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    Scaling Laws in the Ductile Fracture of Metallic Crystals

    Source: Journal of Applied Mechanics:;2015:;volume( 082 ):;issue: 007::page 71003
    Author:
    Baskes, M. I.
    ,
    Ortiz, M.
    DOI: 10.1115/1.4030329
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We explore whether the continuum scaling behavior of the fracture energy of metals extends down to the atomistic level. We use an embedded atom method (EAM) model of Ni, thus bypassing the need to model straingradient plasticity at the continuum level. The calculations are performed with a number of different 3D periodic size cells using standard molecular dynamics (MD) techniques. A void nucleus of a single vacancy is placed in each cell and the cell is then expanded through repeated NVT MD increments. For each displacement, we then determine which cell size has the lowest energy. The optimal cell size and energy bear a powerlaw relation to the opening displacement that is consistent with continuum estimates based on straingradient plasticity (Fokoua et al., 2014, “Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation,â€‌ Arch. Ration. Mech. Anal. (in press); Fokoua et al., 2014, “Optimal Scaling Laws for Ductile Fracture Derived From StrainGradient Microplasticity,â€‌ J. Mech. Phys. Solids, 62, pp. 295–311). The persistence of powerlaw scaling of the fracture energy down to the atomistic level is remarkable.
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      Scaling Laws in the Ductile Fracture of Metallic Crystals

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    contributor authorBaskes, M. I.
    contributor authorOrtiz, M.
    date accessioned2017-05-09T01:14:43Z
    date available2017-05-09T01:14:43Z
    date issued2015
    identifier issn0021-8936
    identifier otherjam_082_07_071003.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/156960
    description abstractWe explore whether the continuum scaling behavior of the fracture energy of metals extends down to the atomistic level. We use an embedded atom method (EAM) model of Ni, thus bypassing the need to model straingradient plasticity at the continuum level. The calculations are performed with a number of different 3D periodic size cells using standard molecular dynamics (MD) techniques. A void nucleus of a single vacancy is placed in each cell and the cell is then expanded through repeated NVT MD increments. For each displacement, we then determine which cell size has the lowest energy. The optimal cell size and energy bear a powerlaw relation to the opening displacement that is consistent with continuum estimates based on straingradient plasticity (Fokoua et al., 2014, “Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation,â€‌ Arch. Ration. Mech. Anal. (in press); Fokoua et al., 2014, “Optimal Scaling Laws for Ductile Fracture Derived From StrainGradient Microplasticity,â€‌ J. Mech. Phys. Solids, 62, pp. 295–311). The persistence of powerlaw scaling of the fracture energy down to the atomistic level is remarkable.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleScaling Laws in the Ductile Fracture of Metallic Crystals
    typeJournal Paper
    journal volume82
    journal issue7
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4030329
    journal fristpage71003
    journal lastpage71003
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2015:;volume( 082 ):;issue: 007
    contenttypeFulltext
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