Towards a new model of crack tip stress fields

This work introduces a novel mathematical model of the stresses around the tip of a fatigue crack, which considers the effects of plasticity through an analysis of their shielding effects on the applied elastic field. The ability of the model to characterize plasticity-induced effects of cyclic load...

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Bibliographic Details
Published in:International journal of fracture 2007-12, Vol.148 (4), p.361-371
Main Authors: CHRISTOPHER, C. J, JAMES, M. N, PATTERSON, E. A, TEE, K. F
Format: Article
Language:English
Subjects:
Crack propagation
Crack tips
Cyclic loads
Exact sciences and technology
Fatigue failure
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Mathematical models
Photoelasticity
Physics
Plastic properties
Plastic zones
Solid mechanics
Static elasticity (thermoelasticity...)
Stress distribution
Structural and continuum mechanics
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Summary:This work introduces a novel mathematical model of the stresses around the tip of a fatigue crack, which considers the effects of plasticity through an analysis of their shielding effects on the applied elastic field. The ability of the model to characterize plasticity-induced effects of cyclic loading on the elastic stress fields is assessed and demonstrated using full-field photoelasticity. The focus is on determining the form of the shielding stress components (induced by compatibility requirements at the elastic–plastic interface along the crack flank and via the crack tip plastic zone) and how they influence the crack tip elastic stress fields during a load cycle. The model is successfully applied to the analysis of a fatigue crack growing in a polycarbonate CT specimen.
ISSN:0376-9429
1573-2673
DOI:10.1007/s10704-008-9209-3