Scaling Laws in the Ductile Fracture of Metallic Crystals

作者: M. I. Baskes , M. Ortiz

DOI: 10.1115/1.4030329

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摘要: We explore whether the continuum scaling behavior of fracture energy metals extends down to atomistic level. use an embedded atom method (EAM) model Ni, thus bypassing need strain-gradient plasticity at The calculations are performed with a number different 3D periodic size cells using standard molecular dynamics (MD) techniques. A void nucleus single vacancy is placed in each cell and then expanded through repeated NVT MD increments. For displacement, we determine which has lowest energy. optimal bear power-law relation opening displacement that consistent estimates based on (Fokoua et al., 2014, “Optimal Scaling Solids Undergoing Ductile Fracture by Void Sheet Formation,” Arch. Ration. Mech. Anal. (in press); Fokoua Laws for Derived From Strain-Gradient Microplasticity,” J. Phys. Solids, 62, pp. 295–311). persistence level remarkable.

参考文章(30)
Howard E. Boyer, Atlas of stress-strain curves ASM International. ,(1987)
John W. Hutchinson, A course on nonlinear fracture mechanics Department of Solid Mechanics, the Technical University of Denmark. ,(1979)
V. Tvergaard, A. Needleman, Nonlocal effects on localization in a void-sheet International Journal of Solids and Structures. ,vol. 34, pp. 2221- 2238 ,(1997) , 10.1016/S0020-7683(96)00140-0
Viggo Tvergaard, Discrete modelling of ductile crack growth by void growth to coalescence International Journal of Fracture. ,vol. 148, pp. 1- 12 ,(2007) , 10.1007/S10704-007-9172-4
Viggo Tvergaard, Ductile fracture by cavity nucleation between larger voids Journal of the Mechanics and Physics of Solids. ,vol. 30, pp. 265- 286 ,(1982) , 10.1016/0022-5096(82)90033-3
William G. Hoover, Canonical dynamics: Equilibrium phase-space distributions Physical Review A. ,vol. 31, pp. 1695- 1697 ,(1985) , 10.1103/PHYSREVA.31.1695
Shuichi Nosé, A unified formulation of the constant temperature molecular dynamics methods Journal of Chemical Physics. ,vol. 81, pp. 511- 519 ,(1984) , 10.1063/1.447334
A. Needleman, V. Tvergaard, A numerical study of void distribution effects on dynamic, ductile crack growth Engineering Fracture Mechanics. ,vol. 38, pp. 157- 173 ,(1991) , 10.1016/0013-7944(91)90079-G
R. Becker, A. Needleman, S. Suresh, V. Tvergaard, A.K. Vasudevan, An analysis of ductile failure by grain boundary void growth Acta Metallurgica. ,vol. 37, pp. 99- 120 ,(1989) , 10.1016/0001-6160(89)90270-8
R.O. Ritchie, J.F. Knott, J.R. Rice, On the relationship between critical tensile stress and fracture toughness in mild steel Journal of the Mechanics and Physics of Solids. ,vol. 21, pp. 395- 410 ,(1973) , 10.1016/0022-5096(73)90008-2