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Open AccessArticle10.1299/kikaia.50.471

On Relation between Contour Integral and Virtual Crack Extension Method of J- and J^^<SUP>-</SUP>Integral

Takayuki Watanabe,Noriyuki MIYAZAKI,Genki YAGAWA-1984-01-01-TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
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TL;DRAbstract

In this paper, the methods for evaluating the nonlinear fracture mechanics parameters J-and J^--integral are discussed in the framework of the virtual crack extension method. The equation for the virtual crack extension method was derived to evaluate the J-integral from the viewpoint different from the original method proposed by Parks or Hellen. Moreover, the equation for evaluating the J^--integral was derived using the same procedure as in the J-integral. The relation between the contour integral and virtual crack extension method is also discussed. Several numerical examples are presented to verify the validity of the equations derived in this paper.

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In this paper, the methods for evaluating the nonlinear fracture mechanics parameters J-and J^--integral are discussed in the framework of the virtual crack extension method. The equation for the virtual crack extension method was derived to evaluate the J-integral from the viewpoint different from the original method proposed by Parks or Hellen. Moreover, the equation for evaluating the J^--integral was derived using the same procedure as in the J-integral. The relation between the contour integral and virtual crack extension method is also discussed. Several numerical examples are presented to verify the validity of the equations derived in this paper.

Keywords

Extension (predicate logic)J integralIntegral equationRelation (database)MathematicsMathematical analysisExtension methodNonlinear system

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