A method for the computation of the stress intensity and associated geometrical correction factors by use of the finite element analysis is presented. The lack of ability to represent crack tip stress conditions has been the shortcoming of the conventinal techniques in finite-element solutions of problems of cracked bodies. The proposed method provides the representation of crack tip stress conditions with elliptic displacement functions which lead to the direct computation of stress intensity factors. The method is applied to several crack configurations with relatively coarse finite-element networks and the accuracy is found to be satisfactory when compared with results of previous workers.
ParisP. C.SihG.‘Stress analysis of cracks’, A.S.T.M. Special Technical Publication1965381, 30–83, Philadelphia, Pa.
3.
MuskhelishviliN. J.‘Some Basic Problems of the Mathematical Theory of Elasticity’, 1963, Noordhoff, Holland.
4.
KobayashiA. S.CheropyR. D.KinselW. C.‘A numerical procedure for estimating the stress intensity factor of a crack in a finite plate’, J. bas Engngs, Trans. Am. Soc. Mech. Engrs. 1964, 86, 681–684.
5.
BowieO. L.NealD. M.‘A modified mapping collocation technique for accurate calculation of stress intensity factors’, Int. J. Fracture Mech.19706, 199–206.
6.
NewmanJ. C.Jr.. ‘An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries’, NASA TND-6376, 1971.
7.
ZienkiewiczO. C.‘The finite element method in Engineering Science’, 1971 McGraw-Hill, London.
8.
SwedlowJ. L.WilliamsM. L.YangW. H.‘Elasto-plastic stresses and strains in a cracked plate’, Proc. 1st. Int. Conference in fracture1966, 1, 259–282.
9.
ChanS. K.TubaI. S.WilsonW. K.‘On the finite element method in fracture mechanics’, Engng. Fracture Mech.19702, 1–17.
10.
KobayashiA. S.MaidenD. E.SimonB. J.IsidaS.‘Application of finite element analysis method to two-dimensional problems in fracture mechanics’, A.S.M.E. paper No. 69-WA/PVP-12, 1969.
11.
OgleskyJ. J.LomackyO.‘An evaluation of finite element methods for the computation of elastic stress intensity factors’, NSRDS Report No. 3751, 1972.
12.
HiltonP. D.SihG. C.‘Application of the finite element method to the calculation of stress intensity factors’, Methods of analysis and solution of crack problems, 1973, Noordhoff Int. Publishing, Holland.
13.
DixonJ. R.StranniganJ. S.‘Determination of energy release rates and stress intensity factors by the finite element method’, J. Strain Analysis19727, 125–131.
14.
HayesD. J.‘A practical application of Bueckner's formulation for determining stress intensity factors for cracked bodies’, Int. J Fracture Mech.19728, 157–165.
15.
WatwoodV. B.‘The finite element method for prediction of crack behaviour’, Nu. Engng. Design196911, 323–332.
16.
RiceJ. R.‘A path independent integral and the approximate analysis of strain concentration by notches and cracks’, J. App. Mech. Trans. Am Soc. Mech. Engrs. 1968, 35, 379–386.
17.
WestergaardH. M.‘Bearing pressure and cracks’, J. Appl. Mech. Trans. Am. Soc. Mech. Engrs. 1939, 6, A49–53.
18.
SneddonI. N.‘The distribution of stress in the neighbourhood of a crack in an elastic solid’, Proc. Roy. Soc. A. 1949, 187, 229–260.
19.
GriffithA. A.‘The phenomena of rupture and flow in solids’, Phil. Trans. A.1921221, 163–198.
20.
InglisC. E.‘Stresses in a plate due to the presence of cracks and sharp corners’, Trans. Instn. Naval Arch.191355, 219.
21.
IrwinG. R.‘Analysis of stresses and strains near the end of a crack traversing a plate’, J. App. Mech., Trans. Am. Soc. Mech. Engrs. 1957, 24, 361–364.
22.
SneddonI. N.LowengrubM.‘Crack problems in the classical theory of elasticity’, 1970, John Wiley & Son, Inc., New York.
23.
IsidaM.‘Analysis of stress intensity factors for the tension of a centrally cracked strip with stiffened edges’, Engrg. Fracture Mech.19735, 647–665.
