A review of size-dependent continuum mechanics models for micro-and nano-structures
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …
debate, which leads to a fundamental question: what steps can be taken to investigate the …
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 …
A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes
Recent research studies on the application of the nonlocal continuum theory in modeling of
carbon nanotubes and graphene sheets are reviewed, and substantial nonlocal continuum …
carbon nanotubes and graphene sheets are reviewed, and substantial nonlocal continuum …
Nonlocal plate model for free vibrations of single-layered graphene sheets
Vibration analysis of single-layered graphene sheets (SLGSs) is investigated using nonlocal
continuum plate model. To this end, Eringens's nonlocal elasticity equations are …
continuum plate model. To this end, Eringens's nonlocal elasticity equations are …
Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories
In this paper the free vibration behaviors of the nanoplate made of functionally graded
materials with small scale effects are investigated. To study the small scale effects on natural …
materials with small scale effects are investigated. To study the small scale effects on natural …
Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures
Insight into the mechanical characteristics of nanoscopic structures is of fundamental interest
and indeed poses a great challenge to the research communities around the world. These …
and indeed poses a great challenge to the research communities around the world. These …
Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates
This paper presents an effective and simple computational formulation based on
isogeometric analysis (IGA) and generalized higher-order shear deformation theory …
isogeometric analysis (IGA) and generalized higher-order shear deformation theory …
Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics
Buckling response of orthotropic single layered graphene sheet (SLGS) is investigated
using the nonlocal elasticity theory. Two opposite edges of the plate are subjected to linearly …
using the nonlocal elasticity theory. Two opposite edges of the plate are subjected to linearly …
Vibration analysis of viscoelastic orthotropic nanoplates resting on viscoelastic medium
The vibration characteristics of a simply supported viscoelastic nanoplate are studied using
the nonlocal plate theory by including the effect of viscoelastic foundation. The material …
the nonlocal plate theory by including the effect of viscoelastic foundation. The material …
Nonlocal elasticity theory for thermal buckling of nanoplates lying on Winkler–Pasternak elastic substrate medium
In the present work, thermal buckling of single-layered graphene sheets lying on an elastic
medium is analyzed. For this purpose, the sinusoidal shear deformation plate theory in …
medium is analyzed. For this purpose, the sinusoidal shear deformation plate theory in …