This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena.

In particular, it addresses:

1: the impacts of effective dissipation due to kinetic energy trapped at lower scales

2: wave propagation in generalized continua

3: nonlinear phenomena in metamaterials

4: the formalization of more general models to describe the exotic behavior of meta-materials

5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials

Francesco dellIsola has been a Full Professor at the Department of Structure and Geotechnical Engineering, Sapienza University of Rome (Italy) since 2006, and a Full Professor at the Department of Civil Engineering (DICEAA), University of LAquila (Italy) since 2016. In 2016, he also became Director of the International Research Center M&MoCS (University of LAquila). Since 2015, he has been the Responsible Italian Scientific Expert at the Laboratoire International Associé (LIA) Coss&Vita, a French-Italian international laboratory. His research activities chiefly focus on the synthesis and design of metamaterials, and on generalized models in continuum mechanics.
Igumnov Leonid Aleksandrovich - Doctor of Physical and Mathematical Sciences, Professor, Director of the Research Institute for Mechanics, Head of the Department of Theoretical, Computer and Experimental Mechanics of  National Research Lobachevsky State University of Nizhny Novgorod.  He is Honorary Worker of Science and Technology of the Russian Federation. His research interests include models of the mechanics of damaged medium; methods for assessing the strength and service life of materials and structures under quasistatic and cyclic loading conditions with account for the fields of various physical nature; experimental and theoretical approach to studying the dynamics and failure of materials subjected to high-speed loading.

1. Modeling fatigue life of structural alloys under block asymmetric loading.- 2. Excitation of the waves with a focused source, moving along the border of gradient-elastic half-space.- 3.  On the spectrum of relaxation times in coupled diffusion and rheological processes in metal al-loys.- 4. Finite element method study of the protection damping elements dynamic deformation.- 5. Analyzing the problem of a spherical cavity expansion in a medium with Mohr-Coulomb-Tresca's plasticity condition.