A phase-field study of elastic stress effects on phase separation in ternary alloys

Sugathan, Sandeep; Bhattacharyya, Saswata

doi:10.1016/j.commatsci.2019.109284

Cited by 20 publications

(12 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The greater the quench depth (or χ i j ), smaller the λ sp . Elastic interactions can also affect the compositional history and coarsening kinetics of SDSD microstructure phases that can be simulated, for example, using microelastic classes of phase-field models [64,[86][87][88]. The mechanical behavior of the resulting patterns can be estimated using a finite element [89] or finite volume [90] based analysis of the representative microdomains.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Impact of Particle Arrays on Phase Separation Composition Patterns

Ghosh,

Mukherjee,

Arroyave

et al. 2020

Preprint

View full text Add to dashboard Cite

We examine the symmetry-breaking effect of fixed constellations of particles on the surface-directed spinodal decomposition of binary blends in the presence of particles whose surfaces have a preferential affinity for one of the components. Our phase-field simulations indicate that the phase separation morphology in the presence of particle arrays can be tuned to have a continuous, droplet, lamellar, or hybrid morphology depending on the interparticle spacing, blend composition, and time. In particular, when the interparticle spacing is large compared to the spinodal wavelength, a transient target pattern composed of alternate rings of preferred and non-preferred phases emerge at early times, tending to adopt the symmetry of the particle configuration. We reveal that such target patterns stabilize for certain characteristic length, time, and composition scales characteristic of the pure phase separating mixture. To illustrate the general range of phenomena exhibited by mixture-particle systems, we simulate the effects of single-particle, multi-particle, and cluster-particle systems having multiple geometrical configurations of the particle characteristic of pattern substrates on phase separation. Our simulations show that tailoring the particle configuration, or substrate pattern configuration, a relative fluid-particle composition should allow the desirable control of the phase separation morphology as in block copolymer materials, but where the scales accessible to this approach of organizing phase-separated fluids usually are significantly larger. Limited experiments confirm the trends observed in our simulations, which should provide some guidance in engineering patterned blend and other mixtures of technological interest.

show abstract

Section: Discussionmentioning

confidence: 99%

“…We use a dimensionless Cahn-Hilliard [44] based ternary free energy functional [51,64] that describes the evolution of a threecomponent, three-phase system (i.e., A-rich α, B-rich β , and C-rich γ) following the leading order expansion,…”

Section: A Ternary Phase-field Modelmentioning

confidence: 99%

Impact of Particle Arrays on Phase Separation Composition Patterns

Ghosh,

Mukherjee,

Arroyave

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…where J i is the total flux of each component in the system. We adopt a formulation that incorporates the net vacancy flux coupled with a Gibbs-Duhem relation as elaborated by Raghavan et al [47] and others [59][60][61][62] to derive the temporal evolution of the A and B-rich phases,…”

Section: Ternary Cahn-hilliard Modelmentioning

confidence: 99%

Quantifying Microstructural Evolution via Time-Dependent Reduced-Dimension Metrics Based on Hierarchical $n$-Point Polytope Functions

Chen,

Raghavan,

Zheng

et al. 2021

Preprint

View full text Add to dashboard Cite

We devise reduced-dimension metrics for effectively measuring the distance between two points (i.e., microstructures) in the microstructure space and quantifying the pathway associated with microstructural evolution, based on a recently introduced set of hierarchical n-point polytope functions Pn. The Pn functions provide the probability of finding particular n-point configurations associated with regular n-polytopes in the material system, and a special sub-set of the standard n-point correlation functions Sn that effectively decomposes the structural features in the systems into regular polyhedral basis with different symmetry. The n-th order metric Ωn is defined as the L1 norm associated with the Pn functions of two distinct microstructures. By choosing a reference initial state (i.e., a microstructure associated with t0 = 0), the Ωn(t) set quantifies the evolution of distinct polyhedral symmetries and can in principle capture emerging polyhedral symmetries that are not apparent in the initial state. To demonstrate their utility, we apply the Ωn metrics to a 2D binary system undergoing spinodal decomposition to extract the phase separation dynamics via the temporal scaling behavior of the corresponding Ωn(t), which reveals mechanisms governing the evolution. Moreover, we employ Ωn(t) to analyze pattern evolution during vapor-deposition of phase-separating alloy films with different surface contact angles, which exhibit rich evolution dynamics including both unstable and oscillating patterns. The Ωn metrics have potential applications in establishing quantitative processing-structure-property relationships, as well as real-time processing control and optimization of complex heterogeneous material systems.

show abstract

“…Yet, despite these advances, there is still limited understanding in one of the most fundamental aspects of ternary fluid phase separation: how to predict and characterise the different possible distinct morphologies and phase separation pathways as function of the fluid composition. To provide insights, surprisingly, works to date have primarily relied on a simple linear stability analysis to demarcate the ternary phase diagram into regions with zero, one and two positive eigenvalues [34,39,43]. As we will demonstrate here, considering only the sign of the eigenvalues do not allow qualitative, let alone quantitative, predictions for the separation pathways.…”

Section: Introductionmentioning

confidence: 97%

Spontaneous Phase Separation of Ternary Fluid Mixtures

Shek¹,

Kusumaatmaja²

2022

Preprint

View full text Add to dashboard Cite

We computationally study the spontaneous phase separation of ternary fluid mixtures using the lattice Boltzmann method, both when all the surface tensions are equal and when they have different values. Previous theoretical works typically rely on analysing the sign of the eigenvalues resulting from a simple linear stability analysis, but we find this does not explain the fluid morphologies observed. Here, by combining systematic computer simulations over the full range of the composition space and theoretical analysis on the eigenvalues and eigenvectors of the unstable modes, we identify four fundamental phase separation pathways. In particular, we highlight a dominant but so-far overlooked mechanism involving enrichment and instability of the minor component at the fluidfluid interface.

show abstract

A phase-field study of elastic stress effects on phase separation in ternary alloys

Cited by 20 publications

References 52 publications

Impact of Particle Arrays on Phase Separation Composition Patterns

Impact of Particle Arrays on Phase Separation Composition Patterns

Quantifying Microstructural Evolution via Time-Dependent Reduced-Dimension Metrics Based on Hierarchical $n$-Point Polytope Functions

Spontaneous Phase Separation of Ternary Fluid Mixtures

Contact Info

Product

Resources

About