Wang Yuan-han, Li Chun-zhi. The Solution of a Crack Emanating from an Arbitrary Hole by Boundary Collocation Method[J]. Applied Mathematics and Mechanics, 1990, 11(7): 625-634.
 Citation: Wang Yuan-han, Li Chun-zhi. The Solution of a Crack Emanating from an Arbitrary Hole by Boundary Collocation Method[J]. Applied Mathematics and Mechanics, 1990, 11(7): 625-634.

# The Solution of a Crack Emanating from an Arbitrary Hole by Boundary Collocation Method

• Publish Date: 1990-07-15
• In this paper a group of stress functions has been proposed for the calculation of a crack emanating from a hole with different shape(including circular,elliptical,rectangular,or rhombic hole) by boundary collocation method.The calculation results show that they coincide very well with the existing solutions by other methods for a circular or elliptical hole with a crack in an infinite plate.At the smae time,a series of results for different holes in a finite plate has also been obtained in this paper.The proposed functions and calculation procedure can be used for a plate of a crack emanating from an arbitrary hole.
•  [1] Bowie,O.L.,Analysis of an infinite plate containing radial cracks originating at the boundary of an infinite circular hole,Journal of Mathematics and Physics,35(1956),60-71. [2] Tweed J.and D.P.Rooke,The distribution of stress near the tip of a radial crack at the edge of a circular hole,International Journal of Engineering Science,11(1973),1185-1195. [3] Rubinstein A.A.and A.M.Sadegh,Analysis of a crack emanating from a circular hole in a loaded plate,International Journal of Fracture,32(1986),47-57. [4] Gross,B.,J.E.Srawley and W.F.Brown,Stress intensity factor for a single-edge notch tension specimen by boundary collocation method,NASA TN D-2395(1965). [5] Gross,B.and J.E.Srawley,Stress intensity factors for single-edge-notch specimens in bending or combined bending and tension,NASA TN D-2603(1965). [6] Gross,B.and J.E.Srawley,Stress intensity factors for three point bend specimens by boundary collocation,NASA TN D-3092(1965). [7] Kobayashi,A.S.,R.B.Cherepy and W.C.Kinsel,A numerical procedure for estimating the stress intensity factor of a crack in a finite plate,Journal of Basic Engineering,86(1964),681-684. [8] Wilson,W.K.,Numerical method for determining stress intensity factors of an interior crack in a finite plate,ASME Journal of Basic Engineering.93(1971),685-690. [9] Newman,J.C.,An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries,NASA TN D-6376(1971). [10] Muskhelishvili,N.I.,Some Basic Problems of Mathematical Theory of Elasticity,second English ed.,Noordhoff(1975). [11] Kanninen,M.F.,and C.H.Popelar,Advanced Fracture Mechanics,Oxford(1985). [12] Rooke,D.P.and D.J.Cartwright,Compendium of Stress Intensity Factors,HMSO(1976). [13] Berezhnitskii,L.T.,Propagation of cracks terminating at the edge of a curvilinear hole in a plate.Sovict Materials Science,2(1966),16-23. [14] Tada,H.,P.C.Paris and G.R.Irwin,The Stress Analysis of Cracks Handbook,Del Research Corporation,Pennsylvania(1973).

### 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