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An analytical model for collinear cracks in functionally graded materials with general mechanical properties.

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Title: An analytical model for collinear cracks in functionally graded materials with general mechanical properties.
Authors: Pan, Haizhu1,2 pan_haizhu@163.com, Song, Tianshu1, Wang, Zhihai3 wangzhihai@126.com
Source: Composite Structures. Nov2015, Vol. 132, p359-371. 13p.
Subjects: Surface cracks, Functionally gradient materials, Stress intensity factors (Fracture mechanics), Geometric analysis, Numerical analysis
Abstract: The crack problems of functionally graded materials (FGMs) with general mechanical properties are usually to solve analytically. In this paper, an analytical model for collinear cracks in FGMs with arbitrary mechanical properties is developed. In the model, the general mechanical properties of the FGM are approached by dividing it into some layers with continuous properties along the gradient direction. The problem is finally reduced to a group of singular integral equations which are solved by numerical method. The interaction between the collinear cracks is discussed. The influences of the nonhomogeneity constants and geometric parameters on the stress intensity factors (SIFs) are analyzed. Some important conclusions are drawn. [ABSTRACT FROM AUTHOR]
Copyright of Composite Structures is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 109106256
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: An analytical model for collinear cracks in functionally graded materials with general mechanical properties.
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  Data: <searchLink fieldCode="AR" term="%22Pan%2C+Haizhu%22">Pan, Haizhu</searchLink><relatesTo>1,2</relatesTo><i> pan_haizhu@163.com</i><br /><searchLink fieldCode="AR" term="%22Song%2C+Tianshu%22">Song, Tianshu</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wang%2C+Zhihai%22">Wang, Zhihai</searchLink><relatesTo>3</relatesTo><i> wangzhihai@126.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Composite+Structures%22">Composite Structures</searchLink>. Nov2015, Vol. 132, p359-371. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Surface+cracks%22">Surface cracks</searchLink><br /><searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink><br /><searchLink fieldCode="DE" term="%22Stress+intensity+factors+%28Fracture+mechanics%29%22">Stress intensity factors (Fracture mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+analysis%22">Geometric analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The crack problems of functionally graded materials (FGMs) with general mechanical properties are usually to solve analytically. In this paper, an analytical model for collinear cracks in FGMs with arbitrary mechanical properties is developed. In the model, the general mechanical properties of the FGM are approached by dividing it into some layers with continuous properties along the gradient direction. The problem is finally reduced to a group of singular integral equations which are solved by numerical method. The interaction between the collinear cracks is discussed. The influences of the nonhomogeneity constants and geometric parameters on the stress intensity factors (SIFs) are analyzed. Some important conclusions are drawn. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Composite Structures is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.compstruct.2015.05.055
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 359
    Subjects:
      – SubjectFull: Surface cracks
        Type: general
      – SubjectFull: Functionally gradient materials
        Type: general
      – SubjectFull: Stress intensity factors (Fracture mechanics)
        Type: general
      – SubjectFull: Geometric analysis
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      – SubjectFull: Numerical analysis
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      – TitleFull: An analytical model for collinear cracks in functionally graded materials with general mechanical properties.
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            NameFull: Pan, Haizhu
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            NameFull: Song, Tianshu
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              Text: Nov2015
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              Y: 2015
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              Value: 132
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