拉伸正交各向异性有限宽板偏心圆孔的应力集中系数表达式

EXPRESSIONS OF STRESS CONCENTRATION FACTORS FOR AN ECCENTRIC CIRCULAR HOLE IN A TENSION ORTHOTROPIC FINITE-WIDTH STRIP

  • 摘要: 用近似解析方法推导出拉伸正交各向异性有限宽板偏心圆孔的应力集中系数的显式表达式,除了比较极端的情况外,该式的精度较好。误差估计基于与有限元分析结果的比较。当偏心度取为零,即变为有限宽板中心圆孔时,此简化情况下的应力集中系数表达式与文献值和有限元解吻合得很好。推导的方法虽然简单,但结果比较理想。利用所推导的表达式可以求解各向异性材料的应力集中系数问题。

     

    Abstract: Using an approximate analytical method, the explicit expression of stress concentration factors is derived for an eccentric circular hole in a tension orthotropic finite-width strip. The accuracy of the expression is adequate except some extreme situations. The error estimate is based on a comparison with the results from finite element analysis. When the eccentricity is taken as zero, i.e. for the simplified case of a center circular hole in a tension orthotropic finite-width strip, the deduced expression has good accuracy, as demonstrated by agreement with values from the references and finite element analysis. It is shown that the formulation method and the derived expressions can be used to solve difficult problems of stress concentration factors for anisotropic materials, although they are quite simple.

     

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