Intermittent Dislocation Density Fluctuations in Crystal Plasticity from a Phase-Field Crystal Model

Tarp, Jens M.; Angheluta, Luiza; Mathiesen, Joachim; Goldenfeld, Nigel

doi:10.1103/physrevlett.113.265503

Cited by 14 publications

(13 citation statements)

References 26 publications

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“…The plasticity of small-scale crystals under load is characterized by intermittent strain bursts and dislocation avalanches [1][2][3][4][5][6][7]. This complex response with scale-free fluctuations lies squarely outside of classical continuum plasticity theory, which assumes coarse-grained volumes containing many defects and hence is valid on macroscopic scales.…”

mentioning

confidence: 99%

“…The phase field crystal model (PFC) is a leading contender for the efficient mesoscale modeling of crystallization phenomena [9,21] and dislocation motion [6,[22][23][24]. With a diffusive evolution of the PFC density field, the existing PFC formulations are not adequate models of small-scale crystal plasticity, when lacking a consistent separation of timescales between the fast relaxation of the elastic (smooth) distortions and the slow dynamics of crystal defects associated with singular distortions.…”

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confidence: 99%

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Separation of Elastic and Plastic Timescales in a Phase Field Crystal Model

2018

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A consistent small-scale description of plasticity and dislocation motion in a crystalline solid is presented based on the phase field crystal description. By allowing for independent mass motion and lattice distortion, the crystal can maintain elastic equilibrium on the timescale of plastic motion. We show that the singular (incompatible) strains are determined by the phase field crystal density, while the smooth distortions are constrained to satisfy elastic equilibrium. A numerical implementation of the model is presented and used to study a benchmark problem: the motion of an edge dislocation dipole in a triangular lattice. The time dependence of the dipole separation agrees with continuum elasticity with no adjustable parameters.

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Separation of Elastic and Plastic Timescales in a Phase Field Crystal Model

2018

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“…The PFC community has extended the scope of the model tremendously over the years, and we just mention few of the recent remarkable developments here. Hydrodynamics have been included 3 , as well as growth from vapor phases 4 , dislocation dynamics 5 , and glass formation 6 , and recently also polycrystalline 2D materials, in particular graphene 7 . General structural transformations became accessible by constructing free energy functionals from generic two-particle correlation functions 8 .…”

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confidence: 99%

Nonlinear elastic effects in phase field crystal and amplitude equations: Comparison toab initiosimulations of bcc metals and graphene

et al. 2016

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We investigate non-linear elastic deformations in the phase field crystal model and derived amplitude equations formulations. Two sources of non-linearity are found, one of them based on geometric non-linearity expressed through a finite strain tensor. It reflects the Eulerian structure of the continuum models and correctly describes the strain dependence of the stiffness. In general, the relevant strain tensor is related to the left Cauchy-Green deformation tensor. In isotropic oneand two-dimensional situations the elastic energy can be expressed equivalently through the right deformation tensor. The predicted isotropic low temperature non-linear elastic effects are directly related to the Birch-Murnaghan equation of state with bulk modulus derivative K = 4 for bcc. A two-dimensional generalization suggests K 2D = 5. These predictions are in agreement with ab initio results for large strain bulk deformations of various bcc elements and graphene. Physical nonlinearity arises if the strain dependence of the density wave amplitudes is taken into account and leads to elastic weakening. For anisotropic deformations the magnitudes of the amplitudes depend on their relative orientation to the applied strain.

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“…Tabel 7. Dislokasi density (159)(160)(161)(162)(163)(164)(165) dari Ba(OH)2 https://www.researchgate.net/publication/321938507_SYNTHESIS_AND_CHARACTERIZATION_OF_ BARIUM_HYDROXIDE_NANOPARTICLES_RHEPZI_PRAMILA_DEVAMANI_M Grafik 1. Perbandingan ukuran partikel dengan dislokasi densitas Ba(OH)2 (24; 166-179) https://www.researchgate.net/publication/321938507_SYNTHESIS_AND_CHARACTERIZATION_ OF_BARIUM_HYDROXIDE_NANOPARTICLES_RHEPZI_PRAMILA_DEVAMANI_M…”

Section: Viskositas Dan Densitasmentioning

confidence: 99%

A Review Ba(OH)2 : Transpor Ionik pada Barium Hidroksida di dalam Air dengan Konsep Termodinamika

Yanti¹,

Zainul²

2018

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Barium hidroksida dikenal dengan nama lain yaitu air barit. Barium hidroksida merupakan kristal monoklinik yang tidak bewarna, meleleh pada suhu 78 0C, larut dalam air dan tidak larut dalam aseton. Senyawa ini biasa digunakan sebagai bahan untuk membuat sabun, penyabunan lemak, dan sintesis organik. Penelitian ini bertujuan untuk menganalis interaksi molekular dan kinetik barium hidroksida. Metode yang digunakan yaitu permodelan dengan menggunakan ChemOffice 15.0. Barium hidroksida mempunyai kelarutan 101.4 g/100 ml (100℃). Pada analisa menggunakan Chemoffice didapat panjang ikatan barium hidroksida adalah 2.620 0A, peregangan: 1.3403, torsi : 0,000, bend : 496.3657, total energi : 494.9578 kcal/mol. Barium hidroksida mempunyai kelarutan 101.4 g/100 ml (100℃). Di dalam air ion barium akan tersolfasi (terbungkus) oleh molekul air, sehingga memungkinkan terjadinya transpor ionik. Parameter yang dapat diukur dalam transpor ionik ini adalah kecepatan hanyut, bilangan transportdan gerakan ionik. Barium hidroksida mempunyai termokimia pada fase cair dengan ΔH = -944.7 kj/mol. Hal ini menunjukkan bahwa pada proses adsorpsi pada zat barium hidroksida berlangsung secara spontan pada reaksi eksoterm dengan gangguan yang kecil terhadap sistem .Viskositas dan densitas dari barium hidroksida ini masing-masingnya yaitu 1.150. 10-2 g/cm-1 dan 1.064 g/cm3.

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Intermittent Dislocation Density Fluctuations in Crystal Plasticity from a Phase-Field Crystal Model

Cited by 14 publications

References 26 publications

Separation of Elastic and Plastic Timescales in a Phase Field Crystal Model

Separation of Elastic and Plastic Timescales in a Phase Field Crystal Model

Nonlinear elastic effects in phase field crystal and amplitude equations: Comparison toab initiosimulations of bcc metals and graphene

A Review Ba(OH)2 : Transpor Ionik pada Barium Hidroksida di dalam Air dengan Konsep Termodinamika

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