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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.
List of contents
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 e ect 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.
