020.110345
Appare nelle tipologie:	1.1 Articolo in rivista

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CHAOS-D-20-01438_Manuscript Review.docx	Ultima versione degli autori già referata	2. Post-print / Author's Accepted Manuscript		Embargo: 13/10/2022 Richiedi una copia

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http://hdl.handle.net/11583/2857109

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