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2022 | OriginalPaper | Chapter

5. Weight Functions for Edge Crack in Simply Connected Region

Authors : Xue-Ren Wu, Wu Xu

Published in: Weight Function Methods in Fracture Mechanics

Publisher: Springer Nature Singapore

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Abstract

In this chapter, standardized analytical weight functions (WFs) for a large variety of edge crack geometries in simply connected region are derived. The derived WFs are verified based on the Green’s functions obtained by using the highly accurate numerical method of “weight function complex Taylor series expansion (WCTSE)”. Closed-form expressions of stress intensity factors (SIFs) for three basic crack line stresses, including point force, power stress and constant stress segment, are derived. Calculated non-dimensional SIFs and crack mouth opening displacements (CMODs) for power stresses are given in tables, allowing rapid determination of SIFs and CMODs for crack line polynomial stresses. Many application examples are presented. Comparisons are made to the available literature data wherever possible. A large amount of accurate SIF solutions for edge crack geometries in simply connected region associated with various load cases are presented.

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previous chapter Weight Functions for Center Crack Geometries

next chapter Weight Functions for Edge Crack(s) in Multiply Connected Region

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Title: Weight Functions for Edge Crack in Simply Connected Region
Authors: Xue-Ren Wu
Wu Xu
Publisher: Springer Nature Singapore
Book: Weight Function Methods in Fracture Mechanics
Print ISBN: 978-981-16-8960-4

Electronic ISBN: 978-981-16-8961-1

Copyright Year: 2022
DOI: https://doi.org/10.1007/978-981-16-8961-1_5

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