Cai Zeng-shen. Discussion on the SIF for Points on Border of Elliptical Flat Crack inside Infinite Solid under Uniform Tension[J]. Applied Mathematics and Mechanics, 1982, 3(4): 477-482.
 Citation: Cai Zeng-shen. Discussion on the SIF for Points on Border of Elliptical Flat Crack inside Infinite Solid under Uniform Tension[J]. Applied Mathematics and Mechanics, 1982, 3(4): 477-482.

# Discussion on the SIF for Points on Border of Elliptical Flat Crack inside Infinite Solid under Uniform Tension

• Publish Date: 1982-08-15
• Using the results of crack surface displacement field in Green-Sneddon's solution[1] and coordinate transformation, this paper has derived an expression K1(x1,z1,a) for SIF at any point and at any orientation on the border of elliptical flat crack inside infinite solid under uniform tension. As a complement of Irwin's work[3], it is shown that for any pointed point on the elliptical border the SIF defined on normal plane takes the maximum value. And it should be pointed out that in some works some idea concerning Irvin's contents is open to question. An expression K1 in terms of polar angle which is more intuitional than centrifugal angle is proposed for SIF at any point on the elliptical border.
•  [1] Green,A.E.,Sneddon.I.N,,The stress distrib utioa in the neighborhood of a flat elliptic crack in an elastic solid,Proc,Camb.Phil.Soc,,46(1950).159. [2] 陈跪等编著,《工程断裂力学》(上册)国防工业出版社,(1977).28-29. [3] Irwin,G,R Crack-estettsion force for a part-through crack in a plate,,J,Appl,Mech,,29,4,Dec,(1962),65I-654. [4] 通用机械研究所等编,《压力容器国外技术进展》(上册),通用机械研究所出版,(1974) 196-199. [5] 老亮,椭圆裂纹K1式中常见的一些错误,上海力学,2.2,(1981).58-59. [6] Broek,D.Elementarg Engineering Fracture Mechanics,Sijthoff & Noordhoff,(1978).2nd.Ed,81.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142