An extended stochastic diffusion model for ternary mixtures

Anders, Denis; Weinberg, Kerstin

doi:10.1016/j.mechmat.2012.10.002

Cited by 2 publications

(3 citation statements)

References 19 publications

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“…In this case we observe two cobblestone-like phases embedded in a continuous matrix phase, see also [22]. Figure 6 shows the temporal evolution of the overall concentrations c A , c B and c C for different interfacial energy contributions.…”

Section: Results Of the Three-dimensional Simulationsmentioning

confidence: 80%

“…In this way it is guaranteed that the exponents in our rate law are always positive as it was introduced in the general formalism (22). By means of relations (28)-(30) we are able to give a consistent representation of the generalized chemical reaction ratesJ j and the scaled stoichiometric coefficients v kj .…”

Section: Thermodynamical Model For Reaction-diffusion Systemsmentioning

confidence: 92%

“…On the one hand, chemical reactions alter the local concentrations of their reactants and products, following the concentration dependent rate law (22). On the other hand, diffusion decreases the spatial gradients of concentration profiles in such a manner that mass transport takes place from regions of high concentration to regions of smaller concentration values.…”

Section: Thermodynamical Model For Reaction-diffusion Systemsmentioning

confidence: 99%

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A Chemo-Mechanical Model of Diffusion in Reactive Systems

Weinberg

Werner

Anders

2018

Entropy

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Abstract:The functional properties of multi-component materials are often determined by a rearrangement of their different phases and by chemical reactions of their components. In this contribution, a material model is presented which enables computational simulations and structural optimization of solid multi-component systems. Typical Systems of this kind are anodes in batteries, reactive polymer blends and propellants. The physical processes which are assumed to contribute to the microstructural evolution are: (i) particle exchange and mechanical deformation; (ii) spinodal decomposition and phase coarsening; (iii) chemical reactions between the components; and (iv) energetic forces associated with the elastic field of the solid. To illustrate the capability of the deduced coupled field model, three-dimensional Non-Uniform Rational Basis Spline (NURBS) based finite element simulations of such multi-component structures are presented.

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Section: Results Of the Three-dimensional Simulationsmentioning

confidence: 80%

Section: Thermodynamical Model For Reaction-diffusion Systemsmentioning

confidence: 92%

Section: Thermodynamical Model For Reaction-diffusion Systemsmentioning

confidence: 99%

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A Chemo-Mechanical Model of Diffusion in Reactive Systems

Weinberg

Werner

Anders

2018

Entropy

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A Thermodynamically Consistent Approach to Phase-Separating Viscous Fluids

Anders

Weinberg

2018

Journal of Non-Equilibrium Thermodynamics

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The de-mixing properties of heterogeneous viscous fluids are determined by an interplay of diffusion, surface tension and a superposed velocity field. In this contribution a variational model of the decomposition, based on the Navier–Stokes equations for incompressible laminar flow and the extended Korteweg–Cahn–Hilliard equations, is formulated. An exemplary numerical simulation using {C}^{1}-continuous finite elements demonstrates the capability of this model to compute phase decomposition and coarsening of the moving fluid.

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An extended stochastic diffusion model for ternary mixtures

Cited by 2 publications

References 19 publications

A Chemo-Mechanical Model of Diffusion in Reactive Systems

A Chemo-Mechanical Model of Diffusion in Reactive Systems

A Thermodynamically Consistent Approach to Phase-Separating Viscous Fluids

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