Coupled phase field and nonlocal integral elasticity analysis of stress-induced martensitic transformations at the nanoscale: boundary effects, limitations and contradictions

Danesh, Hooman; Javanbakht, Mahdi; Barchiesi, Emilio; Hamila, Nahiene

doi:10.1007/s00161-021-01042-y

Cited by 5 publications

(2 citation statements)

References 102 publications

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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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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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“…In the field of metamaterials, a good understanding of the influence of microscopic constituents on overall behavior has indeed proven to be crucial. Such an understanding can be obtained by means of coarse-grained continuum models informed from the micro-structure, such as second [25][26][27][28] or higher [29][30][31] displacement gradient models, micromorphic models [32][33][34][35], and non-local integral models [36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results

Turco

Barchiesi

Dell’Isola

2021

Mathematics and Mechanics of Solids

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In this contribution, a previously introduced discrete model for studying the statics of duoskelion beam-like structures is extended to dynamics. The results of numerical simulations performed using such an extended model are reported to discuss the in-plane dynamic buckling of duoskelion structures under different loading and kinematic boundary conditions. The core instrument of the analysis is a discrete beam element, which, in addition to flexure, also accounts for extension and shearing deformations. Working in the setting of dynamics, inertial contributions are taken into account as well. A stepwise time integration scheme is employed to reconstruct the complete trajectory of the system, namely before and after buckling. It is concluded that the duoskelion structure exhibits exotic features compared with classical beam-like structures modeled at macro-scale by Euler–Bernoulli’s model.

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Editorial for the IWCMM29 special issue

Božić

Schmauder

Öterkuş

et al. 2023

Continuum Mech. Thermodyn.

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Coupled phase field and nonlocal integral elasticity analysis of stress-induced martensitic transformations at the nanoscale: boundary effects, limitations and contradictions

Cited by 5 publications

References 102 publications

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

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

In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results

Editorial for the IWCMM29 special issue

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