Lattice-based nonlocal elastic structural models -- Eringen’s nonlocal integral elasticity and applications for structural models -- Nonlocal mechanics in the framework of the general nonlocal theory -- Displacement based nonlocal models for size effect simulation in nanomechanics -- One-dimensional well-posed nonlocal elasticity models for finite domains -- Iterative nonlocal residual elasticity -- Nonlocal gradient mechanics of elastic beams under torsion -- Reformulation of the boundary value problems of nonlocal type elasticity: application to beams -- Application of combined nonlocal and surface elasticity theories to vibration response of a graded nanobeam -- Finite element nonlocal integral elasticity approach -- ‘Explicit’ and ‘implicit’ non-local continuum descriptions: plate with circular hole -- Micromorphic continuum theory: finite element analysis of 3D elasticity with applications in beam- and plate-type structures -- Peridynamic modeling of laminated composites -- Nonlocal approaches to the dynamics of metamaterials -- Gradient Extension of Classical Material Models: From Nuclear & Condensed Matter Scales to Earth & Cosmological Scales.

This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.