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Disappearance Conditions of Thermal Stress Singularities Based on Stress Intensity in Two and Three-Phase Bonded Structures

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Abstract

The characteristics of stress singularities near the free edge of the interface of bonded dissimilar materials subjected to change in temperature are investigated. The thermal stresses are represented by the sum of the singular terms of types r-1 and log r, no singular ones and the particular ones. The functions, K × F (j=1,2,3), associated with the terms except the particular terms contributing to the thermal stresses are described as new stress intensity factors. The K is obtained from the technique of the Mellin transform and the F is calculated by numerical analysis such as finite element analysis. The emphasis here is placed on clarifying material combinations with arbitrary wedge angles and elastic properties yielding K = 0. The results can be used to determine material/geometry which ensures that interface residual stresses will be in compressive.

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References

  • Bogy, D.B. (1970). On the problem of edge-bonded elastic quarter-planes loaded at the boundary. International Journal of Solids and Structures 6, 1287–1313.

    Article  MATH  Google Scholar 

  • Bogy, D.B. (1971a). Two-edge bonded elastic wedges of different materials and wedge angles under surface tractions. ASME, Journal of Applied Mechanics 38, 377–386.

    Google Scholar 

  • Bogy, D.B. (1971b). On the plane elastostatic problem of a loaded crack terminating at a material interface. ASME, Journal of Applied Mechanics 38, 911–918.

    MATH  Google Scholar 

  • Dundurs, J. (1969). Discussion of edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. ASME, Journal of Applied Mechanics 36, 650–652.

    Google Scholar 

  • Fenner, D.N. (1976). Stress singularities in composite materials with arbitrarily oriented crack meeting an interface. International Journal of Fracture 12, 705–721.

    Google Scholar 

  • Ghahremani, F. and Shih, C.F. (1992). Corner singularities of three-dimensional planer interface. ASME, Journal of Applied Mechanics 59, 61–68.

    Article  Google Scholar 

  • Hein, V.L. and Erdogan, F. (1991). Stress singularities in a two-material wedge. International Journal of Fracture Mechanics 7, 317–330.

    Google Scholar 

  • Inoue, T., Koguchi, H. and Yada, T. (1993). Distribution of singular stress intensity at the apex in three-phase bonded structure under normal loading on its surface. Transactions of Japan Society of Mechanical Engineers, (A) (in Japanese) 59, 2709–2716

    Google Scholar 

  • Inoue, T., Koguchi, H. and Yada, T. (1995). Solution of thermal stresses near apex in dissimilar materials by thermoelastic theory. Transactions of Japan Society of Mechanical Engineers (A), (in Japanese) 61, 73–79.

    Google Scholar 

  • Inoue, T. and Koguchi, H. (1996). Influence of the intermediate material on the order of the stress singularity in three-phase bonded structure. International Journal of Solids and Structures 33, 399–417.

    Article  MATH  Google Scholar 

  • Inoue, T. and Koguchi, H. (1997). Relaxation of thermal stresses in dissimilar materials (approach based on stress intensity). International Journal of Solids and Structures 34, 3215–3233.

    Article  MATH  Google Scholar 

  • Koguchi, H., Inoue, T. and Yada, T. (1996). Stress singularity in three-phase bonded structure. ASME, Journal of Applied Mechanics 63, 252–258.

    Article  MATH  Google Scholar 

  • Munz, D. Fett, T. and Yang, Y.Y. (1993). The regular stress term in bonded dissimilar materials after a change in temperature. Engineering Fracture Mechanics 44, 185–194.

    Article  ADS  Google Scholar 

  • Pageau, S.S., Joseph, P.F. and Biggers, S.B. Jr. (1994). The order of stress singularities for bonded and disbonded three-material junctions. International Journal of Solids and Structures 31, 2979–2997.

    Article  MATH  Google Scholar 

  • Sneddon, I.N. (1974). The Use of Integral Transforms, McGraw-Hill, New York.

    Google Scholar 

  • Theocaris, P.S. and Gdoutos, E.E. (1976). Stress singularities at equal angle biwedges and two-material rough interface. ASME, Journal of Applied Mechanics 43, 64–68.

    Google Scholar 

  • Theocaris, P.S. and Gdoutos, E.E. (1977). Stress singularities in cracked composite full-planes. International Journal of Fracture 13, 763–773.

    Article  Google Scholar 

  • Williams, M.L. (1952). Stress singularities resulting from various boundary conditions in angular corners of plates in extension. ASME, Journal of Applied Mechanics 19, 526–528.

    Google Scholar 

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inoue, T., Hojo, M. & Ochiai, S. Disappearance Conditions of Thermal Stress Singularities Based on Stress Intensity in Two and Three-Phase Bonded Structures. International Journal of Fracture 96, 179–201 (1999). https://doi.org/10.1023/A:1018722019079

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