Analysis of Variations of Stress Intensity Factors of a Rectangular Crack Subjected to Shear Loading. Relationship between KIImax, KIIImax and .RAD.area.

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  • 特異積分方程式法によるせん断応力を受ける長方形き裂のモードＩＩ，モードＩＩＩ応力拡大係数の分布の解析　　三次元き裂のＫＩＩｍａｘ，ＫＩＩＩｍａｘと√￣ａ￣ｒ￣ｅ￣ａの関係について
  • トクイ セキブン ホウテイ シキホウ ニ ヨル センダン オウリョク オ ウケル チョウホウケイ キレツ ノ モード 2 モード 3 オウリョク カクダイ ケイスウ ノ ブンプ ノ カイセキ 3ジゲン キレツ ノ K2max K3max ト area ノ カンケイ ニ ツイテ

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Abstract

In this paper, a singular integral equation method is applied to calculate the stress intensity factor along crack front of a 3D rectangular crack in an infinite body under mixed mode loading. The body force method is used to formulate the problem as a system of singular integral equations with singularities of the form r-3 using the stress field induced by a force doublet in an infinite body as fundamental solution. In the numerical calculation, unknown body force densities are approximated by using fundamental density functions and polynomials. The present method yields rapidly converging numerical results for various aspect ratios of a rectangular crack. Distributions of stress intensity factors are indicated in tables and figures with varying the shape and Poisson's ratio. The maximum stress intensity factors KIImax and KIIImax are found to be controlled by the √area parameter in a similar way of the case of KImax.

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