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Further investigation of interaction between interface macrocrack and parallel microcracks in bimaterial anisotropic solids

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Abstract

In this paper, with the aid of superimposing technique and the Pseudo Traction Method (PTM), the interaction problem between an interface macrocrack and parallel microcracks in the process zone in bimaterial anisotropic solids is reduced to a system of integral equations. After the integral equations are solved numerically, a conservation law among three kinds ofJ-integrals is obtained which are induced from the interface macrocrack tip, the microcrack and the remote field, respectively. This conservation law reveals that the microcrack shielding effect in such materials could be considered as the redistribution of the remoteJ-integral.

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References

  1. Rice JR. A path-independent integral and the approximate analysis of strain concentration by notches and cracks.ASME J Appl Mech, 1968, 35: 379–386

    Google Scholar 

  2. Horii H, Nemat-Nasser S. Elastic field of interacting inhomogeneities.J Mech Phys Solids, 1985, 33: 731–745

    Google Scholar 

  3. Horii H, Nemat-Nasser S. Interacting micro-cracks near the tips in the process zone of a macrocrack.J Mech Phys Solids, 1987, 35: 601–629

    Article  MATH  MathSciNet  Google Scholar 

  4. Suo Z. Singularities, Interfaces and cracks in dissimilar anisotropic media.Proc R Soc Lond, 1990, A 427: 331–358

    Article  MATH  Google Scholar 

  5. Chen YH. On the contribution of discontinuities in a near-tip stress field toJ-integral.Int J Engng Sci, 1996, 34: 819–829

    Article  MATH  Google Scholar 

  6. Chen YH, Hasebe N. Interaction between a main-crack and a parallel microcrack in an orthotropic plane elastic solid.Int J Solids Struct, 1994, 31: 1877–1890

    Article  MATH  Google Scholar 

  7. Zhao LG, Chen YH. Interaction between an interface crack and a parallel subinterface crack.Int J Fracture, 1996, 73: 279–291

    Article  Google Scholar 

  8. Cai H, Faber KT. On the use of approximation methods for microcrack shielding problem.ASME J Appl Mech, 1992, 59: 497–501

    Article  Google Scholar 

  9. Hutchinson JW. Crack tip shielding by microcracking in brittle solids.Acta Metall, 1987, 35: 1605–1619

    Article  Google Scholar 

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The project supported by the National Natural Science Foundation of China, and the Doctorate Foundation of Xi'an Jiaotong University

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Wenye, T., Yiheng, C. Further investigation of interaction between interface macrocrack and parallel microcracks in bimaterial anisotropic solids. Acta Mech Sinica 15, 255–264 (1999). https://doi.org/10.1007/BF02486153

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  • DOI: https://doi.org/10.1007/BF02486153

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