Phase-field modeling of two-dimensional crystal growth with anisotropic diffusion

ABSTRACTA ferroelectric crystal with charge-free surface conditions contains polarized domains which can form a flux closure with zero net polarization. In the presence of an external electric field, the flux closure in a two-dimensional continuum reorients its spontaneous polarization to align with the field. Based on this concept of ferroelectric switching coupled with mechanical straining, we demonstrate the working principle of a ferroelectric nano-actuator. The behavior of the actuator is explored under the action of electro-mechanical loading and its mechanism is simulated with a 2D phase-field model. The design of nano-actuator is modified to achieve greater actuation displacements by bending a thin device.

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Phase field modeling of crystal growth with nonlinear kinetics

Journal of Crystal Growth ◽

10.1016/j.jcrysgro.2011.10.032 ◽

2013 ◽

Vol 362 ◽

pp. 106-110 ◽

Cited By ~ 2

Author(s):

S.H. Liu ◽

C.C. Chen ◽

C.W. Lan

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Nonlinear Kinetics ◽

Phase Field Modeling ◽

Field Modeling

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Supplemental Material: Wide-blocky veins explained by dependency of crystal growth rate on fracture surface type: Insights from phase-field modeling

10.1130/geol.s.13584911 ◽

2021 ◽

Author(s):

Liene Spruzeniece ◽

et al.

Keyword(s):

Growth Rate ◽

Crystal Growth ◽

Fracture Surface ◽

Phase Field ◽

Numerical Approach ◽

Crystal Growth Rate ◽

Phase Field Modeling ◽

Surface Type ◽

Field Modeling ◽

Image Library

Analytical methods, description of numerical approach, image library of results, and video files of the 2-D and 3-D simulations.<br>

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Adaptive three-dimensional phase-field modeling of dendritic crystal growth with high anisotropy

Journal of Crystal Growth ◽

10.1016/j.jcrysgro.2010.11.013 ◽

2011 ◽

Vol 318 (1) ◽

pp. 51-54 ◽

Cited By ~ 22

Author(s):

H.K. Lin ◽

C.C. Chen ◽

C.W. Lan

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Three Dimensional ◽

Phase Field Modeling ◽

Dendritic Crystal ◽

Field Modeling ◽

High Anisotropy

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Wide-blocky veins explained by dependency of crystal growth rate on fracture surface type: Insights from phase-field modeling

Geology ◽

10.1130/g48472.1 ◽

2021 ◽

Author(s):

Liene Spruženiece ◽

Michael Späth ◽

Janos L. Urai ◽

Estibalitz Ukar ◽

Michael Selzer ◽

...

Keyword(s):

Crystal Growth ◽

Fracture Surface ◽

Phase Field ◽

Fluid Transport ◽

Permeability Evolution ◽

Phase Field Modeling ◽

Surface Type ◽

Field Modeling ◽

Calcite Veins ◽

Fresh Fracture

Vein microstructures contain a wealth of information on coupled chemical and mechanical processes of fracturing, fluid transport, and crystal growth. Numerical simulations have been used for exploring the factors controlling the development of vein microstructures; however, they have not been quantitatively validated against natural veins. Here we combined phase-field modeling with microtextural analysis of previously unexplained wide-blocky calcite veins in natural limestone and of the fresh fracture surface in this limestone. Results show that the wide-blocky vein textures can only be reproduced if ~10%–20% of crystals grow faster than the rest. This fraction corresponds to the amount of transgranularly broken grains that were observed on the experimental fracture surfaces, which are dominantly intergranular. We hypothesize that transgranular fractures allow faster growth of vein minerals due to the lack of clay coatings and other nucleation discontinuities that are common along intergranular cracks. Our simulation results show remarkable similarity to the natural veins and reproduce the nonlinear relationship between vein crystal width and vein aperture. This allows accurate simulations of crystal growth processes and related permeability evolution in fractured rocks.

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