Three-dimensional thermal weight function method for the interface crack problems in bimaterial structures under a transient thermal loading

Different from previous two-dimensional thermal weight function (TWF) method, a three-dimensional (3D) TWF method is proposed for solving elliptical interface crack problems in bimaterial structures under a transient thermal loading. The present 3D TWF method based on the Betti's reciprocal the...

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Published inJournal of thermal stresses Vol. 39; no. 4; pp. 371 - 385
Main Authors Wu, Huaping, Li, Long, Chai, Guozhong, Song, Fan, Kitamura, Takayuki
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.04.2016
Taylor & Francis Ltd
Subjects
3D thermal weight function method
Bimaterial structures
Cracks
Finite element method
interface crack
Load
Mathematical analysis
Mathematical models
Reciprocal theorems
Shear stress
stress intensity factor (SIF)
Stress intensity factors
Thermography
Three dimensional
transient thermal loading
Two dimensional
Weight function
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Abstract Different from previous two-dimensional thermal weight function (TWF) method, a three-dimensional (3D) TWF method is proposed for solving elliptical interface crack problems in bimaterial structures under a transient thermal loading. The present 3D TWF method based on the Betti's reciprocal theorem is a powerful tool for dealing with the transient thermal loading due to the stress intensity factors (SIFs) of whole transient process obtained through the static finite element computation. Several representative examples demonstrate that the 3D TWF method can be used to predict the SIFs of elliptical interface crack subjected to transient thermal loading with high accuracy. Moreover, numerical results indicate that the computing efficiency can be enhanced when dealing with transient problems, especially for large amount of time instants.
AbstractList Different from previous two-dimensional thermal weight function (TWF) method, a three-dimensional (3D) TWF method is proposed for solving elliptical interface crack problems in bimaterial structures under a transient thermal loading. The present 3D TWF method based on the Betti's reciprocal theorem is a powerful tool for dealing with the transient thermal loading due to the stress intensity factors (SIFs) of whole transient process obtained through the static finite element computation. Several representative examples demonstrate that the 3D TWF method can be used to predict the SIFs of elliptical interface crack subjected to transient thermal loading with high accuracy. Moreover, numerical results indicate that the computing efficiency can be enhanced when dealing with transient problems, especially for large amount of time instants.
Author Wu, Huaping
Li, Long
Song, Fan
Chai, Guozhong
Kitamura, Takayuki
Author_xml – sequence: 1
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  fullname: Wu, Huaping
  organization: Department of Mechanical Engineering and Science, Kyoto University
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  fullname: Li, Long
  organization: State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences
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  givenname: Guozhong
  surname: Chai
  fullname: Chai, Guozhong
  email: chaigz@zjut.edu.cn
  organization: Key Laboratory of E&M, Ministry of Education & Zhejiang Province, Zhejiang University of Technology
– sequence: 4
  givenname: Fan
  surname: Song
  fullname: Song, Fan
  organization: State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences
– sequence: 5
  givenname: Takayuki
  surname: Kitamura
  fullname: Kitamura, Takayuki
  organization: Department of Mechanical Engineering and Science, Kyoto University
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Snippet Different from previous two-dimensional thermal weight function (TWF) method, a three-dimensional (3D) TWF method is proposed for solving elliptical interface...
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SubjectTerms 3D thermal weight function method
Bimaterial structures
Cracks
Finite element method
interface crack
Load
Mathematical analysis
Mathematical models
Reciprocal theorems
Shear stress
stress intensity factor (SIF)
Stress intensity factors
Thermography
Three dimensional
transient thermal loading
Two dimensional
Weight function
Title Three-dimensional thermal weight function method for the interface crack problems in bimaterial structures under a transient thermal loading
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