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

This study revisits Timoshenko beam theory (TBT). It discusses at depth a more consistent
and simpler governing differential equation. The so-called second spectrum is also …

Both naturally-occurring and man-made materials are often heterogeneous materials formed
of various constituents with different properties and behaviours. Studies are usually carried …

Elastic wave propagation in a three-layered plate with high-contrast mechanical and
geometric properties of the layers is analysed. Four specific types of contrast arising in …

This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …

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

This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of
rods, plates and shells with constrained shear are based on asymptotic splitting of the …

Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions
comprehensively covers the theoretical background of asymptotic approaches and their use …

Abstract Intrinsic Localized Modes (ILMs) are defined as localizations due to strong intrinsic
nonlinearity within an array of perfect, periodically repeating oscillators. Such nonlinear …

The author wishes to describe the development of singular perturbations, including its
history, accumulating literature, and its current status, as he (somewhat personally) …