J1202-1-1 A Topology Optimization Method Based on the Level Set Method and Concept of the Phase-Field Method

2010 ◽  
Vol 2010.7 (0) ◽  
pp. 293-294
Author(s):  
Takayuki YAMADA ◽  
Kazuhiro IZUI ◽  
Shinji NISHIWAKI
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Phase Field ◽  
Optimization Method ◽  
Field Method ◽  
Phase Field Method ◽  
Topology Optimization Method

scholarly journals Visualization of Cavity Regions by Hammering Test Using the Level Set Type Topology Optimization Based on the Concept of the Phase Field Method

2021 ◽  
Vol 70 (1) ◽  
pp. 41-48
Author(s):  
Kenta YOSHIHARA ◽  
Takahiko KURAHASHI ◽  
Yuki MURAKAMI ◽  
Shigehiro TOYAMA ◽  
Fujio IKEDA ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Phase Field ◽  
Field Method ◽  
Phase Field Method

Level Set-Based Topology Optimization Method for Thermal Problems Considering Design-Dependent Boundary Effects

2009 ◽  
Author(s):  
Takayuki Yamada ◽  
Shinji Nishiwaki ◽  
Atsuro Iga ◽  
Kazuhiro Izui ◽  
Masataka Yoshimura
Keyword(s):  
Field Theory ◽  
Topology Optimization ◽  
Level Set ◽  
Phase Field ◽  
Three Dimensional ◽  
Optimization Method ◽  
Interface Energy ◽  
Total Potential ◽  
Level Set Function ◽  
Topology Optimization Method

This paper proposes a new level set-based topology optimization method for thermal problems that deal with generic heat transfer boundaries including design-dependent boundary conditions, based on the level set method and the concept of the phase field theory. First, a topology optimization method using a level set model incorporating a fictitious interface energy derived from the concept of the phase field theory is briefly discussed. Next, a generic optimization problem for thermal problems is formulated based on the concept of total potential energy. An optimization algorithm that uses the Finite Element Method when solving the equilibrium equation and updating the level set function is then constructed. Finally, several three-dimensional numerical examples are provided to confirm the utility and validity of the proposed topology optimization method.

3301 A topology optimization method based on the level set method Using shell elements

2014 ◽  
Vol 2014.24 (0) ◽  
pp. _3301-1_-_3301-3_
Author(s):  
Kenta YAMAGATA ◽  
Takayuki YAMADA ◽  
Kazuhiro IZUI ◽  
Shinji NISHIWAKI ◽  
Atsushi KAWAMOTO
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Optimization Method ◽  
Shell Elements ◽  
Topology Optimization Method

Simulation of polymer jet motion during melt blowing with phase field method

2021 ◽  
pp. 152808372110066
Author(s):  
Xibo Hao ◽  
Zhiying Zhao ◽  
Jing Wei
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Phase Field ◽  
Present Model ◽  
Air Flow ◽  
Polymer Surface ◽  
Field Method ◽  
Phase Field Method ◽  
Melt Blowing ◽  
The Past

In the past two decades, a number of models have been built to simulate the motion of polymer jet during melt blowing. Unfortunately, the complex interaction between polymer jet and air flow field has been rarely reported. In this work, a phase-field method was applied to simulate the coupling effects between polymer and air flow during melt blowing and the computed results were compared with the results of the model built through level-set method and experimental results. Velocity in the x direction, velocity in the y direction, whipping amplitude and diameter of polymer jet were discussed, respectively. It was found that the velocity predicted by the present model was higher than that predicted by the level-set method. However, both of them are close to the experimental value. The calculated final fiber diameter based on the phase-field method is much closer with the experimental value than that based on the level set method. Based on the model, the effect of polymer surface tension and slot angle on the polymer jet velocity were discussed.

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