Waves in Random and Complex Media,
Journal Year:
2022,
Volume and Issue:
unknown, P. 1 - 47
Published: March 28, 2022
The
bi-stability
characteristics
of
the
post-buckled
plates
have
demonstrated
extensive
potential
applications
for
energy
harvesting
and
vibration
isolation.
In
this
article,
at
first,
thermal
post-buckling,
nonlinear
bending,
behavior
functionally
graded
(FG)
circular
nanoplates
in
bifurcation
buckling
are
investigated
according
to
nonlocal
elasticity
theory.
Then,
static/dynamic
snapping
phenomena
free
responses
thermally
nanoplate
subjected
static
sudden
types
mechanical
load
presented.
For
aim,
equations
motion
conjunction
with
von-Kármán
nonlinearity
geometrical
imperfection
established
framework
Hamilton's
principle.
addition,
two
distinct
cases
temperature
distribution
as
well
edge
conditions
taken
into
consideration.
discretized
using
Chebyshev-Ritz
procedure
along
three
different
numerical
algorithms.
To
evaluate
dynamic
snap-through
buckling,
Newmark
time
integration
scheme
is
adopted.
Next,
by
means
Budiansky-Roth
criterion
phase-plane
approach,
loads
identified.
A
set
parametric
studies
presented
provide
an
insight
influences
parameter,
imperfection,
gradient
index,
supports
on
nanosystem.
Mathematics,
Journal Year:
2022,
Volume and Issue:
10(23), P. 4429 - 4429
Published: Nov. 24, 2022
In
the
present
study,
buckling
problem
of
nonhomogeneous
microbeams
with
a
variable
cross-section
is
analyzed.
The
microcolumn
considered
in
this
study
made
functionally
graded
materials
longitudinal
direction
and
varies
continuously
throughout
axial
direction.
Bernoulli–Euler
beam
theory
conjunction
modified
strain
gradient
are
employed
to
model
structure
by
considering
size
effect.
Rayleigh–Ritz
numerical
solution
method
used
solve
eigenvalue
for
various
conditions.
influences
changes
Young’s
modulus,
dependency,
non-classical
boundary
conditions
examined
detail.
It
observed
that
effect
becomes
more
pronounced
smaller
sizes
differences
between
classical
loads
increase
increasing
taper
ratios.
Composite Structures,
Journal Year:
2024,
Volume and Issue:
334, P. 117969 - 117969
Published: Feb. 15, 2024
In
the
current
investigation,
for
first
time,
changes
in
limit
loads
and
equilibrium
branches
associated
with
nonlinear
in-plane
stability
characteristics
of
curved
microbeams
are
explored
presence
different
microstructural
gradient
tensors.
this
regard,
multiple
microsize-dependent
equilibria
analyzed
relevant
to
thermomechanical
loaded
small-curved,
medium-curved,
large-curved
made
functionally
graded
porous
(FGP)
metal
reinforced
nanofillers
possessing
clamped
end
supports.
To
purpose,
based
upon
strain
elasticity
within
framework
third-order
shear
flexible
beam
model,
isogeometric
collocation
formulations
incorporating
Greville
abscissae
constructed
resulting
higher-continuity
characters
as
well
remarkable
accuracy
higher-order
approximations.
It
is
deduced
that
small-curved
FGP
microbeam,
no
load
can
be
found
due
absence
buckling
phenomenon,
but
after
rising
temperature
by
an
enough
amount,
initial
instability
mode
appears.
However,
medium-curved
occurs
which
results
normalized
upper
equal
0.7161
on
classical
theory
0.7606
(6.21%
enhancement).
Also,
it
lower
0.3060
0.3521
(15.07%
On
other
hand,
bifurcation
1.0494
1.1358
(8.23%
0.2225
0.2513
(12.94%
International Journal of Smart and Nano Materials,
Journal Year:
2022,
Volume and Issue:
13(3), P. 391 - 431
Published: June 28, 2022
With
the
development
and
applications
of
nano-electro-mechanical
systems,
academic
interest
in
mechanical
behavior
piezoelectric
structures
at
nanoscale
is
increasing.
Interesting
unconventional
phenomena
have
been
observed
either
experimentally
or
through
molecular
dynamics
simulation.
The
most
common
also
important
one
size-dependent
characteristics.
Classical
continuum
mechanics
with
necessary
modifications
has
proven
to
be
very
powerful
explaining
these
particular
characteristics
a
relatively
simple
theoretical
framework.
This
article
reviews
recent
advances
understanding
dynamic
responses
nanostructures
from
viewpoint
modified
mechanics.
Particular
attentions
are
paid
three
advanced
theories
piezoelectricity
(e.g.
gradient
piezoelectricity,
surface
nonlocal
piezoelectricity)
their
abilities
predict
vibration
wave
devices
nanoscale.
could
serve
as
useful
reference
for
future
research
on
design
multifield
couplings.
Mechanics of Advanced Materials and Structures,
Journal Year:
2023,
Volume and Issue:
31(18), P. 4352 - 4373
Published: April 7, 2023
The
free
vibration
of
two-directional
functionally
graded
(2D-FG)
thick
curved
nanobeam
with
concentrated
mass
is
investigated
for
various
boundary
conditions.
Hamilton's
principle
employed
to
develop
the
governing
equations
2D-FG
using
first-order
shear
deformation
theory
(FSDT).
small
scale
effect
captured
by
nonlocal
elasticity
Eringen.
in
transverse
and
circumferential
directions
nanobeam.
system
are
obtained
as
three
coupled
partial
differential
non-constant
coefficients.
An
appropriate
meshless
formulation
developed
discretize
based
on
local
weak
radial
basis
function.
presented
method
study
one-directional
functional
nanobeams.
Simple-simple,
free-free,
clamped-clamped,
clamped-free
edge
conditions
investigated.
Moreover,
an
analytical
solution
simple-simple
transversely
1D-FG
In
numerical
results,
natural
frequencies
mode
shapes
shadow
deep
studied
influence
effective
parameters
such
parameter,
FG
power
indexes,
opening
angle,
conditions,
It
seen
that
locking
eliminated
present
formulation.
Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials,
Journal Year:
2023,
Volume and Issue:
145, P. 106023 - 106023
Mechanics of Time-Dependent Materials,
Journal Year:
2024,
Volume and Issue:
28(3), P. 1873 - 1908
Published: July 5, 2024
Abstract
This
research
addresses
the
three-dimensional
thermomechanical
wave
propagation
behavior
in
sandwich
composite
nanoplates
with
a
metamaterial
honeycomb
core
layer
and
double
functionally
graded
(FG)
ultra-stiff
surface
layers.
Due
to
its
potential
for
high-temperature
applications,
pure
nickel
(Ni)
is
preferred
layer,
an
Al
2
O
3
/Ni
ceramic-metal
matrix
The
functional
distribution
of
graphene
platelets
(GPLs)
three
different
patterns,
Type-U,
Type-X,
Type-O,
metal-ceramic
power
law
provides
double-FG
properties
mechanical
thermal
material
characteristics
layers,
as
well
reinforcing
GPLs,
are
temperature-dependent.
pattern
temperature
variation
over
plate
thickness
considered
be
nonlinear.
nanoplate’s
motion
equations
obtained
by
combining
sinusoidal
higher-order
shear
deformation
theory
(SHSDT)
nonlocal
integral
elasticity
strain
gradient
theories.
established
using
Hamilton’s
principle.
Parametric
simulations
graphical
representations
performed
analyze
effects
size
variables,
number,
index,
GPL
pattern,
weight
ratio,
rise
on
plate.
results
analysis
reveal
that
3D
nanoplate
can
significantly
modified
or
tuned
depending
desired
parameters
conditions.
Thus,
proposed
structure
expected
provide
essential
contributions
radar/sonar
stealth
applications
air,
space,
submarine
vehicles
high
low-temperature
environments,
protection
microelectromechanical
devices
from
noise
vibration,
soft
robotics
wearable
health
protective
equipment
applications.
