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Some remarks on the Neuber rule applied to a control volume surrounding sharp and blunt notch tips
Author(s) -
Zappalorto M.,
Lazzarin P.
Publication year - 2014
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/ffe.12124
Subject(s) - structural engineering , materials science , volume (thermodynamics) , mechanics , nonlinear system , radius , physics , engineering , thermodynamics , computer science , computer security , quantum mechanics
The paper deals with the small scale yielding estimation of nonlinear stresses and strains at the root of sharp and blunt notches through the mechanical model of antiplane shear loadings. The frame stems from the relation existing between the elastic and plastic averaged strain energy densities evaluated over the control volume drawn by the energy contour lines ahead of the notch tip. The analysis proves that there exist different relationships in terms of point‐wise elastic and plastic stresses and strains at the notch tip depending whether the notch is sharp (small notch tip radius) or blunt. For sharp notches, the analysis confirms previous results obtained by the present authors, according to whichK τ ⋅ K γ = 2 n / n + 1× K t 2 . This equation accounts for the influence of the material law through the hardening exponent n . Differently, when the notch can be regarded as blunt, calculations over the control volume giveK τ ⋅ K γ = K t 2 , in agreement with the Neuber rule.