Shape optimization of periodic-microstructures for stiffness maximization of a macrostructure

2021 ◽  
pp. 113873
Author(s):  
Minami Fujioka ◽  
Masatoshi Shimoda ◽  
Musaddiq Al Ali
Keyword(s):  
Shape Optimization ◽  
Periodic Microstructures

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.

On resolving fine periodic microstructures in the optical microscope

1989 ◽  
Vol 47 ◽  
pp. 364-365
Author(s):  
W.S. Putnam ◽  
C. Viney
Keyword(s):  
Liquid Crystalline ◽  
Numerical Aperture ◽  
Polarized Light ◽  
Normal Incidence ◽  
Optical Microscope ◽  
Angle Of Incidence ◽  
Resolution Limit ◽  
Crystalline Materials ◽  
Periodic Microstructures ◽  
Liquid Crystalline Materials

Many sheared liquid crystalline materials (fibers, films and moldings) exhibit a fine banded microstructure when observed in the polarized light microscope. In some cases, for example Kevlar® fiber, the periodicity is close to the resolution limit of even the highest numerical aperture objectives. The periodic microstructure reflects a non-uniform alignment of the constituent molecules, and consequently is an indication that the mechanical properties will be less than optimal. Thus it is necessary to obtain quality micrographs for characterization, which in turn requires that fine detail should contribute significantly to image formation.It is textbook knowledge that the resolution achievable with a given microscope objective (numerical aperture NA) and a given wavelength of light (λ) increases as the angle of incidence of light at the specimen surface is increased. Stated in terms of the Abbe resolution criterion, resolution improves from λ/NA to λ/2NA with increasing departure from normal incidence.

Shape Optimization of Combo Sensor using Quartz Crystal Resonator for Liquid Analysis

2016 ◽  
Vol 136 (8) ◽  
pp. 343-347 ◽  
Author(s):  
Ryo Sakai ◽  
Hiroaki Imai ◽  
Masayuki Sohgawa ◽  
Takashi Abe
Keyword(s):  
Shape Optimization ◽  
Quartz Crystal ◽  
Quartz Crystal Resonator ◽  
Crystal Resonator

Response surface techniques for diffuser shape optimization

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1512-1518 ◽  
Author(s):  
Jens I. Madsen ◽  
Wei Shyy ◽  
Raphael T. Haftka
Keyword(s):  
Shape Optimization ◽  
Response Surface
Sign in / Sign up

Export Citation Format

Share Document