A fast shape transformation using a phase-field model

被引：11
|
作者：
Kim, Hyundong [1 ]
Lee, Chaeyoung [1 ]
Yoon, Sungha [2 ]
Choi, Yongho [3 ]
Kim, Junseok [1 ]
机构：
[1] Korea Univ, Dept Math, Seoul 02841, South Korea
[2] Ewha Womans Univ, Inst Math Sci, Seoul 03760, South Korea
[3] Daegu Univ, Dept Math & Big Data, Gyongsan 38453, Gyeongsangbuk D, South Korea
来源：
EXTREME MECHANICS LETTERS | 2022年 / 52卷
基金：
新加坡国家研究基金会;
关键词：
Stable scheme; Finite difference method; Shape transformation; NEGATIVE POISSONS RATIO; AUXETIC STRUCTURE; CASTING PROCESS; SIMULATION; METAMATERIALS; OPTIMIZATION; DESIGN; DEFORMATION;
D O I：
10.1016/j.eml.2022.101633
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We propose a numerical method for a fast shape transformation using a phase-field model. The governing equation is based on the modified Allen-Cahn (AC) equation. We numerically solve the equation by using the operator splitting technique. The alternating direction explicit (ADE) finite difference method is used to reduce the strict temporal step constraint when solving the diffusion term. Therefore, we can use a large temporal step size to simulate a fast shape transformation. The reaction term is solved by the separation of variables, and the fidelity term is solved using the semi implicit scheme with a frozen coefficient. To demonstrate that the proposed method can simulate the fast shape transformation with simple or complex sources and targets, we perform several numerical experiments in the three-dimensional space. The computational experiments demonstrate that the shape transformation is fast and smooth. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：8
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