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Size Effect on Stress-Intensity Factors of CNS Specimen With an Interface Crack Subjected to Mixed-Mode Loading

  • Conference paper
IUTAM Symposium on Field Analyses for Determination of Material Parameters — Experimental and Numerical Aspects

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 109))

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Abstract

A three-dimensional finite element analysis is carried out by using a compact normal and shear (CNS) specimen with various kinds of specimen size. The complex stress intensity factor K associated with an elastic interface crack is evaluated by the virtual crack extension method. The effect of Young’s modulus and Poisson’s ratio on stress intensity factors is discussed under various kinds of mixed-mode loading. It is predicted that the stress intensity factors would vary with the specimen size. Then, the size effect on stress-intensity factors is discussed. A simple evaluation method for stress intensity factors is needed in the fracture toughness test. Therefore, a polynomial fit is proposed to evaluate the stress intensity factors at the midsection of a CNS specimen with an interface crack subjected to mixed mode loading. It is possible to evaluate the stress intensity factors of a CNS specimen with high accuracy by the present polynomial evaluation.

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References

  1. Williams, M.L, The Stresses around a Fault or Crack in Dissimilar Media, Bull. Seismol. Soc. America, Vol.49(1959), p.199–204.

    MathSciNet  Google Scholar 

  2. Erdogan, F.J., Stress Distribution in a Homogeneous Elastic Plane With Cracks, J. Appl. Mech., Vol.30(1963), p.232–236.

    MATH  Google Scholar 

  3. Erdogan, F.J., Stress Distribution in Bonded Dissimilar Materials with Cracks, J. Appl. Mech., Vol.32(1965), p.403 410.

    MathSciNet  Google Scholar 

  4. Rice, J.R. and Sih, G.C., Plane Problems of Cracks in Dissimilar Media, J. Appt. Mech., Vol.32(1965),p.418–423.

    Google Scholar 

  5. Yau, J.F., Wang, S.S. and Corten, H.T., A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity, J. Appt. Mech., Vol.47(1980), p.335–341.

    Article  MATH  Google Scholar 

  6. Yau, J.F. and Wang, S.S., An Analysis of Interface Cracks Between Dissimilar Isotropic Materials Using Conservation Integrals in Elasticity, Eng. Fract. Mech., Vol.20, No.3(1984),p.423–432.

    Article  Google Scholar 

  7. Sun. C.T. and Jih, C.J., On Strain Energy Release Rates for Interfacial Cracks in Bi-Material Media, Eng. Fract. Mech., Vol.28, No.l(1987), p.13–20.

    Article  Google Scholar 

  8. Hutchinson, J.W., Mear, M.E. and Rice, J.R., Crack Paralleling an Interface Between Dissimilar Materials, J. Appt. Mech., Vol.54(1987), p. 828–832.

    Article  Google Scholar 

  9. Gautesen, A.K. and Dundurs, J., The Interface Crack in a Tension Field, J. Appl. Mech., Vol.54(1987),p.93–98.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Rice, J.R., Elastic Fracture Mechanics Concepts for Interfacial Cracks, J. Appl. Mech., Vol.55 (1988), p.98–103.

    Article  ADS  Google Scholar 

  11. Sih, C.F. and Asaro, R.j., Elastic-Plastic Analysis of Cracks on Bimaterial Interfaces: Part I-Small Scale Yielding, J. Appl. Mech, Vol.55(1988), p.299–316.

    Article  ADS  Google Scholar 

  12. Delale, F. and Erdogan, F, On the Mechanical Modeling of the Interfacial Region in Bonded Half-Planes, J. Appt. Mech, Vol.55(1988), p.317–324.

    Article  Google Scholar 

  13. Charalambides, P.G, Lund, J, Evans, A.G. and McMeeking, R.M, A Test Specimen for Determining the Fracture Resistance of Bimaterial Interfaces, J. Appl. Mech, Vol.56(1989),p.77 82.

    Article  ADS  Google Scholar 

  14. Matos, P.P.L, McMeeking, R.M, Charalambides, P.G. and Dropy, M.D, A Method for Calculating Stress Intensities in Bimaterial Fracture, Int. J. Fract, Vol.40(1989), p.235–254.

    Article  Google Scholar 

  15. Yuuki, R. and Cho, S.B, Boundary Element Analysis of Stress Intensity Factors for an Interface Crack in Dissimilar Materials, Trans. Jpn. Soc. Mech. Eng, (in Japanese), Vol. 55, No.510, A(1989), p.340–347.

    Article  Google Scholar 

  16. Yuuki, R. and Xu, J.Q, Logarithmic Singularity on Thermal or Residual Stress at the Interface Edge Point of Bonded Dissimilar Materials, Trans. Jpn. Soc. Mech. Eng, (in Japanese), Vol.58, No.556, A(1992), p.2394–2400.

    Article  Google Scholar 

  17. Yuuki, R, Liu, J.Q, Xu, J.Q. and Kim, Y.H, Study on the Mixed Mode Fracture Criterion of Interface Crack, J. Soc. Mat. Sci, (in Japanese), Vol.43, No.493(1994), p.1206–1210.

    Article  Google Scholar 

  18. Chen, D.H. and Mori, Y., Stress Singularities for a V-Notch with Its Tip on the Bimaterial Interface, Trans. Jpn. Soc. Mech. Eng, (in Japanese), Vol.58, No.556, A(1992), p.2381–2386.

    Article  Google Scholar 

  19. Chen, D.H. and Nishitani, H, Stress Intensity Factors of a Crack Meeting the Bimaterial Interface, Trans. Jpn. Soc. Mech. Eng, (in Japanese), Vol.59, No.558, A(1993), p.325 331.

    Article  Google Scholar 

  20. Chen, D.H. and Mori, Y., Stress Singularities for Crack with Tip on Bimaterial Interface of Isotropic and Anisotropic Phases, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.60, No.578, A(1994), p.2228 2235.

    Article  Google Scholar 

  21. Aoki, S., Kishimoto, K. and Takeuchi, N., An Elastic-Plastic Finite Element Analysis of a Crack on a Bimaterial Interface, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.56, No.523,A(1990),p.638–645.

    Article  Google Scholar 

  22. Aoki, S. and Ishii, N., Interface Crack under Mixed Mode Loading, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.58, No.555, A(1992), p.2056–2061.

    Article  Google Scholar 

  23. Miyazaki, N., Ikeda, T., Soda, T. and Munakata, T., Stress Intensity Factor Analysis of Interface Crack Using Boundary Element Method (1st Report, Application of Virtual Crack Extension Method), Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.57, No.541, A(1991),p.2063–2069.

    Article  Google Scholar 

  24. Miyazaki, N., Ikeda, T., Soda, T. and Munakata, T., Stress Intensity Factor Analysis of Interface Crack Using Boundary Element Method (2nd Report, Application of Contour-Integral Method, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.57, No.544, A(1991), p.2903–2910.

    Article  Google Scholar 

  25. Ikeda, T., Miyazaki, N,, Soda, T. and Munakata, T., Mixed Mode Fracture Criteria of Interface Crack between Dissimilar Materials, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.58, No.555, A(1992), p.2080–2087.

    Article  Google Scholar 

  26. Ikeda, T., Miyazaki, N., Yamashita, A. and Munakata, T., Stress Intensity Factor Analysis of an Interface Crack in an Adhesive Joint by Combination of the Boundary Element and Finite Element Methods, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.60, No.578, A(1994),p.2220–2227.

    Article  Google Scholar 

  27. Ikeda, T., Komohara, Y. and Miyazaki, N., Stress Intensity Factor Analysis of an Interface Crack between Dissimilar Materials under Thermal Stress Condition by Virtual Crack Extension Method, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.63 No.611(1997), p.1377–1384.

    Article  Google Scholar 

  28. Noda, N., Oda, K., Higuchi, T. and Tanaka, A., Analysis of Stress Intensity Factors of Interface Cracks and Angular Corners Using the Singular Integral Equation of the Body Force Method, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.60, No.578, A(1994), p.2213–2219.

    Article  Google Scholar 

  29. Machida, K., Stress Intensity Factors of a Mixed-Mode Interface Crack by a Finite Element Analysis, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.62, No.599, A(1996), p.1565–1570.

    Article  Google Scholar 

  30. Machida, K., Stress Intensity Factors of 3-D Interface Crack under Mixed-Mode Loading, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.63, No.606, A(1997), p.302–307.

    Article  Google Scholar 

  31. Machida, K., Polynomial Evaluation of Stress Intensity Factors of CNS Specimen with an Interface Crack Subject to Mixed-Mode Loading, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.64, No.618, A(1998), p.290–296.

    Article  Google Scholar 

  32. Richard, H.A. and Benitz, K., A Loading Device for the Creation of Mixed Mode in Fracture Mechanics, Int. J. Fract., Vol.22(1983), p.R55–R58.

    Article  Google Scholar 

  33. Parks, D.M., A Stiffness Derivative Finite Element Technique for Determination of Elastic Crack Tip Stress Intensity Factors, Int. J. Fract,, Vol.l0(1974), p.487–502.

    Article  Google Scholar 

  34. Rybicki, E.F. and Kanninen, M.F., A Finite Element Calculation of Stress Intensity Factors by a Modified Crack Closure Integral, Eng. Fract. Mech., Vol.9 (1977), p.931–938.

    Article  Google Scholar 

  35. Shivakumar, K.N., Tan, P.W. and Newman, J,C. Jr., A Virtual Crack Closure Technique for Calculating Stress Intensity Factors for Cracked Three Dimensional Bodies, Int. J. Fract, Vol.36(1988), p.R43–R50.

    Google Scholar 

  36. Kishimoto, K., Fukano, H., Yoshida, T. and Aoki, S., Elastic-Plastic Fracture Behavior of an Aluminum Alloy under Mixed Mode Conditions, Trans. Jpn. Soc. Mech. Eng., (in Japanese), Vol.56, No.524 (1990), p.957–965.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Science, University of Tokyo, 2641 Yamazaki, Noda-shi, Chiba, 2788510, Japan

    Kenji Machida

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  1. Kenji Machida
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Editor information

Editors and Affiliations

  1. Malmö University, Malmö, Sweden

    P. Ståhle

  2. Luleå University of Technology, Luleå, Sweden

    K. G. Sundin

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© 2003 Kluwer Academic Publishers

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Machida, K. (2003). Size Effect on Stress-Intensity Factors of CNS Specimen With an Interface Crack Subjected to Mixed-Mode Loading. In: Ståhle, P., Sundin, K.G. (eds) IUTAM Symposium on Field Analyses for Determination of Material Parameters — Experimental and Numerical Aspects. Solid Mechanics and its Applications, vol 109. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0109-0_17

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  • DOI: https://doi.org/10.1007/978-94-010-0109-0_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1283-9

  • Online ISBN: 978-94-010-0109-0

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