Mechanical metamaterials

R Craster, S Guenneau, M Kadic… - Reports on Progress in …, 2023 - iopscience.iop.org
Mechanical metamaterials, also known as architected materials, are rationally designed
composites, aiming at elastic behaviors and effective mechanical properties beyond ('meta') …

Strain gradient continuum plasticity theories: theoretical, numerical and experimental investigations

GZ Voyiadjis, Y Song - International Journal of Plasticity, 2019 - Elsevier
Over the last three decades, a number of researchers have used the gradient-enhanced
plasticity theory to model the microstructural material behavior, which is not able to be …

Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material

L Li, Y Hu - International Journal of Engineering Science, 2016 - Elsevier
Abstract Size-dependent nonlinear Euler-Bernoulli and Timoshenko beam models, which
account for the through-thickness power-law variation of two-constituent functionally graded …

Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory

L Li, Y Hu, X Li - International Journal of Mechanical Sciences, 2016 - Elsevier
The longitudinal vibration analysis of small-scaled rods is studied in the framework of the
nonlocal strain gradient theory. The equations of motion and boundary conditions for the …

Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory

L Li, Y Hu, L Ling - Composite Structures, 2015 - Elsevier
An analytic model of small-scaled functionally graded (FG) beams for the flexural wave
propagation analysis is developed based on the nonlocal strain gradient theory, in which the …

On the gradient approach–relation to Eringen's nonlocal theory

EC Aifantis - International Journal of Engineering Science, 2011 - Elsevier
AC Eringen has been a most active advocate of the nonlocal theory of continua finding many
applications for it in solid, fluid, and electromagnetic media. His work is also used …

Longitudinal vibrations of nano-rods by stress-driven integral elasticity

R Barretta, SA Faghidian, R Luciano - Mechanics of Advanced …, 2019 - Taylor & Francis
In elastic continuous structures defined on bounded domains, Eringen strain-driven integral
model leads to ill-posed elastostatic problems since the constitutive stress field, got by …

[PDF][PDF] Многоуровневые модели моно-поликристаллических материалов: теория, алгоритмы, примеры применения

ПВ Трусов, АИ Швейкин - 2019 - researchgate.net
Проблема построения конститутивных моделей, позволяющих описывать поведение
материалов в широких диапазонах изменения параметров воздействия (температур …

A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier

NA Fleck, JR Willis - Journal of the Mechanics and Physics of Solids, 2009 - Elsevier
A phenomenological, flow theory version of gradient plasticity for isotropic and anisotropic
solids is constructed along the lines of Gudmundson [Gudmundson, P., 2004. A unified …

Internal length gradient (ILG) material mechanics across scales and disciplines

EC Aifantis - Advances in applied mechanics, 2016 - Elsevier
A combined theoretical/numerical/experimental program is outlined for extending the
internal length gradient (ILG) approach to consider time lags, stochasticity, and multiphysics …