scholarly journals A Finite Element Removal Method for 3D Topology Optimization

2013 ◽  
Vol 5 ◽  
pp. 413463 ◽  
Author(s):  
M. Akif Kütük ◽  
İbrahim Göv
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Removal Method ◽  
Element Removal Method ◽  
3D Topology ◽  
Element Removal

ELEMENT REMOVAL METHOD FOR SINGULAR MINIMIZERS IN PROBLEMS OF HYPERELASTICITY

1995 ◽  
Vol 05 (03) ◽  
pp. 387-399 ◽  
Author(s):  
ZHIPING LI
Keyword(s):  
Finite Element ◽  
Numerical Method ◽  
Lavrentiev Phenomenon ◽  
Removal Method ◽  
Finite Element Approximations ◽  
Element Removal Method ◽  
Element Removal ◽  
Admissible Functions ◽  
Singular Minimizers

A numerical method called element removal method is applied to calculate singular minimizers in problems of hyperelasticity. The method overcomes the difficulty in finite element approximations caused by restrictions, such as det (I+∇u)>0, on admissible functions and can avoid Lavrentiev phenomenon if it does occur in the problem. The convergence of the method is proved.

Element removal method for singular minimizers in variational problems involving Lavrentiev phenomenon

1992 ◽  
Vol 439 (1905) ◽  
pp. 131-137 ◽  
Keyword(s):  
Numerical Methods ◽  
Numerical Method ◽  
Numerical Experiments ◽  
Variational Problems ◽  
Lavrentiev Phenomenon ◽  
Removal Method ◽  
Element Removal Method ◽  
Element Removal ◽  
Singular Minimizers

A numerical method called element removal method is designed to calculate singular minimizers which cannot be approximated by simple applications of standard numerical methods because of the so-called Lavrentiev phenomenon. The convergence of the method is proved. The results of numerical experiments show that the method is effective.

Graph-based element removal method for topology synthesis of beam based ground structures

2017 ◽  
Vol 57 (4) ◽  
pp. 1809-1813 ◽  
Author(s):  
Francesco Danzi ◽  
James M. Gibert ◽  
Giacomo Frulla ◽  
Enrico Cestino
Keyword(s):  
Removal Method ◽  
Element Removal Method ◽  
Element Removal ◽  
Ground Structures
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