Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles

Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles

The conventional method for predicting the shape change of a surface crack in a round bar simply utilizes the Paris-Erdogan law with the least squares method using a certain shape assumption with excessive constraints. In this paper, a three-parameter model for a round bar subjected to tension is de...

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Main Authors: Yali Yang, Seokjae Chu, Hao Chen
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Applied Sciences
Subjects:
fatigue crack growth
surface crack
crack shape change
three-parameter model
Online Access:https://www.mdpi.com/2076-3417/9/9/1751
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spelling doaj-a6e2f16d22fa4a16ad56336cd58afe992020-11-25T01:11:20ZengMDPI AGApplied Sciences2076-34172019-04-0199175110.3390/app9091751app9091751Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth CirclesYali Yang0Seokjae Chu1Hao Chen2School of Mechanical Engineering, University of Ulsan, Ulsan 680-749, KoreaSchool of Mechanical Engineering, University of Ulsan, Ulsan 680-749, KoreaSchool of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, ChinaThe conventional method for predicting the shape change of a surface crack in a round bar simply utilizes the Paris-Erdogan law with the least squares method using a certain shape assumption with excessive constraints. In this paper, a three-parameter model for a round bar subjected to tension is developed with fewer shape assumption restraints by employing a fatigue crack growth circles method. The equivalent stress intensity factor <inline-formula> <math display="inline"> <semantics> <mrow> <mo>&#916;</mo> <msub> <mi>K</mi> <mi>e</mi> </msub> </mrow> </semantics> </math> </inline-formula> based on both stress intensity factors along the current and new crack front is used to reduce the total number of increments. The results show that the proposed method has a good convergence speed and accurate prediction of crack shapes. The present method is validated by comparing the solution with other simulation solutions and experimental data.https://www.mdpi.com/2076-3417/9/9/1751fatigue crack growthsurface crackcrack shape changethree-parameter model
collection DOAJ
language English
format Article
sources DOAJ
author Yali Yang
Seokjae Chu
Hao Chen
spellingShingle Yali Yang
Seokjae Chu
Hao Chen
Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles
Applied Sciences
fatigue crack growth
surface crack
crack shape change
three-parameter model
author_facet Yali Yang
Seokjae Chu
Hao Chen
author_sort Yali Yang
title Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles
title_short Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles
title_full Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles
title_fullStr Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles
title_full_unstemmed Prediction of Shape Change for Fatigue Crack in a Round Bar Using Three-Parameter Growth Circles
title_sort prediction of shape change for fatigue crack in a round bar using three-parameter growth circles
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2019-04-01
description The conventional method for predicting the shape change of a surface crack in a round bar simply utilizes the Paris-Erdogan law with the least squares method using a certain shape assumption with excessive constraints. In this paper, a three-parameter model for a round bar subjected to tension is developed with fewer shape assumption restraints by employing a fatigue crack growth circles method. The equivalent stress intensity factor <inline-formula> <math display="inline"> <semantics> <mrow> <mo>&#916;</mo> <msub> <mi>K</mi> <mi>e</mi> </msub> </mrow> </semantics> </math> </inline-formula> based on both stress intensity factors along the current and new crack front is used to reduce the total number of increments. The results show that the proposed method has a good convergence speed and accurate prediction of crack shapes. The present method is validated by comparing the solution with other simulation solutions and experimental data.
topic fatigue crack growth
surface crack
crack shape change
three-parameter model
url https://www.mdpi.com/2076-3417/9/9/1751
work_keys_str_mv AT yaliyang predictionofshapechangeforfatiguecrackinaroundbarusingthreeparametergrowthcircles
AT seokjaechu predictionofshapechangeforfatiguecrackinaroundbarusingthreeparametergrowthcircles
AT haochen predictionofshapechangeforfatiguecrackinaroundbarusingthreeparametergrowthcircles
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