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Interactions of Constrained Flow and Size Scale on Mechanical Behavior

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Abstract

Coupled effects between constrained flow, increased strength as a function of decreased sample size, and resulting high stresses affect both modulus and fracture toughness. For submicron size crystalline spheres [1,2], boxes [3], and cubes [4], we have recently shown that dislocation by dislocation events can be followed using a combination of AFM/nanoindentation. This has led to at least three proposed strengthening mechanisms for hardening of small constrained volumes under compression[4]. With the increased stresses, this can produce increased moduli of elasticity in confined volumes small in three dimensions. With increased constrained plasticity this produces increased strength in volumes small in three, two or one dimensions.

Keywords

  • Fracture Toughness
  • Fracture Resistance
  • Fracture Process Zone
  • Strain Energy Release
  • Strain Energy Release Rate

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Gerberich, W.W., Cordill, M.J., Mook, W.M., Moody, N.R., Perrey, C.R., Carter, C.B., Mukherjee, R., and Girshick, S.L., Acta Mater., vol. 53, 2215–2229, 2005.

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  2. Gerberich, W.W., Jungk, J.M., Cordill, M.J., Mook, W.M., Boyce, B., Friedmann, T., Moody, N.R. and Yang, D., Intern. J. Fracture, 2005 (accepted).

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  3. Mook, W.M., Jungk, J.M., Cordill, M.J., Moody, N.R., Sun, Y., Xia, Y., and Gerberich, W.W., Z. Metallkd., vol. 95, 416–424, 2004.

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  4. Cordill, M.J., Chamber, M.M., Hallman, D., Lund, M., Perrey, C.R., Carter, C.B., Kortshagen, U. and Gerberich, W.W., “Plasticity Responses in Ultra-Small Confined Cubes and Films,” 2005 (in preparation).

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  5. Gerberich. W.W., Mook. W.M., Perrey. C.R., Carter. C.B., Baskes. M.I., Mukherjee. R., Gidwani. A., Heberlein. J., McMurry. P.H. and Girshick. S.L., J. Mech. Phys. Solids, vol. 51, 979–992, 2003.

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  6. Gerberich. W.W., Jungk, J.M., Li, M., Volinsky, A.A., Hoehn, J. W. and Yoder, K., Intern. J. Fracture vol. 119/120, 287–405, 2003.

    Google Scholar 

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Gerberich, W.W., Mook, W.M., Cordill, M.J., Hallman, D. (2006). Interactions of Constrained Flow and Size Scale on Mechanical Behavior. In: Gdoutos, E.E. (eds) Fracture of Nano and Engineering Materials and Structures. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4972-2_6

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  • DOI: https://doi.org/10.1007/1-4020-4972-2_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4971-2

  • Online ISBN: 978-1-4020-4972-9

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