Phase-field models
A numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations
... the phase-field approach to cohesive fracture, a second auxiliary field must be introduced that captures the displacement jump (Verhoosel and de Borst, ...the phase field and the ...
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Phase Field Models of Two-Fluid Flow in a Capillary Tube and Hele-Shaw Cell.
... The models for two-fluid capillary tube flow, described by ...on phase field principles. Phase field models have been gaining popularity as a way to model moving interfaces in ...
122
An energy stable time integrator for phase field models
... with phase-field models are controlled by dif- ferent time scales as they evolve, and each regime may be orders of mag- nitude different from the ...the phase-field crystal ...
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An analysis of two classes of phase field models for void growth and coarsening in irradiated crystalline solids
... The field-theoretic models can be further classified into two categories, sharp- and diffuse-interface ...diffuse-interface models, also called the phase field models, consider ...
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Phase field models on evolving surfaces
... valued phase field variable to model superconductivity and in 1958 Cahn and Hilliard [1958] Cahn and Hilliard published their seminal paper utilising a thermodynamic formulation to account for the inclusion ...
135
Bracket formalism applied to phase field models of alloy solidification
... simple phase field model of solidification and then extends to include a thermal ...multi phase and multi species models of alloy ...single phase and multiphase model to include ...flow ...
12
Phase-field models for the approximation of the willmore functional and flow*,**
... the phase-field model (1) at fixed parameter ε has been studied in [9] with a volume constraint fixing the average of u, and in [10] with both volume and area ...the phase field system (1) as ...
10
Phase-field models for brittle and cohesive fracture
... the weak form of the phase eld problem, with C the penalty weight and δ d (x n ) is the Dira funtion entred at Γ d . A rak set S was then dened, whih is a list of Gauss points where d = 1 . This approah has some ...
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A Combined Entropy/Phase-Field Approach to Gravity
... first phase-field concept has been proposed in unpublished work by Langer [10] and was first publicly documented by Fix [11] and Caginalp ...using phase-field models by Kobayashi [13] ...
13
Review on Phase field Simulation on PVD
... Phase-field models contain a large number of phenomenological parameters, which have to be determined in order to obtain quantitative results for real ...a phase-field ...in ...
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Computational phase field modeling
... the phase field is smooth and, as a consequence, the interfaces have a small but finite width, which is usually controlled by a length scale parameter in the ...reason, phase-field ...
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The Effect of Professional Development on Middle School Teachers' Technology Integration: An Action Research Study
... hydrodynamic phase field model is nonlinear, exemplified in its free energy, mo- bility coefficients and the advection in the transport ...PDE models exhibiting energy dissipation ...hydrodynamic ...
101
Gradient damage vs phase-field approaches for fracture: Similarities and differences
... damage models and phase-field models are seemingly very dis- parate approaches to ...damage models find their roots in damage mechanics, which is a smeared approach from the onset, and ...
24
Diffuse interface models of soluble surfactants in two phase fluid flows
... (or phase field) models to provide an alternative description of fluid/fluid ...these models, it is assumed that there is some microscale mixing of the macroscopically immiscible fluids and ...
170
Entropy and Geometric Objects
... Phase-field models [15],[16] in the last decades have gained tremendous importance in the area of describing the evolution of complex structures like ...the phase-field Φ is a ...
12
A new approach to multi-phase formulation for the solidification of alloys
... such models is that by intro- ducing a continuous (differentiable) phase variable, φ, the value of which represents the phase of the material, the need to explicitly track the solid- liquid interface ...
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A new approach to multi-phase field for the solidification of alloys
... Early phase-field models of solidification concentrated on single-phase systems, in which there was the liquid and only a single solid phase ...the phase-field concept may ...
9
On conductance-based neural field models
... mean field modeling based upon convolution operators. In these models, post-synaptic depolariza- tion is modeled as a (generally linear) convolution of pre-synaptic spiking ...
10
Phase Field Modeling of Phase Transformations in Platinum Based Alloy Nanoparticles
... A phase- fi eld model that describes the phase decomposition and phase transformations inside platinum-based alloy nanoparticles is developed to elucidate the effects of particle size, alloy ...
8