Nonlocal integral elasticity based phase field modelling and simulations of nanoscale thermal- and stress-induced martensitic transformations using a boundary effect compensation kernel

Danesh, Hooman; Javanbakht, Mahdi; Mirzakhani, Sam

doi:10.1016/j.commatsci.2021.110429

Cited by 9 publications

(1 citation statement)

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“…The phase field model has emerged as a powerful tool for numerical prediction of evolution processes in materials. It has been successfully applied to simulate the evolution of microstructures with complex morphologies in a wide variety of material processes such as, grain growth, [10][11][12][13][14][15] martensitic transformation, [16][17][18][19][20][21] solidification, [22][23][24][25][26][27][28] crack propagation problems, [29][30][31][32][33][34] ferrofluids, [35] and so on. The significant characteristic of phase-field methods is the diffuseness of the interface between two phases.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the Dielectric Breakdown in a Polycrystalline Ferroelectric: A Phase‐Field Simulation Study

Khondabi

Ahmadvand

Javanbakht

2022

Advcd Theory and Sims

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To understand the dielectric breakdown in a polycrystalline ferroelectric, a thorough phase field simulation has been performed by introducing a new degradation function. Time and position evolution of breakdown path, electric field dependence of breakdown time, and the effect of several parameters such as grain orientation, dielectric constant of grain and grain‐boundaries (GBs), thickness of GBs (dGB${d}_{\text{GB}}$), and grain size (Gnormala${G}_{\text{a}}$) on the threshold breakdown electric field, EBT${E}_{\text{BT}}$, are investigated. The results indicate that EBT${E}_{\text{BT}}$ is improved with decreasing dielectric constant. The dependence of EBT${E}_{\text{BT}}$ on grain size and GB's thickness obeys a power function Gnormala−n${G}_{\text{a}}^{-n}$ (n=0.42$n=0.42$) and dGBn${d}_{\text{GB}}^{n}$ (n=0.3$n=0.3$), respectively. The results help to engineer the grains and GBs properties and achieve a high breakdown electric field, which is very important in energy‐storage applications.

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