Elastic-plastic analysis of surface cracks in round bars under bending moments

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1 Citation (Scopus)

Abstract

Round solid cylindrical-shaped bars have great important applications in power transmission and cracks normally occur on the surface due to several factors such as corrosions and material defects. Therefore, the failure predictions on the cracked components are a major safety issue. In this work, an elastic-plastic finite element analysis is conducted to investigate the failure behaviour of cracked round bars under bending moments. Different crack aspect ratio, a/b and relative crack depth, a/D are selected ranging between 0.6 to 1.2 and 0.1 to 0.3 respectively. Two strain hardening exponents, n are used, 5 and 10 in order to simulate higher and lower hardening behaviour of the material. The stress/strain material curves are assumed to follow the Ramberg-Osgood relation. During the loading, the J-integral are calculated for several points along the crack fronts, x/h. Then, the limit load of the components are computed according to the reference stress method and it is strongly depend on the a/b, a/D, x/h and n. Subsequently, the developed limit load is validated for its capability to predict the J-integral along the crack fronts. According to the results, the present limit load capable to predict the J-integral under bending moment. However, the predictions are limited within certain crack geometries.

Original languageEnglish
Pages (from-to)602-606
Number of pages5
JournalInternational Review of Mechanical Engineering
Volume6
Issue number3
Publication statusPublished - 2012

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Bending moments
Plastics
Cracks
Load limits
Power transmission
Strain hardening
Hardening
Aspect ratio
Corrosion
Finite element method
Defects
Geometry

Keywords

  • J-integral
  • Limit load
  • Reference stress approach
  • Surface crack

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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abstract = "Round solid cylindrical-shaped bars have great important applications in power transmission and cracks normally occur on the surface due to several factors such as corrosions and material defects. Therefore, the failure predictions on the cracked components are a major safety issue. In this work, an elastic-plastic finite element analysis is conducted to investigate the failure behaviour of cracked round bars under bending moments. Different crack aspect ratio, a/b and relative crack depth, a/D are selected ranging between 0.6 to 1.2 and 0.1 to 0.3 respectively. Two strain hardening exponents, n are used, 5 and 10 in order to simulate higher and lower hardening behaviour of the material. The stress/strain material curves are assumed to follow the Ramberg-Osgood relation. During the loading, the J-integral are calculated for several points along the crack fronts, x/h. Then, the limit load of the components are computed according to the reference stress method and it is strongly depend on the a/b, a/D, x/h and n. Subsequently, the developed limit load is validated for its capability to predict the J-integral along the crack fronts. According to the results, the present limit load capable to predict the J-integral under bending moment. However, the predictions are limited within certain crack geometries.",
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AB - Round solid cylindrical-shaped bars have great important applications in power transmission and cracks normally occur on the surface due to several factors such as corrosions and material defects. Therefore, the failure predictions on the cracked components are a major safety issue. In this work, an elastic-plastic finite element analysis is conducted to investigate the failure behaviour of cracked round bars under bending moments. Different crack aspect ratio, a/b and relative crack depth, a/D are selected ranging between 0.6 to 1.2 and 0.1 to 0.3 respectively. Two strain hardening exponents, n are used, 5 and 10 in order to simulate higher and lower hardening behaviour of the material. The stress/strain material curves are assumed to follow the Ramberg-Osgood relation. During the loading, the J-integral are calculated for several points along the crack fronts, x/h. Then, the limit load of the components are computed according to the reference stress method and it is strongly depend on the a/b, a/D, x/h and n. Subsequently, the developed limit load is validated for its capability to predict the J-integral along the crack fronts. According to the results, the present limit load capable to predict the J-integral under bending moment. However, the predictions are limited within certain crack geometries.

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