A simplified formula to estimate the size of the cyclic plastic zone in metals containing elastic particles

Andriollo, Tito; Kouznetsova, V Varvara

doi:10.1016/j.engfracmech.2020.107428

Cited by 4 publications

(1 citation statement)

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“…Several research [23,24,25,26] are focused on the determination of the plastic zone but the notion of the fracture process zone is rarely developed [17]. In this paper, the plastic zone found by the Irwin's model and the fracture elaboration zone assumed by the volumetric approach will be studied and compared using the formula proposed at the base of the Irwin's model.…”

Section: Introductionmentioning

confidence: 99%

Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach

Fakir¹,

Minor²

2021

MATEC Web Conf.

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At crack tip the stress distribution has singularities (i.e the stress intensity is infinite) which is physically impossible. Irwin realised that the stresses at crack tip are finite and subsequently introduced the Stress Intensify Factor(SIF). This factor is used to determine this plastic zone size. The crack is a special case of the notch. Around the notch, the fracture needs a volume to develop according to the volumetric approach. This volume is characterised by the distance effective Xeff, the stress effective σeff and the stress intensity factorKρI. In This paper a new proposed formula called “Modified Irwin’s Model” based on Irwin’s model can be used to determine the plastic zone size. This new formula will be verified using numerical finite element simulation and validated using the Von-Mises and Tresca Criteria. The Modified Irwin’s Model can be an alternative way to estimate the fracture elaboration zone from the plastic zone.

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