The present paper provides details on the new trends in application of asymptotic
homogenization techniques to the analysis of composite materials and thin-walled …

In the course of evolution nature developed materials based on organic–inorganic
nanocomposites with complex, hierarchical organization from Angstroms to millimeters …

We present an application of the higher order asymptotic homogenization method (AHM) to
the study of wave dispersion in periodic composite materials. When the wavelength of a …

We model the elastic properties of bone at the level of mineralized collagen fibrils via step-
by-step homogenization from the staggered arrangement of collagen molecules up to an …

In this book a detailed and systematic treatment of asymptotic methods in the theory of plates
and shells is presented. The main features of the book are the basic principles of …

Singular perturbation problems are of common occurrence in all branches of applied
mathematics and engineering. These problems are encountered in various fields such as …

The goal of this study is to better understand the mathematical structure and ramifications of
the second-order homogenization of low-frequency wave motion in periodic solids. To this …

This study consists of the calculation of the effective properties for active fiber composites
made of either circular or square cross-section fibers not only by using finite element …

In the current work we examine the application of the stochastic finite element method
(SFEM) to the modeling of representative volume elements for heterogeneous materials …

Fibrous materials may undergo an internal reorganization, which turns out in the emergence
of preferential directions. This is a peculiar behavior of many biological tissues, which drive …