A level set method for structural shape and topology optimization using Radial Basis Function

2014 ◽  
Author(s):  
Tao Gu ◽  
Hao Li ◽  
Li Zhang ◽  
Liang Gao
Keyword(s):  
Topology Optimization ◽  
Radial Basis Function ◽  
Level Set Method ◽  
Level Set ◽  
Basis Function ◽  
Structural Shape ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Radial Basis

A semi-implicit level set method for structural shape and topology optimization

2008 ◽  
Vol 227 (11) ◽  
pp. 5561-5581 ◽  
Author(s):  
Junzhao Luo ◽  
Zhen Luo ◽  
Liping Chen ◽  
Liyong Tong ◽  
Michael Yu Wang
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Structural Shape ◽  
Shape And Topology Optimization ◽  
And Topology

Parametric Structural Shape and Topology Optimization Method With Radial Basis Functions and Level-Set Method

2006 ◽  
Author(s):  
Peng Wei ◽  
Michael Yu Wang
Keyword(s):  
Topology Optimization ◽  
Radial Basis Functions ◽  
Level Set Method ◽  
Level Set ◽  
Optimization Method ◽  
Basis Functions ◽  
Structural Shape ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Topology Optimization Method

In this paper, a parametric structural shape and topology optimization method is presented. To solving structure optimization problems, the level-set method has become a powerful design tool and been widely used in many fields. Combined with the Radial Basis Functions (RBF), which is a popular tool in function approximation, the method of level-set can be represented in a parametric way with a set of advantages comparing with the conventional discrete means. Some numerical examples are presented to illustrate its advantages.

scholarly journals Shape and topology optimization based on the convected level set method

2016 ◽  
Vol 54 (3) ◽  
pp. 659-672 ◽  
Author(s):  
Kentaro Yaji ◽  
Masaki Otomori ◽  
Takayuki Yamada ◽  
Kazuhiro Izui ◽  
Shinji Nishiwaki ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Shape And Topology Optimization ◽  
And Topology

scholarly journals A Level Set Method in Shape and Topology Optimization for Variational Inequalities

2007 ◽  
Vol 17 (3) ◽  
pp. 413-430 ◽  
Author(s):  
Piotr Fulmański ◽  
Antoine Laurain ◽  
Jean-Francois Scheid ◽  
Jan Sokołowski
Keyword(s):  
Topology Optimization ◽  
Variational Inequalities ◽  
Shape Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Energy Functional ◽  
Optimization Techniques ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Topological Derivatives

A Level Set Method in Shape and Topology Optimization for Variational InequalitiesThe level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an asymptotic analysis. The topological derivatives of the energy shape functional are employed for the topology variations in the form of small holes. The derivation of topological derivatives is performed within the framework proposed in (Sokołowski and Żochowski, 2003). Numerical results confirm that the method is efficient and gives better results compared with the classical shape optimization techniques.

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