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

Qian Jun; Long Yu-qiu

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 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.

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.

PDF( 541 KB)

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

Qian Jun¹,
Long Yu-qiu²

1.
East China Institute of Technology, Nanjing;
2.
Qinghua University, Beijing

Received Date: 1990-10-02
Publish Date: 1992-04-15

Abstract

Abstract

In this paper, the eigenequation of notch in Reissner plate is derived by the eigenfunction method. Eigenvalues of different notches with different angles are calculated by Muller iteration method. The expression of stress and strain at the tip of notch in Reissner plate is obtained.
- Reissner plate,
- notch,
- fields of stress and strain

FullText(HTML)

References(8)

References

[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.