Photoelastic Determination of Mixed Mode Stress Intensity Factors

Document Type : Research Paper


Department of Mechanical Engineering, College of Technology, G.B. Pant University of Agriculture & Technology


A two dimensional finite model with inclined crack at different crack angles are being analyzed in mixed mode condition using photo elasticity method for the determination of Stress Intensity Factors. The well-known Sih’s equation and three points deterministic approach is used for the determination of stress intensity factors. The effects of biaxial load factor, crack angle, size factors were studied and a regression model was developed for geometry correction to predict Stress Intensity Factors. The results give a good compromise to the theoretical one. The experimental result also gives significant data for the two dimensional mixed mode loading conditions.


[1] Singh S., 1983, Applied Stress Analysis, Khanna Publishers, Delhi, India, 346-363.
[2] Sih G.C., 1973, A special theory of crack propagation methods of analysis and solution of crack problems, Journal of Mechanics of Fracture 1: XXI-XLV.
[3] Kelley L.G., 1991, Handbook of Numerical Method and Applications, Addison-Werly, Reading Mass, p. 99.
[4] Etheridge, J.M., Dally, J.W., 1977, A critical review of methods for determining stress-intensity factors from isochromatic fringes, Journal of Experimental Analysis 17: 248-254.
[5] Irwin G.R., 1957, Analysis of stress and strains near the end of a crack traversing a plate, ASME Transactions, Journal of Applied Mechanics 24(3).
[6] Du Z.Z., Hancock J.W, 1991, The effect of non singular stress on crack tip constant, Journal of Mechanics and Physics of Solids 39: 555-569.
[7] Paul T.K., 1995, Plane stress mixed mode fatigue crack propagation, Engineering Fracture Mechanics 52.
[8] Liebowitz H., Lee J.D., Eftis J., 1978, Biaxial load effects in fracture mechanics, Engineering Fracture Mechanics 10: 315-335.
[9] Haefele P.N., James D. Lee, 1995, The constant stress term, Engineering Fracture Mechanics 50(5/6): 869-882.
[10] Singh V.K., M. Tech Thesis, 2002, Experimental investigation of mixed mode stress field parameters under biaxial loading condition, G.B. Pant University of Ag & Technology, Pantnagar.