scholarly journals A Level Set-Based Topology Optimization Method Using the Augmented Lagrangian Method

2011 ◽  
Vol 6 (2) ◽  
pp. 387-399
Author(s):  
Shintaro YAMASAKI ◽  
Tsuyoshi NOMURA ◽  
Atsushi KAWAMOTO ◽  
Kazuo SATO ◽  
Kazuhiro IZUI ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Augmented Lagrangian ◽  
Augmented Lagrangian Method ◽  
Optimization Method ◽  
Lagrangian Method ◽  
Topology Optimization Method

Displacement and Stress Constrained Topology Optimization

2013 ◽  
Author(s):  
Meisam Takalloozadeh ◽  
Krishnan Suresh
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Topology Optimization ◽  
Level Set ◽  
Numerical Experiments ◽  
Optimization Method ◽  
Stress Constraints ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Topology Optimization Method

The objective of this paper is to demonstrate a topology optimization method subject to displacement and stress constraints. The method does not rely on pseudo-densities; instead it exploits the concept of topological level-set where ‘partial’ elements are avoided. Consequently: (1) the stresses are well-defined at all points within the evolving topology, and (2) the finite-element analysis is robust and efficient. Further, in the proposed method, a series of topologies of decreasing volume fractions are generated in a single optimization run. The method is illustrated through numerical experiments in 2D.

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