Abstract
A mode II crack in single-crystal silicon was investigated experimentally using high-resolution transmission electron microscopy. Geometric phase analysis and numerical moiré method were employed to map the deformation fields of the crack-tip area. The normal strain field maps of the crack-tip area indeed showed the deformation occurs primarily in the vicinity of the dislocations and the normal strains are near zero in the crack-tip area. The shear strain field map shows that the relatively large shear strain is in the crack-tip area. The experimental results were compared with the predictions of linear elastic fracture mechanics. The comparison shows that measured strain distribution ahead of the crack-tip agrees with the predictions of linear elastic fracture mechanics up to 1 nm from the crack-tip.
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References
Rice J R. Tensile crack tip fields in elastic-ideally plastic crystals. Mech Mater, 1987, 6: 317–335
Crone W C, Shield T W. Experimental study of the deformation near a notch tip in copper and copper-beryllium single crystals. J Mech Phys Solids, 2001, 49: 2819–2838
Cuitiño A M, Ortiz M. Three-dimensional crack-tip fields in four-point-bending copper single-crystal specimens. J Mech Phys Solids, 1996, 44: 863–899
Fineberg J, Gross S P, Marder M, et al. Instability in the propagation of fast cracks. Phys Rev B, 1992, 45: 5146–5154
Bratov V, Petrov Y, Utkin A. Transient near tip fields in crack dynamics. Sci China-Phys Mech Astron, 2011, 54: 1309–1318
Graff S, Forest S, Strudel J L, et al. Finite element simulations of dynamic strain ageing effects at V-notches and crack tips. Scripta Mater, 2005, 52: 1181–1186
Gan Y, Li J X, Chu W Y, et al. Atomic image of indentation crack tip during stress corrosion cracking of mica in moist air. Scripta Mater, 2007, 57: 417–420
Zhao C W, Xing Y M. Nanoscale experimental study of a micro-crack in silicon. Phys B, 2008, 403: 4202–4204
Xing Y M, Dai F L, Yang W. Experimental study about nano-deformation field near quasi-cleavage crack tip. Chin Sci Ser A, 2000, 43: 963–968
Hÿtch M J, Putaux J L, Pénisson J M. Measurement of the displacement field of dislocations to 0.03 Å by electron microscopy. Nature, 2003, 423: 270–273
Zhao C W, Xing Y M. Bai P C, et al. Quantitative measurement of displacement and strain by the numerical moiré method. Chin Opt Lett, 2008, 6: 179–182
Liu Z W, Xie H M, Fang D N, et al. Residual strain around a step edge of artificial Al/Si (111)-7×7 nanocluster. Appl Phys Lett, 2005, 87: 201908
Johnson C L, Snoeck E, Ezcurdia M, et al. Effects of elastic anisotropy on strain distributions in decahedral gold nanoparticles. Nat Mater, 2008, 7: 120–124
Zhao C W, Xing Y M, Zhou C E, et al. Experimental examination of displacement and strain fields in an edge dislocation core. Acta Mater, 2008, 56: 2570–2575
Liu Z W, Xie H M, Gu C Z, et al. The digital geometric phase technique applied to the deformation evaluation of MEMS devices. J Micromech Microeng, 2009, 19: 015012
Zhao C W, Xing Y M. Nanoscale deformation analysis of a crack-tip in silicon by geometric phase analysis and numerical moiré method. Opt Laser Eng, 2010, 48: 1104–1107
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Zhao, C., Xing, Y. Quantitative analysis of nanoscale deformation fields of a crack-tip in single-crystal silicon. Sci. China Phys. Mech. Astron. 55, 1088–1092 (2012). https://doi.org/10.1007/s11433-012-4729-2
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DOI: https://doi.org/10.1007/s11433-012-4729-2