表面形貌对应力集中系数的影响研究

Effect of Surface Topography on Stress Concentration Factor

  • 摘要: 基于线弹性力学计算了机加工试样表面各点的应力分布,提出了等效应力集中系数的概念,该参量可以反映机加工表面的总体应力集中水平.采用谐波叠加的方式模拟表面形貌,提出了表面形貌有限元建模的新方法.分析了粗糙度的各表征参数对有效应力集中系数的影响.结果表明表面形貌各粗糙度表征参数对有效应力集中系数均具有明显的影响,各粗糙度表征参数与有效应力集中系数之间具有二次曲线拟合关系式.

     

    Abstract: Machined surface topography was regarded as a stationary stochastic process, and the true surface topography was simulated by superposing series of cosine components by means of spectrum analysis. A new method was proposed to build a finite element model of surface topography. Based on linear elastic mechanics, the stress distribution induced by machined surface topography was investigated. And a concept of effective stress concentration factor was presented to reflect the total degree of stress concentration of machined surface topography. Moreover, the effect of each roughness parameter on effective stress concentration factor was analyzed. The results show that each roughness parameter of surface topography has an obvious effect on the effective stress concentration factor and there is a relation between the effective stress concentration factor and the various surface roughness parameters, which can be described with approximate quadratic equations.

     

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