A finite-element–alternating technique for evaluating mixed mode stress intensity factors for part-elliptical surface flaws

An alternating method, in conjunction with the finite element method and an analytical solution for an elliptical flaw in an infinite solid, is used to determine the mixed mode stress intensity factors for surface flaws. This finite element alternating method leads to an inexpensive procedure for routine evaluation of accurate stress intensity factors in complex structural components containing surface flaws and subject to mixed-mode loading. A variety of numerical examples is presented.

[1]  L. Kantorovich,et al.  Approximate methods of higher analysis , 1960 .

[2]  J. Newman,et al.  Stress-intensity factor equations for cracks in three-dimensional finite bodies subjected to tension and bending loads , 1984 .

[3]  Satya N. Atluri,et al.  Analytical solution for embedded elliptical cracks, and finite element alternating method for elliptical surface cracks, subjected to arbitrary loadings , 1983 .

[4]  L. Kantorovich,et al.  Approximate methods of higher analysis , 1960 .

[5]  S. Timoshenko,et al.  Theory of Elasticity (3rd ed.) , 1970 .

[6]  Albert S. Kobayashi,et al.  Stress Intensity Factors for Penny-Shaped Cracks: Part 1—Infinite Solid , 1967 .

[7]  M. K. Kassir,et al.  Three-Dimensional Stress Distribution Around an Elliptical Crack Under Arbitrary Loadings , 1966 .

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

[9]  Albert S. Kobayashi,et al.  Stress intensity factor for an elliptical crack under arbitrary normal loading , 1971 .

[10]  C. M. Segedin.  A note on geometric discontinuities in elastostatics , 1968 .

[11]  F. W. Smith,et al.  The Elliptical Crack Subjected to Nonuniform Shear Loading , 1974 .

[12]  Satya N. Atluri,et al.  An Embedded Elliptical Crack, in an Infinite Solid, Subject to Arbitrary Crack-Face Tractions , 1981 .

[13]  G. C. Sih,et al.  Methods of analysis and solutions of crack problems : recent developments in fracture mechanics : theory and methods of solving crack problems , 1973 .