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Calculation of the Energy Release Rate of Nano-Cracks in FCC Materials Via the Many Body Atomic Scale FEM

Ostad Hossein, Alireza | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40465 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Enginnering
  6. Advisor(s): Mohammadi Shodja, Hossein
  7. Abstract:
  8. Since the classical continuum theory fails to deal with the problems associated with defects, stress concentrators, and relevant deformation phenomena in solids, alternative approaches that can detect the atomistic nature of materials' fracture are required. The deficiency of the capture the size effect which yields delusively high values for some components of the stress field right on the edge of the stress concentrators, and its weakness in describing the complex interaction between small inhomogeneities, cracks and the like when they are only a few nanometers apart, are among some of the disadvantages of the classical approach. In recent years, however, atomistic methods are emerging to investigate the mentioned problems. In this paper, an atomistic study which exploits atomic scale finite element method in conjunction with the effective SC potential (AFEM-SC) is proposed to determine the energy release rate which is one of the most important fracture mechanics parameters. The energy release rate of certain two and three dimensional problems is worked out. The energy release rate pertinent to a single centered crack in (111) plane and an elliptic crack located in (001) plane half way through of a cubic specimen is compared with the results obtained from the classical theory of elasticity. In the numerical examples Ag as an fcc metal is merely considered to demonstrate the applicability of the present theory.

  9. Keywords:
  10. Atomic Scale Finite Element Method ; Sutton-Chen (Sc)Potential Function ; Energy Release Rate ; Interatomic Poterntial ; Nanocrack

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