Finite element analysis of cracked bodies to determine stress intensity factors

Abstract 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.

[1]  J. S. Strannigan,et al.  Determination of energy release rates and stress-intensity factors by the finite-element method , 1972 .

[2]  J. Rice A path-independent integral and the approximate analysis of strain , 1968 .

[3]  V. B. Watwood The finite element method for prediction of crack behavior , 1970 .

[4]  M. Isida,et al.  Analysis of stress intensity factors for the tension of a centrally cracked strip with stiffened edges , 1973 .

[5]  G. Irwin ANALYSIS OF STRESS AND STRAINS NEAR THE END OF A CRACK TRAVERSING A PLATE , 1957 .

[6]  I. N. Sneddon The distribution of stress in the neighbourhood of a crack in an elastic solid , 1946, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  G. C. Sih,et al.  Applications of the finite element method to the calculations of stress intensity factors , 1973 .

[8]  A. A. Griffith The Phenomena of Rupture and Flow in Solids , 1921 .

[9]  Oles Lomacky,et al.  An Evaluation of Finite Element Methods for the Computation of Elastic Stress Intensity Factors , 1973 .

[10]  D. J. Hayes,et al.  A practical application of Buekner's formulation for determining stress intensity factors for cracked bodies , 1972 .

[11]  O. L. Bowie,et al.  A modified mapping-collocation technique for accurate calculation of stress intensity factors , 1970 .

[12]  C. Inglis Stresses in a plate due to the presence of cracks and sharp corners , 1913 .

[13]  A. Kobayashi,et al.  A Numerical Procedure for Estimating the Stress Intensity Factor of a Crack in a Finite Plate , 1964 .

[14]  I. N. Sneddon,et al.  Crack Problems in the Classical Theory of Elasticity , 1969 .

[15]  J. Newman An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries , 1971 .

[16]  S. Chan,et al.  On the Finite Element Method in Linear Fracture Mechanics , 1970 .