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Published in:
Standardized Analytical Weight Function Method Based on Crack Opening Displacements Read chapter Read first chapter

2022 | OriginalPaper | Chapter

12. Computation of Crack Opening Displacements and Crack Opening Areas Using Analytical Weight Function Method

Authors : Xue-Ren Wu, Wu Xu

Published in: Weight Function Methods in Fracture Mechanics

Publisher: Springer Nature Singapore

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Abstract

Determination of CODs for arbitrary crack face loadings by using the standardized analytical weight function method (WFM) is described in this chapter. Analytical COD-expressions are derived for three types of basic crack line stresses: distributed stress over the entire crack, a segment of uniform pressure and a pair of point forces acting at arbitrary location of the crack. Calculation methods for crack opening displacement at crack mouth and at fictitious crack tip, CMOD and CTOD, by using the analytical WFM are presented. CMODs for center and edge cracks under polynomial stresses are easily determined. The methods are verified by comparisons to exact and highly accurate results obtained using other methods in the literature. By integration of the CODs from the analytical WFM, crack opening area is readily obtained.

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previous chapter Analysis of Cracks in Thermal and Residual Stress Fields Using Weight Function Method
next chapter Weight Function Analyses of Crack Bridging, Cohesive Model and Crack Opening Stress
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Metadata
Title
Computation of Crack Opening Displacements and Crack Opening Areas Using Analytical Weight Function Method
Authors
Xue-Ren Wu
Wu Xu
Copyright Year
2022
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_12

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