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

Cui, Yinan; Liu, Zhanli; Zhuang, Zhuo

doi:10.1016/j.ijplas.2015.02.002

Cited by 51 publications

(21 citation statements)

References 33 publications

(47 reference statements)

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“…3D-DDD simulations are much more demanding computationally than any other method. However, they have recently been robust enough to be utilized as vir- [196].…”

Section: Results Of 3d-ddd Simulationsmentioning

confidence: 99%

Avalanches and plastic flow in crystal plasticity: an overview

Papanikolaou

Cui

Ghoniem

2017

Modelling Simul. Mater. Sci. Eng.

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Crystal plasticity is mediated through dislocations, which form knotted configurations in a complex energy landscape. Once they disentangle and move, they may also be impeded by permanent obstacles with finite energy barriers or frustrating long-range interactions. The outcome of such complexity is the emergence of dislocation avalanches as the basic mechanism of plastic flow in solids at the nanoscale. While the deformation behavior of bulk materials appears smooth, a predictive model should clearly be based upon the character of these dislocation avalanches and their associated strain bursts. We provide here a comprehensive overview of experimental observations, theoretical models and computational approaches that have been developed to unravel the multiple aspects of dislocation avalanche physics and the phenomena leading to strain bursts in crystal plasticity.

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“…3D-DDD simulations are much more demanding computationally than any other method. However, they have recently been robust enough to be utilized as vir- [196].…”

Section: Results Of 3d-ddd Simulationsmentioning

confidence: 99%

Avalanches and plastic flow in crystal plasticity: an overview

Papanikolaou

Cui

Ghoniem

2017

Modelling Simul. Mater. Sci. Eng.

Self Cite

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“…In this regard, we note that, in the context of the remarkable FEM-based Discrete Continuous Model (DCM) introduced in [15,16], the use of the non-singular spreading function as a weighting function was proposed earlier to regularize the plastic strain distribution [29,30]. While a corrective short-range contribution was not included in these two earlier works, a similar splitting procedure to that introduced in Eq.…”

Section: Discussionmentioning

confidence: 99%

Connecting discrete and continuum dislocation mechanics: A non-singular spectral framework

Bertin

2019

International Journal of Plasticity

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In this paper, we present an improved framework of the spectral-based Discrete Dislocation Dynamics (DDD) approach introduced in [1, 2], that establishes a direct connection with the continuum Field Dislocation Mechanics (FDM) approach. To this end, an analytical method to convert a discrete dislocation network to its continuous dislocation density tensor representation is first developed. From there, the mechanical fields are evaluated using a FDM-based spectral framework, while submesh resolution elastic interactions are accounted for via the introduction of a rigorous stress splitting procedure that leverages properties of non-singular dislocation theories. The model results in a computationally efficient approach for DDD simulations that enables the use of elastic anisotropy and heterogeneities, while being fully compatible with recently developed subcycling time-integrators. As an example, the model is used to perform a work-hardening simulation, and potential applications that take advantage of the fullfield nature of the method are explored, such as informing FDM models, and efficiently calculating virtual diffraction patterns. arXiv:1804.00803v1 [physics.comp-ph] 3 Apr 2018 1. Unlike the original history-dependent formulation based on the plastic strain distri-

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“…Both solutions make use of a coupling between DD and FEM simulations and were successfully applied to micro-and nanomaterials. [176][177][178] The problem of dislocation-GB interactions is more complex. At a low stress level, the simplest solution considering grain boundary as a nonpenetrable interface is justified and was used with success in past studies.…”

Section: -12 Gerberich Et Almentioning

confidence: 99%

Review Article: Case studies in future trends of computational and experimental nanomechanics

Tadmor

Kysar

Zimmerman

et al. 2017

Journal of Vacuum Science &Amp; Technology A: Vacuum, Surfaces, and Films

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With rapidly increasing numbers of studies of new and exotic material uses for perovskites and quasicrystals, these demand newer instrumentation and simulation developments to resolve the revealed complexities. One such set of observational mechanics at the nanoscale is presented here for somewhat simpler material systems. The expectation is that these approaches will assist those materials scientists and physicists needing to verify atomistic potentials appropriate to the nanomechanical understanding of increasingly complex solids. The five following segments from nine University, National and Industrial Laboratories both review and forecast where some of the important approaches will allow a confirming of how in situ mechanics and nanometric visualization might unravel complex phenomena. These address two-dimensional structures, temporal models for the nanoscale, atomistic and multiscale friction fundamentals, nanoparticle surfaces and interfaces a) Electronic

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

Cited by 51 publications

References 33 publications

Avalanches and plastic flow in crystal plasticity: an overview

Avalanches and plastic flow in crystal plasticity: an overview

Connecting discrete and continuum dislocation mechanics: A non-singular spectral framework

Review Article: Case studies in future trends of computational and experimental nanomechanics

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