Numerical homogenization of periodic composite materials with non-linear material components

1999 ◽  
Vol 46 (10) ◽  
pp. 1609-1637 ◽  
Author(s):  
C. Pellegrino ◽  
U. Galvanetto ◽  
B. A. Schrefler
Keyword(s):  
Composite Materials ◽  
Numerical Homogenization ◽  
Periodic Composite ◽  
Non Linear ◽  
Linear Material

An all-optical architecture of serial to parallel converter by using Kerr type of non-linear material

2010 ◽  
Vol 39 (3) ◽  
pp. 115-121 ◽  
Author(s):  
Nandita Mitra ◽  
Debajyoti Samanta ◽  
Sourangshu Mukhopadhyay
Keyword(s):  
All Optical ◽  
Non Linear ◽  
Linear Material

Consistent Hashin-Shtrikman Bounds on the Effective Properties of Periodic Composite Materials

1999 ◽  
Vol 66 (4) ◽  
pp. 858-866
Author(s):  
P. Bisegna ◽  
R. Luciano
Keyword(s):  
Composite Materials ◽  
Saddle Point ◽  
Variational Principles ◽  
Effective Properties ◽  
The Other ◽  
Constitutive Behavior ◽  
Homogenization Problem ◽  
Numerical Examples ◽  
Periodic Composites ◽  
Periodic Composite

In this paper the four classical Hashin-Shtrikman variational principles, applied to the homogenization problem for periodic composites with a nonlinear hyperelastic constitutive behavior, are analyzed. It is proved that two of them are indeed minimum principles while the other two are saddle point principles. As a consequence, every approximation of the former ones provide bounds on the effective properties of composite bodies, while approximations of the latter ones may supply inconsistent bounds, as it is shown by two numerical examples. Nevertheless, the approximations of the saddle point principles are expected to provide better estimates than the approximations of the minimum principles.

Elastic Waves in Periodic Composite Materials

1996 ◽  
pp. 143-164 ◽  
Author(s):  
M. Kafesaki ◽  
E. N. Economou ◽  
M. M. Sigalas
Keyword(s):  
Composite Materials ◽  
Elastic Waves ◽  
Periodic Composite
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