A review of continuum mechanics models for size-dependent analysis of beams and plates
This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …
models for capturing size effects in small-scale structures. The review mainly focus on the …
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 …
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 …
propagation analysis is developed based on the nonlocal strain gradient theory, in which the …
A novel microstructure-dependent shear deformable beam model
A new size-dependent beam model is introduced on the basis of hyperbolic shear
deformation beam and modified strain gradient theory. The governing differential equations …
deformation beam and modified strain gradient theory. The governing differential equations …
Nonlinear free vibrations of bi-directional functionally graded micro/nano-beams including nonlocal stress and microstructural strain gradient size effects
Recently, advanced materials whose properties vary within a continuous pattern have been
put to use to design and manufacture modern structures. In the current investigation, size …
put to use to design and manufacture modern structures. In the current investigation, size …
Free vibration and buckling analyses of FG porous sandwich curved microbeams in thermal environment under magnetic field based on modified couple stress theory
Porous sandwich structures include different numbers of layers and are capable of
demonstrating higher values of strength to weight ratio in comparison with traditional …
demonstrating higher values of strength to weight ratio in comparison with traditional …
Nonlocal strain gradient nonlinear resonance of bi-directional functionally graded composite micro/nano-beams under periodic soft excitation
With the aid of advanced design techniques, functionally graded materials as promising new
materials can be fabricated into various micro/nano-structures to acquire stronger …
materials can be fabricated into various micro/nano-structures to acquire stronger …
State-of-the-art review of computational static and dynamic behaviors of small-scaled functionally graded multilayer shallow arch structures from design to analysis
Functionally graded multilayer shallow arch structures have gained significant attention due
to their unique mechanical properties and potential applications. This review aims to provide …
to their unique mechanical properties and potential applications. This review aims to provide …
Static bending analysis of functionally graded polymer composite curved beams reinforced with carbon nanotubes
This article deals with the static bending response of a functionally graded polymer
composite (FG-PC) curved beam reinforced with carbon nanotubes (CNTs) subjected to …
composite (FG-PC) curved beam reinforced with carbon nanotubes (CNTs) subjected to …
Bending and free vibration of functionally graded piezoelectric beam based on modified strain gradient theory
YS Li, WJ Feng, ZY Cai - Composite Structures, 2014 - Elsevier
A size-dependent functionally graded piezoelectric beam model is developed using a
variational formulation. It is based on the modified strain gradient theory and Timoshenko …
variational formulation. It is based on the modified strain gradient theory and Timoshenko …