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Reissner板切口尖端应力应变场

钱俊 龙驭球

钱俊, 龙驭球. Reissner板切口尖端应力应变场[J]. 应用数学和力学, 1992, 13(4): 297-306.
引用本文: 钱俊, 龙驭球. Reissner板切口尖端应力应变场[J]. 应用数学和力学, 1992, 13(4): 297-306.
Qian Jun, Long Yu-qiu. The Expression of Stress and Strain at the Tip of Notch in Reissner Plate[J]. Applied Mathematics and Mechanics, 1992, 13(4): 297-306.
Citation: Qian Jun, Long Yu-qiu. The Expression of Stress and Strain at the Tip of Notch in Reissner Plate[J]. Applied Mathematics and Mechanics, 1992, 13(4): 297-306.

Reissner板切口尖端应力应变场

The Expression of Stress and Strain at the Tip of Notch in Reissner Plate

  • 摘要: 本文利用双重幂级数展开法推导出Reissner板切口特征方程,进而应用Muller迭代法求得不同切口张角下特征值序列解答,最后获得Reissner板切口尖端应力应变场.
  • [1] Williams,M.L.,Stress singularities resulting from various boundary conditions in angular corners of plates in extension,J.Appl.Mech.,14(1952),526-528.
    [2] Bogy,D.B.,Two edge-bonded elastic wedges Of different materials and wedge angles under surface tractions,J.Appl.Mech.,38(1971),377-386.
    [3] Ting,T,C.and Jin Yi-jian,Eigen-functions at a singular point in transversely isotropic materials under axisymmetric deformations,d.Appl.Mech.,52(1985),565-570.
    [4] Somaratna,Nihai and T.C.T.Ting,Three-dimensional stress singularities at conical notches and inclusions in transversely isotropic materials,J.dppl.Mech.,53(1986),89-96.
    [5] Williams,M.L.,Surface stress singularities resulting from various boundary conditions in angular corners of plates under bending,J.AppL Mech.,28(1961),325-328.
    [6] Sih,G.C.,P.C.Paris and F.Erdogan,Crack tip stress intensity factors for plane extension and plate bending problems,J.Appl.Mech.,29(1962),306-312.
    [7] Knowles,J.K.and N.M.Wang,On the bending of an elastic plate containing a crack,J.of Math.and Phy.,39(1960),223-236.
    [8] 柳春图,承受弯曲的板在裂纹顶端附近的应力和变形,固体力学学报,(3)(1983),441-447.
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出版历程
  • 收稿日期:  1990-10-02
  • 刊出日期:  1992-04-15

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