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

The applicability of Irwin’s estimate to metals containing particles becomes dubious when the plastic zone (PZ) size is comparable particle spacing. Therefore, a multiscale model used investigate crack tip plasticity in cyclically loaded elastic-perfectly matrix realistic distribution spherical particles. Homogenization and dimensional analysis demonstrate that PZ shape differs from what expected based on von Mises plasticity. scaling with square stress intensity factor confirmed, but proportionality coefficient strongly affected by volume fraction. Consequently, new compact formula for proposed, which holds material properties ranging metal composites cast irons robust minor deviations shape.