A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory

B Wang, S Zhou, J Zhao, X Chen - European Journal of Mechanics-A …, 2011 - Elsevier
A size-dependent Kirchhoff micro-plate model is developed based on the strain gradient
elasticity theory. The model contains three material length scale parameters, which may …

[HTML][HTML] Derivation of Mindlin's first and second strain gradient elastic theory via simple lattice and continuum models

D Polyzos, DI Fotiadis - International Journal of Solids and Structures, 2012 - Elsevier
Mindlin, in his celebrated papers of Arch. Rat. Mech. Anal. 16, 51–78, 1964 and Int. J. Solids
Struct. 1, 417–438, 1965, proposed two enhanced strain gradient elastic theories to describe …

Bone cortical thickness and porosity assessment using ultrasound guided waves: An ex vivo validation study

JG Minonzio, N Bochud, Q Vallet, Y Bala… - Bone, 2018 - Elsevier
Several studies showed the ability of the cortex of long bones such as the radius and tibia to
guide mechanical waves. Such experimental evidence has given rise to the emergence of a …

[图书][B] Waves in gradient metamaterials

AB Shvartsburg, AA Maradudin - 2013 - books.google.com
This book opens a new avenue to an engendering field of applied physics, located at the
“crossing” of modern photonics, electromagnetics, acoustics and material science. It also …

Numerical methods for ultrasonic bone characterization

E Bossy, Q Grimal - Bone quantitative ultrasound, 2011 - Springer
During the last decade the possibility of investigating the details of wave phenomena with
numerical simulation has caused an evolution of the research methodology in ultrasonic …

The strain gradient elasticity via nonlocal considerations

T Gortsas, DG Aggelis, D Polyzos - International Journal of Solids and …, 2023 - Elsevier
Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories
intensively used over the last fifty years to explain static and dynamic phenomena that …

Lamb wave extraction of dispersion curves in micro/nano-plates using couple stress theories

B Ghodrati, A Yaghootian… - Waves in Random …, 2018 - Taylor & Francis
In this paper, Lamb wave propagation in a homogeneous and isotropic non-classical
micro/nano-plates is investigated. To consider the effect of material microstructure on the …

On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity

PA Gourgiotis, HG Georgiadis, I Neocleous - Wave Motion, 2013 - Elsevier
The present work studies the propagation and reflection of plane waves in a body having the
form of a half-space. It is assumed that the mechanical response of this body is governed by …

[HTML][HTML] Torsional and SH surface waves in an isotropic and homogenous elastic half-space characterized by the Toupin–Mindlin gradient theory

PA Gourgiotis, HG Georgiadis - International Journal of Solids and …, 2015 - Elsevier
The existence of torsional and SH surface waves in a half-space of a homogeneous and
isotropic material is shown to be possible in the context of the complete Toupin–Mindlin …

Continuum modelling of frequency dependent acoustic beam focussing and steering in hexagonal lattices

G Rosi, N Auffray - European Journal of Mechanics-A/Solids, 2019 - Elsevier
Wave propagation in hexagonal lattices is characterised by a transition from isotropic to
anisotropic regime as the frequency increases. This feature cannot be observed when the …