承受双向等拉应力平面贯穿型中心切口弹性应力集中系数的尺寸效应分析

详细信息

Analysis of the Size Effects on the Elastic Stress Concentration Factors at the Top of the Penetrating Notch in the Center of the Double-tension-plate

摘要: 采用线弹性有限元方法系统分析了350种不同尺寸条件下承受双向等拉应力平面贯穿型中心切口端部应力场,建立了垂直于切口长度方向的正应力分量K_t^σ_y、应力第一不变量集中系数K_t^I₁和Mises等效应力集中系数K_t^σ等各项弹性应力集中系数的表达式。结果表明,各项弹性应力集中系数随切口长度与板宽之比2a/W的增大呈二次幂函数形式增大,随切口顶端半径与切口半宽之比r/a的降低呈指数函数形式增大。
- 双向等拉应力 /
- 平面贯穿型中心切口 /
- 弹性应力集中系数 /
- 尺寸效应
Abstract: The stress fields at the top of the penetrating notch in the center of the double-tension-plate are analyzed with 350 sets of sizes by elastic finite element method. The functions of the normal stress concentration factor normal to the length-direction K_t^σ_y, the first stress invariant concentration factor K_t^I₁ and the Mises equivalent stress concentration factor i>K_t^σ are built. The results indicate that all the elastic stress concentration factors increase with the increase of the ratio 2a/W of the length to the width of the notch as the parabolic function, and reduce exponentially with the decrease of the ratio r/a of the radius to half of the width of the notch.
- double-tension-plat /
- penetrating notch /
- elastic stress concentration factor /
- size effect

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