Microstructure Evolution during Nanoindentation by the Quasicontinuum Method

Amelang, Jeffrey S.; Venturini, Gabriela; Kochmann, Dennis M.

doi:10.1002/pamm.201310263

Cited by 6 publications

(3 citation statements)

References 12 publications

(14 reference statements)

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“…This technique is referred to as adaptive coarse-graining and has recently been implemented by Amelang and Kochmann [214] (using previously defined fully-nonlocal energy based QC methods [215]) for evaluating nanostructures where free surfaces contribute significantly to mechanical behavior. One key aspect of adaptivity is the ability to reduce full atomistic resolution to only where it is required.…”

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confidence: 99%

Grain-size dependent mechanical behavior of nanocrystalline metals

Hahn

Meyers

2015

Materials Science and Engineering: A

178

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Grain size has a profound effect on the mechanical response of metals. Molecular dynamics continues to expand its range from a handful of atoms to grain sizes up to 50 nm, albeit commonly at strain rates generally upwards of 10 6 s -1 . In this review we examine the most important theories of grain size dependent mechanical behavior pertaining to the nanocrystalline regime. For the sake of clarity, grain sizes d are commonly divided into three regimes: d > 1μm, 1 μm < d < 100 nm; and d < 100 nm. These different regimes are dominated by different mechanisms of plastic flow initiation. We focus here in the region d < 100 nm, aptly named the nanocrystalline region. An interesting and representative phenomenon at this reduced spatial scale is the inverse Hall-Petch effect observed experimentally and in MD simulations in FCC, BCC, and HCP metals. Significantly, we compare the results of molecular dynamics simulations with analytical models and mechanisms based on the contributions of Conrad and Narayan and Argon and Yip, who attribute the inverse Hall-Petch relationship to the increased contribution of grain-boundary shear as the grain size is reduced. The occurrence of twinning, more prevalent at the high strain rates enabled by shock compression, is evaluated.2

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confidence: 99%

Grain-size dependent mechanical behavior of nanocrystalline metals

Hahn

Meyers

2015

Materials Science and Engineering: A

178

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“…Furthermore, conforming triangulations are generally used to achieve a smooth transition from fully resolved domains to coarse-grained domains (see e.g. [17,[19][20][21][22][23][24][25][26][31][32][33]). …”

Section: Interpolationmentioning

confidence: 99%

“…The QC method was originally formulated for (conservative) atomistic lattice models [17] and it has so far mostly been used for these [23][24][25][26]. The recent work of [27] on a (conservative) lattice for human erythrocyte membranes forms one of the few exceptions.…”

Section: Introductionmentioning

confidence: 99%

Higher‐order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending

et al. 2015

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The quasicontinuum (QC) method is a numerical strategy to reduce the computational cost of direct lattice computations -in this study we achieve a speed up of a factor of 40. It has successfully been applied to (conservative) atomistic lattices in the past, but using a virtualpower statement it was recently shown that QC approaches can also be used for spring and beam lattice models that include dissipation. Recent results have shown that QC approaches for planar beam lattices experiencing in-plane and out-of-plane deformation require higherorder interpolation. Higher-order QC frameworks are scarce nevertheless. In this contribution, the possibilities of a second-order and third-order QC framework are investigated for an elastoplastic spring lattice. The higher-order QC frameworks are compared to the results of the direct lattice computations and to those of a linear QC scheme. Examples are chosen so that both a macroscale and a microscale quantity influences the results. The two multiscale examples focused on are (i) macroscopically prescribed uniaxial deformation and (ii) macroscopically prescribed pure bending. Furthermore, the examples include an individual inclusion in a large lattice and hence, are concurrent in nature.

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Connecting Lower and Higher Scales in Crystal Plasticity Modeling

McDowell

2018

Handbook of Materials Modeling

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Microstructure Evolution during Nanoindentation by the Quasicontinuum Method

Cited by 6 publications

References 12 publications

Grain-size dependent mechanical behavior of nanocrystalline metals

Grain-size dependent mechanical behavior of nanocrystalline metals

Higher‐order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending

Connecting Lower and Higher Scales in Crystal Plasticity Modeling

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