The singular integral equation method in the analysis of a crack perpendicular to the interface. The hypersingular integral equation method and the body force method.

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Other Title
  • 超越特異積分方程式法によるき裂の応力拡大係数の解析について　体積力法との比較と異材問題への応用
  • チョウエツ トクイ セキブン ホウテイシキホウ ニ ヨル キレツ ノ オウリョ
Published
1989
Resource Type
journal article
DOI
  • 10.1299/kikaia.55.2521
Publisher
The Japan Society of Mechanical Engineers

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Description

In this paper, the plane problem of two bonded elastic half planes containing a crack perpendicular to and going through the interface is considered. The problem is formulated as a system of singular integral equations by using the stress field induced by "the displacement discontinuity". In solving the equations, the hypersingular integral equation method (HIEM) and the body force method (BFM) are compared. The calculation shows that the HIEM, in which the unknown function is approximated by the product of the weight function and chebychev polynominals, gives rapidly converging numerical results in this analysis.

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