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Problem on circular-arc cracks between bonded dissimilar materials under concentrated force and moment

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Abstract

The method is very efficient by applying extended Schwarz principle integrated with the analysis of the singularity of complex stress functions to solve some plane-elastic problems under concentrated loads, in Ref.[1], this method is used to deal with the elastic problems of homogeneous plane. In this paper, it is extended to the case of dissimilar materials with co-circular cracks under concentrated force and moment. For several typical cases the solutions of complex stress function in closed form are built up and the stress intensity factors are given. From these solutions, we provide a series of particular results, in which two of them coincide with those in Refs. [1] and [6].

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References

  1. Fan Da-jun,Mathematical Elastical Mechanics, The Publishing House ofNew Era (1983), 373. (in Chinese)

  2. Muskhelishvili N.I.,Some Basic Problems of Mathematical Theory of Elasticity, The Publishing House of Science (1965). (Chinese version)

  3. Cook, T.S. and F. Erdogan, Stresses in bonded materials with a crack perpendicular to the interface,Int. J. Eng. Sci., 10 (1972), 677–697.

    Google Scholar 

  4. Erdogan, F. and O. Aksogan, Bonded half planes containing an arbitrary oriented crack,Int. J. Solids Structures, 10 (1974), 569–585.

    Google Scholar 

  5. Lu Jian-ke, The plane welding problem with a crack,Applied Mathematics and Mechanics,4 5 (1983), 679.

    Google Scholar 

  6. Loeber, J.F. and G.C. Sih, Green's functions for cracks in nonhomogeneous materials,J. Appl. Mech., 34 (1967), 240–243.

    Google Scholar 

  7. Sih, G.C.,Handbook of Stress Intensity Factors for Reserchers and Engineers (1974).

  8. Sih, G.C. and E.P. Chen,Cracks in Composite Materials Martinus Nijoff, The Hague/Boston/London (1981), 172.

  9. Sih, G.C., et al., Crack-tip stress-intensity factors for plane extension and plate bending problems,J. Appl. Mech.,29, (1962), 306.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Physics, Central-South University of Technology, Changsha

    Liu You-wen

  2. Hunan University, Changsha

    Jiang Chi-ping

Authors
  1. Liu You-wen
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  2. Jiang Chi-ping
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Communicated by Fan Ta-chung

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You-wen, L., Chi-ping, J. Problem on circular-arc cracks between bonded dissimilar materials under concentrated force and moment. Appl Math Mech 8, 271–282 (1987). https://doi.org/10.1007/BF02018553

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  • DOI: https://doi.org/10.1007/BF02018553

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