有限板における貫通き裂の不連続変位分布に基づく応力分布および応力拡大係数の評価法

概要

論文の詳細を見る
Analytical expressions for the stress distribution along a through crack under mixed-mode (Mode l and II) deformation in a finite plate are developed, based on the complex-valued formulas on the stress and displacement of a two-dimensional crack in an infinite plate. Using these formulas analytically extended to the finite plate problem, the stress intensity factor K_I and K_<II> for Mode I and II can be determined from crack opening and sliding displacements along the crack, respectively. The expressions show that the geometry effects of the finite plate such as finite-width and length are directly reflected in the displacements along the crack. To demonstrate the present method validity, for an example case, Mode I crack opening displacements are calculated from FEM analysis of center cracked finite plates with fine mesh around the crack tip and used to evaluate the stress intensity factor K_I. The evaluated values K_I obtained from the present method are in good agreement with those obtained from conventional methods such as Isida's theoretical solution, Tada's empirical equation, a displacement extrapolation method and a method through the J-integral.
社団法人日本機械学会の論文
2003-02-25