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

Ben-Gurion University of the Negev, Tel Aviv University

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

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

Keywords

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

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
General Materials Science

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10.1016/j.engfracmech.2019.106815

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

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.",

keywords = "3-D singularities, Flux intensity functions, Part-elliptical crack, Quarter-elliptical crack, Semi-elliptical crack",

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doi = "10.1016/j.engfracmech.2019.106815",

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T1 - Extracting edge flux intensity functions along part-elliptical 3-D cracks by the quasidual function method

AU - Schapira, Yaron

AU - Yosibash, Zohar

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Y1 - 2020/3/1

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

KW - Part-elliptical crack

KW - Quarter-elliptical crack

KW - Semi-elliptical crack

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DO - 10.1016/j.engfracmech.2019.106815

M3 - مقالة

SN - 0013-7944

VL - 226

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

M1 - 106815

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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