Generalized shape optimization without homogenization

1992 ◽  
Vol 4 (3-4) ◽  
pp. 250-252 ◽  
Author(s):  
G. I. N. Rozvany ◽  
M. Zhou ◽  
T. Birker
Keyword(s):  
Shape Optimization ◽  
Generalized Shape Optimization

Generalized shape optimization using stress constraints under multiple load cases

1998 ◽  
Vol 15 (3-4) ◽  
pp. 269-274 ◽  
Author(s):  
W. M. Payten ◽  
M. Law
Keyword(s):  
Shape Optimization ◽  
Stress Constraints ◽  
Multiple Load Cases ◽  
Generalized Shape Optimization ◽  
Multiple Load

Microstructure Design with Generalized Shape Optimization Based on Level Set Geometrical Description and X-FEM

2010 ◽  
Vol 37-38 ◽  
pp. 662-666
Author(s):  
Ke Peng Qiu ◽  
Wei Hong Zhang
Keyword(s):  
Shape Optimization ◽  
Level Set ◽  
Energy Method ◽  
Homogenization Method ◽  
Microstructure Design ◽  
Design Variables ◽  
Generalized Shape Optimization ◽  
Mesh Work ◽  
Periodic Microstructures ◽  
Physically Identical

In this paper, the microstructures with extreme properties are designed through the generalized shape optimization, which is implemented with the help of the smooth curves representation of the level set description and the numerical analyses of the eXtended Finite Element Method (X-FEM) with the fixed mesh work. The parameters of basic level set features are defined as the design variables. To calculate the given effective computation of microstructures, the energy method and homogenization method are physically identical. But the energy method is advantageous in computing efficiency and numerical implementation. Combining with the CONLIN algorithm, the periodic microstructures with the maximum elastic properties are obtained with the flexibility of handling the topological changes and solid-void boundaries. Numerical examples show the great interests in the microstructure design with the level set method and X-FEM.

Layout and Generalized Shape Optimization by Iterative COC Methods

1993 ◽  
pp. 103-120 ◽  
Author(s):  
G. I. N. Rozvany ◽  
M. Zhou
Keyword(s):  
Shape Optimization ◽  
Generalized Shape Optimization

Generalized shape optimization of three-dimensional structures using materials with optimum microstructures

1998 ◽  
Vol 28 (1-4) ◽  
pp. 207-225 ◽  
Author(s):  
Jørgen Bay Jacobsen ◽  
Niels Olhoff ◽  
Erik Rønholt
Keyword(s):  
Shape Optimization ◽  
Three Dimensional ◽  
Generalized Shape Optimization

scholarly journals Topology and generalized shape optimization: Why stress constraints are so important?

2008 ◽  
Vol 2 (4) ◽  
pp. 253-258 ◽  
Author(s):  
P. Duysinx ◽  
L. Van Miegroet ◽  
E. Lemaire ◽  
O. Brüls ◽  
M. Bruyneel
Keyword(s):  
Shape Optimization ◽  
Stress Constraints ◽  
Generalized Shape Optimization
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