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ELASTIC‐PLASTIC FRACTURE MECHANICS FOR INITIATION AND PROPAGATION OF NOTCH FATIGUE CRACKS
Author(s) -
HAMMOUDA M. M.,
SMITH R. A.,
MILLER K. J.
Publication year - 1979
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/j.1460-2695.1979.tb01350.x
Subject(s) - fracture mechanics , plasticity , materials science , crack closure , crack growth resistance curve , linear elasticity , fracture (geology) , composite material , crack tip opening displacement , shear (geology) , mechanics , structural engineering , physics , finite element method , engineering
Initiation and propagation are considered to be controlled by the extent of total plastic shear deformation φ. Crack initiation and crack propagation occur when φ, exceeds a critical threshold value which can be equated to threshold conditions determined from linear elastic fracture mechanics analyses. When a crack is in a plastically deformed zone φ t =φ p +φ e . where φ p is the component of φ t due to notch bulk plasticity and φ e , is the component of φ t due to a linear elastic fracture mechanics (LEFM) analysis of the crack tip plasticity field. When cracks initiate at notch roots φ t > φ th . As the crack propagates in the notch plastic zone the rate of decrease of v p will be different from the rate of increase of φ e and it is possible for φ t to decrease to a level below φ th thereby creating a non‐propagating crack.