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首页> 外文期刊>Engineering Fracture Mechanics >Analytical stress intensity factor solutions for resistance and friction stir spot welds in lap-shear specimens of different materials and thicknesses
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Analytical stress intensity factor solutions for resistance and friction stir spot welds in lap-shear specimens of different materials and thicknesses

机译：不同材料和厚度的搭接剪切试样中电阻和搅拌摩擦点焊的分析应力强度因子解

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摘要

In this paper, analytical stress intensity factor and J integral solutions for resistance and friction stir spot welds without and with gap and bend in lap-shear specimens of different materials and thicknesses are developed. The J integral and stress intensity factor solutions for spot welds are first presented in terms of the structural stresses for a strip model. Analytical structural stress solutions for spot welds without and with gap and bend in lapshear specimens are then developed based on the closed-form structural stress solutions for a rigid inclusion in a finite thin plate subjected to various loading conditions. With the available structural stress solutions, the analytical J integral and stress intensity factor solutions can be obtained as functions of the applied load, the elastic material property parameters, and the geometric parameters of the weld and specimen. The analytical stress intensity factor solutions are selectively validated by the results of three-dimensional finite element analyses for a spot weld with ideal geometry and for a friction stir spot weld with complex geometry, gap and bend. The stress intensity factor and J integral solutions at the critical locations of spot welds in lap-shear specimens of dissimilar magnesium, aluminum and steel sheets with equal and different thicknesses are then presented in the normalized forms as functions of the ratio of the specimen width to the weld diameter. Finally, general trends and simple estimation methods of the stress intensity factor and J integral solutions at the critical locations of spot welds in lap-shear specimens of different materials and thicknesses are given for convenient engineering applications.
机译：本文研究了不同材料和厚度的搭接剪切试样中不带间隙和弯曲的电阻和摩擦搅拌点焊的分析应力强度因子和J积分解。首先根据带状模型的结构应力介绍点焊的J积分和应力强度因子解。然后，基于封闭形式的结构应力解决方案，开发了在剪切载荷试样中不带有间隙和弯曲的点焊的分析结构应力解决方案，该结构应力解决方案适用于承受各种载荷条件的有限薄板中的刚性夹杂物。利用可用的结构应力解，可以获得解析的J积分和应力强度因子解，它们是所施加载荷，弹性材料属性参数以及焊缝和试样几何参数的函数。通过对具有理想几何形状的点焊和具有复杂几何形状，间隙和弯曲的搅拌摩擦点焊的三维有限元分析结果，选择性地验证了分析应力强度因子解。然后，以归一化形式表示不同厚度，相同和不同厚度的异种镁，铝和钢板的搭接剪切试样中点焊关键部位的应力强度因子和J积分解，作为试样宽度与厚度之比的函数。焊缝直径。最后，给出了不同材料和厚度的搭接剪切试样中点焊关键部位的应力强度因子和J积分解的一般趋势和简单的估算方法，以方便工程应用。

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