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]

Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder

Niccolini G.;Rubino A.;Carpinteri A.
2020

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2857109