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Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder

Author

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  • Niccolini, Gianni
  • Rubino, Alessio
  • Carpinteri, Alberto

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.

Suggested Citation

  • Niccolini, Gianni & Rubino, Alessio & Carpinteri, Alberto, 2020. "Dimensional transitions in creeping materials due to nonlinearity and microstructural disorder," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307402
    DOI: 10.1016/j.chaos.2020.110345
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