Systematic Design of Compliant Morphing Structures: A Phase-Field Approach

被引：0

作者：

Shabani, Jamal ^{[1
]}

Bhattacharya, Kaushik ^{[2
]}

Bourdin, Blaise ^{[1
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

[2] CALTECH, Pasadena, CA USA

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2025年 / 91卷 / 02期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

Topology optimization; Phase-field method; Optimal design; Responsive materials; TOPOLOGY OPTIMIZATION; SHAPE; TRANSITIONS;

D O I：

10.1007/s00245-025-10237-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the systematic design of compliant morphing structures composed of materials reacting to an external stimulus. We add a perimeter penalty term to ensure existence of solutions. We propose a phase-field approximation of this sharp interface problem, prove its convergence as the regularization length approaches 0 and present an efficient numerical implementation. We illustrate the strengths of our approach through a series of numerical examples.

引用

页数：19

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