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Singularity analysis for 2D and 3D thermoelastic media containing V-notches

机译:包含V型缺口的2D和3D热弹性介质的奇异性分析

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摘要

The stress field and heat flux singularities at the vertex of two-dimensional (2D) and three-dimensional (3D) V-notches are, respectively, investigated. By introducing typical terms in the series asymptotic expansions of displacement and temperature fields near the notch tip, the thermoelastic governing equations and radial boundary conditions of a V-notched structure are transformed into characteristic ordinary differential equations with respect to the singular order. These equations can be solved by the interpolating matrix method developed earlier by part of the authors. The singular orders related to the stress field and heat flux can be derived simultaneously and can be specified by the corresponding characteristic angular functions in the present method. The singularities are compared between 2D and 3D thermoelastic specimen containing V-notches. It is found that one singular order will be discarded if a 3D medium is simplified into a 2D one.
机译:分别研究了二维(2D)和三维(3D)V形凹槽顶点处的应力场和热通量奇异性。通过在缺口尖端附近的位移和温度场的系列渐近展开中引入典型项,将V形缺口结构的热弹性控制方程和径向边界条件转换为关于奇数阶的典型常微分方程。这些方程可以通过部分作者先前开发的插值矩阵方法求解。可以同时导出与应力场和热通量有关的奇数阶,并且可以由本方法中的相应特征角函数指定。比较包含V形缺口的2D和3D热弹性试样的奇异性。已经发现,如果将3D介质简化为2D介质,则将丢弃一个奇数阶。

著录项

  • 来源
    《Journal of thermal stresses》 |2016年第12期|1356-1366|共11页
  • 作者单位

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Anhui, Peoples R China;

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Anhui, Peoples R China;

    Hefei Univ Technol, Sch Civil & Hydraul Engn, Hefei 230009, Anhui, Peoples R China;

    EPF Ecole Ingn, Equipe Rech Mecan & Secur Struct ERMESS, Sceaux, France|Univ Clermont Ferrand, Blaise Pascal Inst, Clermont Ferrand, France;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Characteristic angular function; singular order; thermoelastic; V-notch;

    机译:特征角函数;奇异阶;热弹性;V型缺口;

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