Theoretical and numerical investigations of single arm dislocation source controlled plastic flow in FCC micropillars

Cui, Yinan; Lin, Peng; Liu, Zhanli; Zhuang, Zhuo

doi:10.1016/j.ijplas.2013.11.011

Cited by 101 publications

(51 citation statements)

References 52 publications

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“…In this case a single arm dislocation (SAD) model proposed by Parthasarathy et al (Parthasarathy et al, 2007) can be used to explain the size effect. Furthermore, DD simulations by Akarapu et al (Akarapu et al, 2010) and Cui et al (Cui et al, 2014) found that the intermittent operation and stagnation of single arm dislocation sources cause the observed strain bursts.…”

Section: Molecular Dynamics (Md) and Discrete Dislocation Dynamics (Dmentioning

confidence: 98%

“…In this paper, a stochastic crystal plasticity model is developed which considers both size effect and strain bursts. Motivated by the SAD model (Cui et al, 2014;Parthasarathy et al, 2007), an effective source length is introduced in this model. Thus, the slip resistance is a function of sample size.…”

Section: Molecular Dynamics (Md) and Discrete Dislocation Dynamics (Dmentioning

confidence: 99%

“…For submicron pillars, as dislocations escape from free surface, the dislocation density decreases to a stable value, so strain hardening is absent (Cui et al, 2014). For micron pillars, dislocation density increases due to dislocation interactions and causes Taylor hardening during deformation.…”

Section: Strain Hardening For Micron Pillarsmentioning

confidence: 99%

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A stochastic crystal plasticity model with size-dependent and intermittent strain bursts characteristics at micron scale

Lin

Liu

Cui

et al. 2015

International Journal of Solids and Structures

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Please cite this article as: Lin, P., Liu, Z., Cui, Y., Zhuang, Z., A stochastic crystal plasticity model with sizedependent and intermittent strain bursts characteristics at micron scale, International Journal of Solids and Structures (2015), doi: http://dx.Abstract: Size effect and strain bursts are widely observed in the plastic deformation of micron-sized single crystals. In this paper, a stochastic crystal plasticity model is established by importing these two dislocation-source-controlled characteristics into the conventional crystal plasticity theory. The plastic strain is composed of a series of strain bursts instead of formulated as a continuous function. The size of each strain burst follows a power-law distribution function and the rate of strain bursts is determined by a constitutive equation. On the other hand, size effect is accounted for by dislocation-source-controlled slip resistance. The effective dislocation source length is derived as a function of sample size by a statistical analysis and experimental data. Uniaxial compression of single crystal Ni micron-sized pillars, with diameters ranging from 5 to 40 µm, are investigated by the model. The results show that this model well captures the significant features of plastic deformation at micron scale: 1) Strain bursts are strongly affected by sample size. For large pillars (e.g. 40 µm), the stress-strain curves are almost continuous and predictable. But as sample size decreases, strain bursts become more and more evident and the stress-strain curves are unpredictable. 2)The yield strength increases significantly as sample size decreases. For diameter larger than 40 µm, the strengthening effect still exists but is not evident anymore. All these results match well with the experimental observations.

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Section: Molecular Dynamics (Md) and Discrete Dislocation Dynamics (Dmentioning

confidence: 98%

Section: Molecular Dynamics (Md) and Discrete Dislocation Dynamics (Dmentioning

confidence: 99%

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A stochastic crystal plasticity model with size-dependent and intermittent strain bursts characteristics at micron scale

Lin

Liu

Cui

et al. 2015

International Journal of Solids and Structures

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“…In submicron crystals, it is widely accepted that the operation of single arm source is the dominated dislocation mechanism (Rao et al, 2007;Cui et al, 2014). Thus, the other validation case is chosen to be a single arm source sweeping a micropillar with diameter 1000 nm and height 2000 nm.…”

Section: Reproduction Of Slip Stepmentioning

confidence: 99%

“…However, current experiments alone still cannot provide sufficient insight into the physical process. In the recent decades, discrete dislocation dynamics (DDD) has been becoming a rigorous tool to capture the dislocation evolution detail during plastic deformation at submicron scales (Espinosa et al, 2006;Csikor et al, 2007;Devincre et al, 2011;Zhou et al, 2011;Zhou and LeSar, 2012;Cui et al, 2014) and successfully fill the gap between atomistic simulations and theoretical analysis of continuum plasticity. Nevertheless, DDD modeling alone cannot consider the finite deformation of the computational cell.…”

Section: Introductionmentioning

confidence: 99%

Quantitative investigations on dislocation based discrete-continuous model of crystal plasticity at submicron scale

Cui

Liu

Zhuang

2015

International Journal of Plasticity

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Theoretical and numerical investigations of single arm dislocation source controlled plastic flow in FCC micropillars

Cited by 101 publications

References 52 publications

A stochastic crystal plasticity model with size-dependent and intermittent strain bursts characteristics at micron scale

A stochastic crystal plasticity model with size-dependent and intermittent strain bursts characteristics at micron scale

Quantitative investigations on dislocation based discrete-continuous model of crystal plasticity at submicron scale

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