Three-dimensional grayscale-free topology optimization using a level-set based r-refinement method

2017 ◽  
Vol 112 (10) ◽  
pp. 1402-1438 ◽  
Author(s):  
Shintaro Yamasaki ◽  
Seiichiro Yamanaka ◽  
Kikuo Fujita
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Three Dimensional ◽  
Refinement 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.

Cavitation optimization of a throttle orifice plate based on three-dimensional genetic algorithm and topology optimization

2019 ◽  
Vol 60 (3) ◽  
pp. 1227-1244 ◽  
Author(s):  
Tengfei Tang ◽  
Longlong Gao ◽  
Baoren Li ◽  
Lihui Liao ◽  
Yi Xi ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Topology Optimization ◽  
Three Dimensional ◽  
Orifice Plate ◽  
And Topology
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