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Phase field simulations of surface- and thermal-induced melting of finite length aluminum nanowires: size effect on the melting temperature

Mahdi Javanbakht, Shekoofeh Salehi Eskandari, Mohammad Silani, Meraj Malakoutikhah and Ahmadreza Taheri Goki
Vol. 12 (2024), No. 2, 157–172
DOI: 10.2140/memocs.2024.12.157
Abstract

In this study, melting of finite-length aluminum nanowires is investigated using a mechanics-based phase field (PF) model in which the deviatoric transformation strain provides a driving force for melting. The interface tension and variable surface energy boundary conditions (VSEBCs) are included. Evolution of the melt solution is obtained by solving the coupled system of Ginzburg–Landau equation for melting, elasticity equations and a kinetic equation for deviatoric transformation strain using COMSOL multiphysics software. Melting temperature is calculated for various nanowire lengths and radii which shows a good agreement with molecular dynamics (MD) and analytical data. Effect of the VSEBCs and insulation boundary conditions (IBCs) on melting temperature is investigated, which revealed that the variable surface energy (VSE) is the main factor in dependence of the melting temperature on the nanowire length. The deviatoric transformation strain also shows a length-dependent effect on the melting temperature. The obtained results help for a better understanding of melting mechanism of nanowires and their thermal applications.

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Keywords
finite length nanowire, phase field, deviatoric strain, surface energy boundary conditions, size dependent melting temperature
Mathematical Subject Classification
Primary: 74A15, 74A25, 74A50, 74N10, 74N20
Secondary: 35Q74
Milestones
Received: 11 June 2023
Revised: 11 January 2024
Accepted: 10 February 2024
Published: 7 May 2024

Communicated by Emilio Barchiesi
Authors
Mahdi Javanbakht
Department of Mechanical Engineering
Isfahan University of Technology
Isfahan
Iran
Shekoofeh Salehi Eskandari
Department of Mechanical Engineering
Isfahan University of Technology
Isfahan
Iran
Mohammad Silani
Department of Mechanical Engineering
Isfahan University of Technology
Isfahan
Iran
Meraj Malakoutikhah
Department of Mechanical Engineering
Isfahan University of Technology
Isfahan
Iran
Ahmadreza Taheri Goki
Department of Mechanical Engineering
Isfahan University of Technology
Isfahan
Iran
© 2024 MSP (Mathematical Sciences Publishers).