On the inverse homogenization problem of linear composite materials

2001 ◽  
Vol 28 (6) ◽  
pp. 421-423 ◽  
Author(s):  
Werner S. Weiglhofer
Keyword(s):  
Composite Materials ◽  
Inverse Homogenization ◽  
Homogenization Problem ◽  
Linear Composite

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.

scholarly journals MAKING USE OF SYMMETRIES IN THE THREE-DIMENSIONAL ELASTIC INVERSE HOMOGENIZATION PROBLEM

2019 ◽  
Vol 17 (3) ◽  
pp. 261-280 ◽  
Author(s):  
C. Méndez ◽  
J.M. Podestá ◽  
S. Toro ◽  
Alfredo E. Huespe ◽  
J. Oliver
Keyword(s):  
Three Dimensional ◽  
Inverse Homogenization ◽  
Homogenization Problem
Sign in / Sign up

Export Citation Format

Share Document