Photoelastic determination of complex stress intensity factors for slant cracks under biaxial loading with higher-order term effects

SummaryThe problem of a thin sheet containing a slant crack and subjected to a biaxial load is examined by giving the expressions for stresses in a series form, which are equally valid near and far (r<2a) from the crack tip. The progressive importance of the higher-order terms in the series representation for stresses, which were added to the singular and constant ones was demonstrated by giving the isochromatic fringe patterns near and far the crack-tip area. Based on these expressions, a photoelastic determination of the exact values of the complex stress intensity factor was given without necessitating appropriate correction factors and diagrams. The values of SIFs thus determined are valid independently of the polar angle and distance of measurements from the crack tip.

[1]  N. Subramonian,et al.  The inclined crack under biaxial load , 1978 .

[2]  P. C. Paris,et al.  Stress Analysis of Cracks , 1965 .

[3]  J M Etheridge,et al.  A three-parameter method for determining stress intensity factors from isochromatic fringe loops , 1978 .

[4]  R. J. Sanford,et al.  A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns , 1979 .

[5]  H. Rossmanith Analysis of mixed-mode isochromatic crack-tip fringe patterns , 1979 .

[6]  A new method of determining the stress intensity factor K from isochromatic fringe loops , 1978 .

[8]  R. J. Sanford,et al.  Classification of stress-intensity factors from isochromatic-fringe patterns , 1979 .

[9]  J. W. Dally,et al.  Classification of stress-intensity factors from isochromatic-fringe patterns , 1978 .

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

[11]  Louis G. Kelly,et al.  Handbook of Numerical Methods and Applications , 1969 .

[12]  P. Theocaris,et al.  Deformed boundaries determined by the method of caustics , 1977 .

[13]  C. W. Smith,et al.  LOCAL STRESSES NEAR DEEP SURFACE FLAWS UNDER CYLINDRICAL BENDING FIELDS , 1972 .

[14]  C. W. Smith,et al.  Photoelastic determination of mixed mode stress intensity factors , 1972 .

[15]  Pericles S. Theocaris,et al.  A photoelastic determination of Ki stress intensity factors , 1975 .

[16]  Emmanuel E. Gdoutos,et al.  A photoelastic determination of mixed-mode stress-intensity factors , 1978 .

[17]  W. B. Bradley,et al.  An investigation of propagating cracks by dynamic photoelasticity , 1970 .

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

[19]  J. W. Dally,et al.  A critical review of methods for determining stress-intensity factors from isochromatic fringes , 1977 .

[20]  Harold Liebowitz,et al.  Biaxial load effects in fracture mechanics , 1978 .