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

2022 | OriginalPaper | Chapter

3. Verification and Accuracy Evaluation of Various Weight Function Methods

Authors : Xue-Ren Wu, Wu Xu

Published in: Weight Function Methods in Fracture Mechanics

Publisher: Springer Nature Singapore

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Abstract

To ensure successful application of weight function methods (WFMs) to fracture mechanics analysis, and to achieve high accuracy of stress intensity factor (SIF) solutions for arbitrary load cases, weight functions must be thoroughly verified. The best way to reveal the intrinsic accuracy of WFs is to employ Green’s functions (GF) for point-by-point comparison, instead of the customarily adopted comparisons of SIFs for some load cases. In the present chapter, a highly accurate numerical WF, the weight function complex Taylor series expansion (WCTSE), is described and used as benchmark solutions for verification of different analytical WFMs. The evaluation results from several crack geometries show that the COD-based standardized analytical WFM is superior to the two multiple reference states (MRS) WFMs, especially in term of solution accuracy and reliability. Several important factors affecting the robustness MRS WFMs are discussed, and sources of sensitivity and instability are analyzed.

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previous chapter Analysis and Discussions on Weight Function Methods Based on Multiple Reference Load Cases
next chapter Weight Functions for Center Crack Geometries
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Metadata
Title
Verification and Accuracy Evaluation of Various Weight Function Methods
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_3

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