Tension of a Semi-infinite Plate Containing a Row of Elliptical and Circular-Arc Notches.

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  • 任意個の半だ円および円弧形切欠きを持つ半無限板の引張り
  • ニンイコ ノ ハン ダエン オヨビ エンコケイ キリカキ オ モツ ム ハン

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This paper deals with a row of equally spaced equal elliptical and circular-arc notches in a semi-infinite plate subjected to tension. Based on the concepts of the body force method, the problems are formulated as a system of singular integral equations with Cauchy-type singularity, where the densities of body forces distributed in the x-and y-directions of semi-infinite plate are unknown functions. In order to satisfy the boundary conditions along the notches, eight kinds of fundamental density functions proposed in our previous paper are used. Then the body force densities are approximated by a linear combination of the fundamental density functions and polynomials. In the analysis, the shape and position of notches are varied systematically; then, the magnitude and position of the maximum stress are examined. For any fixed shape and size of notches, the maximum stress is shown to be linear with the reciprocal of the number of notches.

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