Extracting edge flux intensity functions along part-elliptical 3-D cracks by the quasidual function method

Yaron Schapira; Zohar Yosibash

doi:10.1016/j.engfracmech.2019.106815

Extracting edge flux intensity functions along part-elliptical 3-D cracks by the quasidual function method

Yaron Schapira, Zohar Yosibash^*

^*Corresponding author for this work

School of Mechanical Engineering

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Part-elliptical crack fronts are common in real life, especially at free surfaces and at fastener holes. For such cases we herein extend the quasidual function method (QDFM) presented in Schapira and Yosibash (2019) to allow the extraction of edge flux intensity functions (EFIFs) from finite element solutions. We consider the Laplace operator, which provides a convenient framework for the extension of the QDFM to the elasticity operator. The QDFM post-processes the FE solution away from the singular edge. Numerical examples demonstrating the efficiency and accuracy of the proposed method are given for semi-elliptical and quarter-elliptical cracks.

Original language	English
Article number	106815
Journal	Engineering Fracture Mechanics
Volume	226
DOIs	https://doi.org/10.1016/j.engfracmech.2019.106815
State	Published - 1 Mar 2020

Funding

Funders	Funder number
Israel Science Foundation	964/18

Keywords

3-D singularities
Flux intensity functions
Part-elliptical crack
Quarter-elliptical crack
Semi-elliptical crack

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10.1016/j.engfracmech.2019.106815

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abstract = "Part-elliptical crack fronts are common in real life, especially at free surfaces and at fastener holes. For such cases we herein extend the quasidual function method (QDFM) presented in Schapira and Yosibash (2019) to allow the extraction of edge flux intensity functions (EFIFs) from finite element solutions. We consider the Laplace operator, which provides a convenient framework for the extension of the QDFM to the elasticity operator. The QDFM post-processes the FE solution away from the singular edge. Numerical examples demonstrating the efficiency and accuracy of the proposed method are given for semi-elliptical and quarter-elliptical cracks.",

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AU - Yosibash, Zohar

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N2 - Part-elliptical crack fronts are common in real life, especially at free surfaces and at fastener holes. For such cases we herein extend the quasidual function method (QDFM) presented in Schapira and Yosibash (2019) to allow the extraction of edge flux intensity functions (EFIFs) from finite element solutions. We consider the Laplace operator, which provides a convenient framework for the extension of the QDFM to the elasticity operator. The QDFM post-processes the FE solution away from the singular edge. Numerical examples demonstrating the efficiency and accuracy of the proposed method are given for semi-elliptical and quarter-elliptical cracks.

AB - Part-elliptical crack fronts are common in real life, especially at free surfaces and at fastener holes. For such cases we herein extend the quasidual function method (QDFM) presented in Schapira and Yosibash (2019) to allow the extraction of edge flux intensity functions (EFIFs) from finite element solutions. We consider the Laplace operator, which provides a convenient framework for the extension of the QDFM to the elasticity operator. The QDFM post-processes the FE solution away from the singular edge. Numerical examples demonstrating the efficiency and accuracy of the proposed method are given for semi-elliptical and quarter-elliptical cracks.

KW - 3-D singularities

KW - Flux intensity functions

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KW - Quarter-elliptical crack

KW - Semi-elliptical crack

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Extracting edge flux intensity functions along part-elliptical 3-D cracks by the quasidual function method

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