Polygonal finite elements for topology optimization: A unifying paradigm

2009 ◽  
Vol 82 (6) ◽  
pp. 671-698 ◽  
Author(s):  
Cameron Talischi ◽  
Glaucio H. Paulino ◽  
Anderson Pereira ◽  
Ivan F. M. Menezes
Keyword(s):  
Topology Optimization ◽  
Finite Elements ◽  
Polygonal Finite Elements

An Evolutionary Multi-Objective Optimization Approach to the Topology Optimization of Auxetic Structures

2002 ◽  
Author(s):  
Ashraf O. Nassef
Keyword(s):  
Topology Optimization ◽  
Elastic Modulus ◽  
Finite Elements ◽  
Multiobjective Optimization ◽  
Poisson Ratio ◽  
Optimization Approach ◽  
Multi Objective Optimization ◽  
Finite Elements Analysis ◽  
Multi Objective ◽  
Auxetic Structures

Auxetic structures are ones, which exhibit an in-plane negative Poisson ratio behavior. Such structures can be obtained by specially designed honeycombs or by specially designed composites. The design of such honeycombs and composites has been tackled using a combination of optimization and finite elements analysis. Since, there is a tradeoff between the Poisson ratio of such structures and their elastic modulus, it might not be possible to attain a desired value for both properties simultaneously. The presented work approaches the problem using evolutionary multiobjective optimization to produce several designs rather than one. The algorithm provides the designs that lie on the tradeoff frontier between both properties.

Polygonal finite elements for incompressible fluid flow

2013 ◽  
Vol 74 (2) ◽  
pp. 134-151 ◽  
Author(s):  
Cameron Talischi ◽  
Anderson Pereira ◽  
Glaucio H. Paulino ◽  
Ivan F.M. Menezes ◽  
Márcio S. Carvalho
Keyword(s):  
Fluid Flow ◽  
Finite Elements ◽  
Incompressible Fluid ◽  
Incompressible Fluid Flow ◽  
Polygonal Finite Elements

scholarly journals Functional data approximation on bounded domains using polygonal finite elements

2018 ◽  
Vol 63 ◽  
pp. 149-163 ◽  
Author(s):  
Juan Cao ◽  
Yanyang Xiao ◽  
Zhonggui Chen ◽  
Wenping Wang ◽  
Chandrajit Bajaj
Keyword(s):  
Finite Elements ◽  
Functional Data ◽  
Bounded Domains ◽  
Data Approximation ◽  
Polygonal Finite Elements
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