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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 84))

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Abstract

Crack tip fields in ductile crystals were studied using diffusion bonded copper single crystals for the two orientations studied by Rice. An optical microscope, stylus profilometer, and X-ray were used to study slip traces on specimen surfaces, surface profiles and lattice rotations, respectively. The plastic zone developed as an assemblage of fan-shaped sectors, the details of which depended on the crystal orientation and the latent hardening behaviors of the crystal. Resultantly, deformation fields of the two orientations were substantially different from each other and also from theoretical predictions as well. Etch pit observations of the specimen interior showed slips on the secondary (or tertiary) systems to meet the compatibity requirement, and that crack tip plastic sectors found on specimen surfaces are reasonably valid in the specimen interior as well, particularly for the B orientation. A simple plane strain model based on exclusive latent hardening could explain many features of experimental results observed on specimen surfaces and specimen interiors reasonably.

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References

  1. Cho, J.W. and Yu, J.: Near crack tip deformation in copper single crystals, Phil. Mag. Lett. 64 (1991), 175–182

    Article  ADS  Google Scholar 

  2. Rice, J.R.: Tensile crack tip fields in elastic-ideally plastic crystals, Mechanics of Materials 6 (1987) 317–335

    Article  Google Scholar 

  3. Saeedvafa, M. and Rice, J.R.: Crack tip singular fields in ductile crystals with taylor power-law hardening. 2.-plane-strain, J. Mech. Phys. Solids 37 (1989), 673–691

    Article  MATH  ADS  Google Scholar 

  4. Rice, J.R., Hawk, D.E. and Asaro, R.J.: Crack tip fields in ductile crystals, Int. J. Fracture 42 (1990), 301–321

    Article  Google Scholar 

  5. Shield, T.W.: An Experimental study of the plastic strain fields near a notch tip in a copper single crystal during loading, Acta Mater. 44 (1996), 1547–1561

    Article  Google Scholar 

  6. Mohan, R., Ortiz, M. and Shih, C.F.: An analysis of cracks in ductile single-crystals. 2.-mode-I loading, J. Mech. Phys. Solids 40 (1992) 315–337

    Article  ADS  Google Scholar 

  7. Cuitiño, A.M. and Ortiz, M.: Three-dimensional crack-tip fields in four-point-bending copper single-crystal specimens, J. Mech. Phys. Solids 44 (1996) 863–904

    Article  ADS  Google Scholar 

  8. Cuitiño, A.M. and Ortiz, M.: Computaional modeling of single-crystals, Modeling Simul. Mat. Sci. Eng. 1 (1993) 225–263

    Article  ADS  Google Scholar 

  9. Kitajima, S., Ohta, M. and Tonda, M.: Production of highly perfect copper crystals with thermal cyclic annealing, J. Cryst. Growth 24/25 (1974) 521–526

    Article  Google Scholar 

  10. Kanninen, M.F.: Advanced Fracture Mechanics, Oxford University Press., N.Y., 1985

    MATH  Google Scholar 

  11. Yu, Jin, unpublished work, 1991

    Google Scholar 

  12. Rice, J.R. and Rosengren, G.F.: Plane strain deformation near a crack tip in a power-law hardening material, J. Mech. Phys. Solids. 16 (1968) 1–12

    Article  MATH  ADS  Google Scholar 

  13. Hutchinson, J.W.: Singular behaviour at the end of a tensile crack in a hardening material, J. Mech. Phys. Solid 16 (1968) 13–31

    Article  MATH  ADS  Google Scholar 

  14. Vehoff, H. and Neumann, P.: In situ sem experiments concerning the mechanism of ductile crack growth, Acta Metallurgica, 27, (1979) 915–920

    Article  Google Scholar 

  15. Neumann, P., Fuhirott, H. and Vehoff, H.: Experiments concerning brittle, ductile, and environmentally controlled fatigue crack growth, in J.T. Fong (ed.), Fatigue Mechanisms, ASTM STP 675, (1979) 371–395

    Google Scholar 

  16. Jackson, P.J. and Basinski, Z.S.: Latent hardening and the flow stress in copper single crystals, Can. J. Phys. 45, (1967) 707

    Google Scholar 

  17. Basinski, S.J. and Basinski Z.S.: Chapter 16, Plastic deformation and work hardening, P. 261 in Dislocations in Solids, Vol. 4, ed. F.R.N. Nabarro, North-Holland, 1983

    Google Scholar 

  18. Paris, P.C. and Sih, G.C.: Stress analysis of cracks, in Fracture Toughness Testing, ASTM STP 381, (1965) 30–83

    Google Scholar 

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© 2000 Kluwer Academic Publishers

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Yu, J., Cho, J.W. (2000). Crack Tip Plasticity in Copper Single Crystals. In: Chuang, T.J., Rudnicki, J.W. (eds) Multiscale Deformation and Fracture in Materials and Structures. Solid Mechanics and Its Applications, vol 84. Springer, Dordrecht. https://doi.org/10.1007/0-306-46952-9_17

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  • DOI: https://doi.org/10.1007/0-306-46952-9_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6718-5

  • Online ISBN: 978-0-306-46952-7

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