Shape and Topology Optimization of Elastic Contact Problems using the Piecewise Constant Level Set Method

2012 ◽  
Author(s):  
A. Myslinski
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Contact Problems ◽  
Constant Level ◽  
Elastic Contact ◽  
Piecewise Constant ◽  
Shape And Topology Optimization ◽  
And Topology

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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