scholarly journals Shape and Topology Optimization in Stokes Flow with a Phase Field Approach

2015 ◽  
Vol 73 (1) ◽  
pp. 23-70 ◽  
Author(s):  
Harald Garcke ◽  
Claudia Hecht
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Stokes Flow ◽  
Shape And Topology Optimization ◽  
Field Approach ◽  
And Topology

Shape and topology optimization of acoustic lens system using phase field method

2017 ◽  
Vol 56 (3) ◽  
pp. 713-729 ◽  
Author(s):  
Quang Dat Tran ◽  
Gang-Won Jang ◽  
Hyu-Sang Kwon ◽  
Wan-Ho Cho
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Field Method ◽  
Phase Field Method ◽  
Lens System ◽  
Shape And Topology Optimization ◽  
Acoustic Lens ◽  
And Topology

Development of a novel phase-field method for local stress-based shape and topology optimization

2014 ◽  
Vol 132 ◽  
pp. 84-98 ◽  
Author(s):  
Seung Hyun Jeong ◽  
Gil Ho Yoon ◽  
Akihiro Takezawa ◽  
Dong-Hoon Choi
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Local Stress ◽  
Field Method ◽  
Phase Field Method ◽  
Shape And Topology Optimization ◽  
And Topology

scholarly journals Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids

2015 ◽  
Vol 37 (4) ◽  
pp. A1846-A1871 ◽  
Author(s):  
Harald Garcke ◽  
Claudia Hecht ◽  
Michael Hinze ◽  
Christian Kahle
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Numerical Approximation ◽  
Shape And Topology Optimization ◽  
And Topology

scholarly journals Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach

2021 ◽  
Vol 11 (1) ◽  
pp. 159-197
Author(s):  
Harald Garcke ◽  
Paul Hüttl ◽  
Patrik Knopf
Keyword(s):  
Phase Field ◽  
Necessary Optimality Conditions ◽  
Elastic Structure ◽  
Shape And Topology Optimization ◽  
Field Approach ◽  
First Order ◽  
Global Minimizers ◽  
And Topology ◽  
Topology Changes ◽  
Multi Phase

Abstract A cost function involving the eigenvalues of an elastic structure is optimized using a phase-field approach, which allows for topology changes and multiple materials.We show continuity and differentiability of simple eigenvalues in the phase-field context. Existence of global minimizers can be shown, for which first order necessary optimality conditions can be obtained in generic situations. Furthermore, a combined eigenvalue and compliance optimization is discussed.

scholarly journals Shape and topology optimization of a permanent-magnet machine under uncertainties

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Piotr Putek ◽  
Roland Pulch ◽  
Andreas Bartel ◽  
E Jan W ter Maten ◽  
Michael Günther ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Permanent Magnet ◽  
Permanent Magnet Machine ◽  
Shape And Topology Optimization ◽  
And Topology
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