Abstract
The applicability of Irwin’s estimate to metals containing particles becomes dubious when the plastic zone (PZ) size is comparable to the particle spacing. Therefore, a multiscale model is used to investigate the crack tip plasticity in a cyclically loaded elastic-perfectly plastic matrix containing a realistic distribution of spherical particles. Homogenization and dimensional analysis demonstrate that the PZ shape differs from what is expected based on von Mises plasticity. The scaling of the PZ size with the square of the stress intensity factor is confirmed, but the proportionality coefficient is strongly affected by the particle volume fraction. Consequently, a new compact formula for the PZ size is proposed, which holds for material properties ranging from metal matrix composites to cast irons and is robust to minor particle deviations from the spherical shape.
Original language | English |
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Article number | 107428 |
Number of pages | 17 |
Journal | Engineering Fracture Mechanics |
Volume | 241 |
DOIs | |
Publication status | Published - 1 Jan 2021 |
Funding
This work received support from the Danish Research Council for Independent Research, grant no. 8022-00085B. T.A. gratefully acknowledges Prof. Jesper Hattel for funding acquisition and Senior Researcher Søren Fæster for sharing the X-ray tomography data. This work received support from the Danish Research Council for Independent Research, grant no. 8022-00085B. T.A. gratefully acknowledges Prof. Jesper Hattel for funding acquisition and Senior Researcher S?ren F?ster for sharing the X-ray tomography data.
Funders | Funder number |
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Natur og Univers, Det Frie Forskningsråd | 8022-00085B |
Natur og Univers, Det Frie Forskningsråd |
Keywords
- Fatigue
- Crack
- Plastic zone
- Plastic zone size
- Heterogeneous materials