Boundary element analysis of crack growth for mixed-mode center slant crack problems

Abstract A boundary element analysis of crack growth for a linear mixed-mode center slant crack problem is presented in this article. The analysis was performed using multidomain boundary element scheme and quadratic quarter point boundary elements on each side of the crack. The crack growth direction is predicted by the maximum principal stress theory, however the Crack Surface Relative Displacement (CSRD) method is used to eliminate the calculation of the stress intensity factors which are normally required. The BEM results showed good agreement with the analytical and a very fine mesh FEM solutions.

[1]  T. A. Cruse,et al.  Two-dimensional BIE fracture mechanics analysis , 1978 .

[2]  Anthony R. Ingraffea,et al.  Two‐dimensional stress intensity factor computations using the boundary element method , 1981 .

[3]  Hussain,et al.  Strain Energy Release Rate for a Crack Under Combined Mode I and Mode II , 1974 .

[4]  Anthony R. Ingraffea,et al.  AN INTEGRATED BOUNDARY ELEMENT ANALYSIS SYSTEM WITH INTERACTIVE COMPUTER GRAPHICS FOR THREE-DIMENSIONAL LINEAR-ELASTIC FRACTURE MECHANICS , 1985 .

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

[6]  F. Erdogan,et al.  On the Crack Extension in Plates Under Plane Loading and Transverse Shear , 1963 .

[7]  R C Rice,et al.  FATIGUE CRACK GROWTH PROPERTIES OF RAIL STEELS , 1981 .

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

[9]  J. Rice,et al.  Elementary engineering fracture mechanics , 1974 .

[10]  D. Clements,et al.  A boundary integral equation method for the solution of a class of crack problems , 1987 .

[11]  G. Sih.  Strain-energy-density factor applied to mixed mode crack problems , 1974 .

[12]  M. Laura Luchi,et al.  Boundary elements for three‐dimensional elastic crack analysis , 1987 .

[13]  C L Chow,et al.  Finite element analysis of cracked bodies to determine stress intensity factors , 1976 .

[14]  P. M. Besuner,et al.  The application of the boundary-integral equation method to the solution of engineering stress analysis and fracture mechanics problems , 1977 .

[15]  C. Woo,et al.  Use of finite element method for determining stress intensity factors with a conic-section simulation model of crack surface , 1982 .

[16]  T. Cruse,et al.  Boundary-integral equation analysis of cracked anisotropic plates , 1975 .