A mathematically rigorous sensitivity analysis of homogenization is presented that is used to identify optimal forging rates in processes that would lead to a desired microstructure response.
The VAR and MVAR models were based on rigorous linear comparison composite (LCC) homogenization methods, which can describe the evolution of microstructure of porous materials, represented by the void volume fraction, the aspect ratios and the orientations of general ellipsoidal voids.
Frozen plant tissue was ground and proteins were extracted with rigorous vortexing in 4 ml of homogenization buffer per gram fresh weight.
Based on this, the effective elastic properties of cracked materials are determined through a rigorous up-scaling procedure using three different homogenization schemes, and taking into account interactions between the initial material anisotropy and induced cracks.
These homogenization methods offer a systematic and rigorous treatment of up-scaling the properties from the micro or nanoscale to the macroscales.
It is found that rigorous electrodynamic models that are not based on homogenization of composites can be effectively used in modeling devices with metamaterials.
The macroscopic strength properties of a purely cohesive soil reinforced by a periodic distribution of "stone columns" made of a highly frictional granular material are investigated in a rigorous way on the basis of the yield design homogenization approach.
This paper offers a new approach to computational homogenization in dissipative electro-mechanics based on a rigorous exploitation of rate-type and incremental variational principles, governing the scale bridging between micro- and macroscales.
Asymptotic homogenization is an efficient and versatile multi-scale technique that allows to obtain within a rigorous setting the effective material response, even for complex micro-structural geometries.
