Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution

In this research, stress intensity factor of a small radial crack in a rotating thick cylinder made of viscoelastic materials subjected to internal pressure and radial temperature distribution is investigated. The radial crack is assumed to be located at the outer edge of the cylinder. The Zener mod...

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Main Authors: R. Nikpour, H. Mahbadi
Format: Article
Language:fas
Published: Sharif University of Technology 2021-05-01
Series:مهندسی مکانیک شریف
Subjects:
Online Access:https://sjme.journals.sharif.edu/article_22150_84e438a27cb1d5f7dec2526145f6ad5d.pdf
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author R. Nikpour
H. Mahbadi
author_facet R. Nikpour
H. Mahbadi
author_sort R. Nikpour
collection DOAJ
description In this research, stress intensity factor of a small radial crack in a rotating thick cylinder made of viscoelastic materials subjected to internal pressure and radial temperature distribution is investigated. The radial crack is assumed to be located at the outer edge of the cylinder. The Zener model (i.e., standard three parameter solid) is applied to simulate the viscoelastic behavior of the cylinder. To obtain the stress intensity factor of the viscoelastic cylinder, the problem of uncracked viscoelastic cylinder subjected to internal pressure and radial temperature distribution is analyzed with plane strain assumptions. Then, the hoop stress distribution is determined. Finally, by assuming the small crack length and applying the superposition method, the problem of cracked viscoelastic cylinder is replaced by the problem of cracked viscoelastic cylinder subjected to determined average stress in the previous step. By employing the proper geometry factor, the stress intensity factor of the viscoelastic cylinder is determined. A parameter study is performed to investigate the effects of various parameters on the stress intensity factor of the cylinder. To validate the results, the problem of viscoelastic cracked cylinder is simplified to an elastic cracked cylinder by neglecting the viscoelastic terms, and the data obtained in the present work are compared with those given in the literature search. The results show that the proposed method is quite capable of estimating the stress intensity factor of small cracks in structures made of viscoelastic materials. A parameter study is performed to investigate effect of various parameters on stress intensity factor of the cylinder. The parameter study shows that a) the stress intensity factor of the viscoelastic cylinder in early moments of loading is higher than its equivalent elastic cylinder, b) increasing the elastic properties of the viscoelastic material results in higher stress intensity factor, and increasing the viscous properties of the material decreases the stress intensity factor.
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spelling doaj.art-77456091a1754971bf12c7c34591f7062023-12-03T07:27:24ZfasSharif University of Technologyمهندسی مکانیک شریف2676-47252676-47332021-05-0137.31172610.24200/j40.2020.54689.153922150Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distributionR. Nikpour0H. Mahbadi1D‌e‌p‌t. o‌f M‌e‌c‌h‌a‌n‌i‌c‌a‌l E‌n‌g‌i‌n‌e‌e‌r‌i‌n‌g C‌e‌n‌t‌r‌a‌l T‌e‌h‌r‌a‌n B‌r‌a‌n‌c‌h, I‌s‌l‌a‌m‌i‌c A‌z‌a‌d U‌n‌i‌v‌e‌r‌s‌i‌t‌yD‌e‌p‌t. o‌f M‌e‌c‌h‌a‌n‌i‌c‌a‌l E‌n‌g‌i‌n‌e‌e‌r‌i‌n‌g C‌e‌n‌t‌r‌a‌l T‌e‌h‌r‌a‌n B‌r‌a‌n‌c‌h, I‌s‌l‌a‌m‌i‌c A‌z‌a‌d U‌n‌i‌v‌e‌r‌s‌i‌t‌In this research, stress intensity factor of a small radial crack in a rotating thick cylinder made of viscoelastic materials subjected to internal pressure and radial temperature distribution is investigated. The radial crack is assumed to be located at the outer edge of the cylinder. The Zener model (i.e., standard three parameter solid) is applied to simulate the viscoelastic behavior of the cylinder. To obtain the stress intensity factor of the viscoelastic cylinder, the problem of uncracked viscoelastic cylinder subjected to internal pressure and radial temperature distribution is analyzed with plane strain assumptions. Then, the hoop stress distribution is determined. Finally, by assuming the small crack length and applying the superposition method, the problem of cracked viscoelastic cylinder is replaced by the problem of cracked viscoelastic cylinder subjected to determined average stress in the previous step. By employing the proper geometry factor, the stress intensity factor of the viscoelastic cylinder is determined. A parameter study is performed to investigate the effects of various parameters on the stress intensity factor of the cylinder. To validate the results, the problem of viscoelastic cracked cylinder is simplified to an elastic cracked cylinder by neglecting the viscoelastic terms, and the data obtained in the present work are compared with those given in the literature search. The results show that the proposed method is quite capable of estimating the stress intensity factor of small cracks in structures made of viscoelastic materials. A parameter study is performed to investigate effect of various parameters on stress intensity factor of the cylinder. The parameter study shows that a) the stress intensity factor of the viscoelastic cylinder in early moments of loading is higher than its equivalent elastic cylinder, b) increasing the elastic properties of the viscoelastic material results in higher stress intensity factor, and increasing the viscous properties of the material decreases the stress intensity factor.https://sjme.journals.sharif.edu/article_22150_84e438a27cb1d5f7dec2526145f6ad5d.pdfstress intensity factorviscoelastic cylinderzener modelinternal pressurethermal distribution
spellingShingle R. Nikpour
H. Mahbadi
Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution
مهندسی مکانیک شریف
stress intensity factor
viscoelastic cylinder
zener model
internal pressure
thermal distribution
title Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution
title_full Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution
title_fullStr Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution
title_full_unstemmed Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution
title_short Stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution
title_sort stress intensity factor for a small radial crack located on external edge of a rotating viscoelastic cylinder subjected to internal pressure and temperature distribution
topic stress intensity factor
viscoelastic cylinder
zener model
internal pressure
thermal distribution
url https://sjme.journals.sharif.edu/article_22150_84e438a27cb1d5f7dec2526145f6ad5d.pdf
work_keys_str_mv AT rnikpour stressintensityfactorforasmallradialcracklocatedonexternaledgeofarotatingviscoelasticcylindersubjectedtointernalpressureandtemperaturedistribution
AT hmahbadi stressintensityfactorforasmallradialcracklocatedonexternaledgeofarotatingviscoelasticcylindersubjectedtointernalpressureandtemperaturedistribution