Journal
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES
Volume 35, Issue 12, Pages 1105-1119Publisher
WILEY
DOI: 10.1111/j.1460-2695.2012.01698.x
Keywords
Elasticity; generalized plane strain; out-of-plane mode; stress field; V-notches
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By making use of the generalized plane strain hypothesis, an approximate stress field theory has been developed according to which the three-dimensional governing equations lead to a system where a bi-harmonic equation and a harmonic equation should be simultaneously satisfied. The former provides the solution of the corresponding plane notch problem, and the latter provides the solution of the corresponding out-of-plane shear notch problem. The system can be applied not only to pointed three-dimensional V-notches but also to sharply radiused V-notches characterized by a notch tip radius small enough. Limits and degree of accuracy of the analytical frame are discussed comparing theoretical results and numerical data from FE models.
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