Review on nonlocal continuum mechanics: physics, material applicability, and mathematics
The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …
number of particles each of which is a point that can only move and interact with its nearest …
Towards a unified approach to nonlocal elasticity via fractional-order mechanics
This study presents a fractional-order continuum mechanics approach that allows combining
selected characteristics of nonlocal elasticity, typical of classical integral and gradient …
selected characteristics of nonlocal elasticity, typical of classical integral and gradient …
Conforming and nonconforming laminated finite element Kirchhoff nanoplates in bending using strain gradient theory
M Bacciocchi, N Fantuzzi, AJM Ferreira - Computers & Structures, 2020 - Elsevier
This paper presents a comprehensive numerical finite element implementation of the
nonlocal strain gradient theory applied to thin laminated composite nanoplates using …
nonlocal strain gradient theory applied to thin laminated composite nanoplates using …
Derivation of microstructured continua from lattice systems via principle of virtual works: the case of masonry-like materials as micropolar, second gradient and …
P Trovalusci, A Pau - Acta Mechanica, 2014 - Springer
The description of the mechanical behaviour of brick/block masonry through equivalent
continua is presented here as a paradigmatic example of the problem of gross modelling of …
continua is presented here as a paradigmatic example of the problem of gross modelling of …
Statistical assessment of in-plane masonry panels using limit analysis with sliding mechanism
Historical masonry structures have a great interest in civil engineering because they
constitute a large part of the world's building heritage. In this paper, the effects that different …
constitute a large part of the world's building heritage. In this paper, the effects that different …
[HTML][HTML] Discrete and continuous approaches for the failure analysis of masonry structures subjected to settlements
M Pepe, M Sangirardi, E Reccia, M Pingaro… - Frontiers in Built …, 2020 - frontiersin.org
Numerical modeling of masonry structures is nowadays still an active research field, and this
is partly due to a number of open issues related to preservation and restoration of historical …
is partly due to a number of open issues related to preservation and restoration of historical …
Variable-order approach to nonlocal elasticity: Theoretical formulation, order identification via deep learning, and applications
This study presents the formulation of the variable-order continuum mechanics theory and its
application to the analysis of nonlocal heterogeneous solids. The variable-order continuum …
application to the analysis of nonlocal heterogeneous solids. The variable-order continuum …
Deformation of atomic models and their equivalent continuum counterparts using Eringen's two-phase local/nonlocal model
The aim of this contribution is to formulate equivalent continuum finite element model for two-
dimensional atomic arrays under plane-stress condition, based on Eringen's two phase …
dimensional atomic arrays under plane-stress condition, based on Eringen's two phase …
[HTML][HTML] Anisotropic continuum-molecular models: a unified framework based on pair potentials for elasticity, fracture and diffusion-type problems
V Diana - Archives of Computational Methods in Engineering, 2023 - Springer
This paper presents a unified framework for continuum-molecular modeling of anisotropic
elasticity, fracture and diffusion-based problems within a generalized two-dimensional …
elasticity, fracture and diffusion-based problems within a generalized two-dimensional …
[HTML][HTML] Torsional characteristics of carbon nanotubes: Micropolar elasticity models and molecular dynamics simulation
Efficient application of carbon nanotubes (CNTs) in nano-devices and nano-materials
requires comprehensive understanding of their mechanical properties. As observations …
requires comprehensive understanding of their mechanical properties. As observations …