scholarly journals Level set shape and topology optimization of finite strain bilateral contact problems

2017 ◽  
Vol 113 (8) ◽  
pp. 1340-1369 ◽  
Author(s):  
Matthew Lawry ◽  
Kurt Maute
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Finite Strain ◽  
Contact Problems ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Bilateral Contact

Stress-based shape and topology optimization with cellular level set in B-splines

2020 ◽  
Vol 62 (5) ◽  
pp. 2391-2407
Author(s):  
Yelin Song ◽  
Qingping Ma ◽  
Yu He ◽  
Mingdong Zhou ◽  
Michael Yu Wang
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Cellular Level ◽  
Shape And Topology Optimization ◽  
B Splines ◽  
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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