This paper is devoted to an overview of the basic properties of the Padé transformation and
its generalizations. The merits and limitations of the described approaches are discussed …

This survey is devoted to recent achievements in the field of asymptotic approaches. Here
we consider the asymptotics in relation to completely new and sometimes unexpected …

Implications of the negative Poisson ratio with regard to the quasi-static and dynamic
indentation compliances for isotropic homogeneous materials are considered. It has been …

In the recent years new classes of ultra-dispersive and nanocrystalline materials 1–3, which
require a different modern approach than that of a classical continuous media, have been …

This monograph describes some approaches to the nonlinear theory of plates and shells. By
nonclassical approaches we mean the desciption of problems with mathematical models of …

This book uses asymptotic methods to obtain simple approximate analytic solutions to
various problems within mechanics, notably wave processes in heterogeneous materials …

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 …

Among the theoretical methods for solving many problems of applied mathematics, physics,
and technology, asymptotic methods often provide results that lead to obtaining more …

The axisymmetric frictionless indentation problem for an isotropic elastic half-space with the
uniform surface tension is considered. The first-order regular and singular asymptotic …

The present study takes an analytical approach for solving the free vibration problem of a
microstructured beam model, in which transverse displacement springs are added to allow …