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Effects of non-singular stress terms and birefringent coefficient on caustics under various fracture mode loadings

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Abstract

This report investigates the effect of the first few higher-order, non-singular stress terms and the coefficient of optical anisotropy on the shapes of the initial curves and the caustics in birefringent plates under Mode I and Mode II static loading conditions. For Mode I and Mode II loading conditions, Williams stress function is employed to generate various theoretical initial curves and caustics. Some experimentally obtained double caustics are compared to the theoretically generated double caustics. The agreement is found to be good as far as the shapes of caustics are concerned although it is not easy, if not impossible, to distinguish the effect of each higher-order terms.

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References

  • Hornbeck, R.W., 1975, “Numerical Methods”, Quantum Publishers, INC., pp. 65–66.

  • Kalthoff, J.F., 1987, “Shadow Optical Method of Caustics”, Handbook on Experimental Mechanics, Society for Experimental Mechanics, pp. 430–500.

  • Kobayashi, A.S. and Ramulu, M., 1981, “Dynamic Stress Intensity Factors for Unsymmetric Dynamic Isochromatics”, Exp. Mech., 21, 1981, pp. 41–49.

    Article  Google Scholar 

  • Lee, O.S. and Kwon, O.K., 1987, “An Experimental Study on Crack Healing of Various Glassy Polymers”, KSME Journal, Vol. 1, No. 1, pp. 65–69.

    MathSciNet  Google Scholar 

  • Phillips, J.W. and Sanford, R.J., 1981, “Effect of Higher-Order Stress Terms on Mode-1 Caustics in Birefringent Materials”, Fracture Mechanics: Thirteenth Conference, ASTM STP 743, pp. 387–402.

  • Theocaris, P.S., and Gdoutos, E.E., 1972, “A Optical Method for Determining Opening-Mode and Edge Sliding-Mode Stress Intensity Factor”, J. of Applied Mechanics, Vol. 39, pp. 91–97.

    Google Scholar 

  • Theocaris, P.S. and Iokimidis, N.I., 1979, “An Improved Method for the Determination of Mode I Stress Intensity Factors by the Experimental Method of Caustics, J. of Strain Analysis”, Vol. 14, pp. 111–118.

    Article  Google Scholar 

  • Williams, M.L., 1957, “On the Stress Distribution at the Base of a Stationary Crack”, J. of Applied Mechanics, pp. 109–114.

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Lee, O.S., Han, M.K. & Hong, S.K. Effects of non-singular stress terms and birefringent coefficient on caustics under various fracture mode loadings. KSME Journal 3, 159–163 (1989). https://doi.org/10.1007/BF02953602

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  • DOI: https://doi.org/10.1007/BF02953602

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