The influence of higher order terms of Williams series on a more accurate description of stress fields around the crack tip

ABSTRACT In this work, the crack tip stress field is investigated in two different configurations loaded in mode I as well as in mode I + II. The detailed two‐dimensional solution includes a conventional finite elements analysis that is compared to results obtained analytically from what is referred...

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Bibliographic Details
Published in:Fatigue & fracture of engineering materials & structures 2015-01, Vol.38 (1), p.91-103
Main Authors: Malikova, L, Vesely, V
Format: Article
Language:English
Subjects:
crack
Crack propagation
Fatigue failure
Finite element analysis
Fracture mechanics
higher order terms
Mathematical analysis
near-tip fields
nonlinear zone extent
over-deterministic method
quasi-brittle fracture
Series expansion
Stress concentration
Stress distribution
Stresses
Two dimensional
Williams power expansion
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Summary:ABSTRACT In this work, the crack tip stress field is investigated in two different configurations loaded in mode I as well as in mode I + II. The detailed two‐dimensional solution includes a conventional finite elements analysis that is compared to results obtained analytically from what is referred to as Williams expansion. The influence of consideration of various numbers of terms of the series expansion on the stress distribution is discussed, and the significance of the multi‐parameter fracture mechanics approach is emphasized for some engineering applications, for example, failure of quasi‐brittle materials and estimation of plastic zone extent.
ISSN:8756-758X
1460-2695
DOI:10.1111/ffe.12221