The eigenvector solution for a general corner or finite opening crack with further studies on the collocation procedure

The form of the eigenvector solution for a general corner or finite opening crack is examined for both real and complex eigenvalues using a complex potential approach. An overdetermined collocation algorithm to calculate the coefficients associated with eigenvectors for both the real and complex eigenvalues is presented. The algorithm is tested on a problem of known solution.

[1]  R. S. Dunham,et al.  A contour integral computation of mixed-mode stress intensity factors , 1976, International Journal of Fracture.

[2]  William C. Carpenter,et al.  Mode I and mode II stress intensities for plates with cracks of finite opening , 1984 .

[3]  G. C. Sih,et al.  Complex variable methods in elasticity , 1971 .

[4]  J. Z. Zhu,et al.  The finite element method , 1977 .

[5]  P. C. Paris,et al.  Crack-Tip, Stress-Intensity Factors for Plane Extension and Plate Bending Problems , 1962 .

[6]  William C. Carpenter,et al.  A collocation procedure for determining fracture mechanics parameters at a corner , 1984 .

[7]  Bernard Gross,et al.  Plane elastostatic analysis of V-notched plates , 1972 .

[8]  G. B. Sinclair,et al.  A simple yet accurate finite element procedure for computing stress intensity factors , 1982 .

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

[10]  D. N. Fenner Stress singularities in composite materials with an arbitrarily oriented crack meeting an interface , 1976, International Journal of Fracture.

[11]  N. Muskhelishvili Some basic problems of the mathematical theory of elasticity , 1953 .

[12]  Harold Liebowitz,et al.  Crack border stress and displacement equations revisited , 1977 .

[13]  John R. Rice,et al.  The Bending of Plates of Dissimilar Materials With Cracks , 1964 .

[14]  O. Zienkiewicz The Finite Element Method In Engineering Science , 1971 .

[15]  Morris Stern,et al.  The computation of stress intensity factors in dissimilar materials , 1978 .

[16]  J. Rice,et al.  Plane Problems of Cracks in Dissimilar Media , 1965 .