ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Oct. 25, 2024
Abstract
In
this
study,
a
refined
plate
theory
by
considering
stretching
effects
extended
to
investigation
of
quasi‐3D
size‐dependent
buckling
analysis
functionally
graded
simply
supported
nanoplate
integrated
with
piezoelectric
face‐sheets
resting
on
orthotropic
foundation
taking
into
account
the
surface
effects.
The
power
law
is
used
calculate
material
properties
in
core
which
non‐homogeneous
are
continuously
changing
along
thickness.
Due
consideration
materials
and
due
asymmetry
distribution
core,
middle
plane
neutral
do
not
coincide.
Hence,
consider
reference
plane,
concept
considered.
kinematics
formulated
nonlocal
higher
order
shear
deformation
based
strain
gradient
theory.
Additionally,
effect
modeled
piezo‐elasticity
To
check
accuracy
efficiency
current
model,
comprehensive
validation
comparative
study
has
been
conducted
results
obtained
found
previous
literature.
Finally,
investigate
various
parameters,
including
different
foundations,
residual
stress,
effects,
effect,
surface,
aspect
ratio,
thickness
nanlocal
parameter,
length
scale
index,
initial
voltage,
examined
critical
load
details.
It
expected
that
should
be
utilized
designing
micro/nano‐electro‐mechanical
systems
components
smart
nanostructures.
Mathematics,
Journal Year:
2025,
Volume and Issue:
13(5), P. 764 - 764
Published: Feb. 26, 2025
The
hygrothermal
deformation
of
nanocomposite
piezoelectric
plates
containing
internal
pores
lying
on
elastic
foundations
is
illustrated
in
this
paper
by
utilizing
a
novel
quasi-3D
plate
theory
(Q3DT).
This
has
been
strengthened
functionally
graded
graphene
platelets
(FG
GPLs).
For
the
purpose
identifying
FG
porous
materials,
four
alternative
patterns
porosity
distribution
are
employed,
with
first
pattern
having
uniform
and
others
an
uneven
one.
material
properties
reinforced
estimated
based
Halpin–Tsai
model.
From
proposed
virtual
work
principle,
basic
differential
equations
derived.
Levy
method
used
to
convert
deduced
partial
ordinary
ones.
quadrature
(DQM)
as
fast-converging
utilized
solve
these
for
various
boundary
conditions.
minimal
number
grid
points
needed
obtain
converging
solution
found
introducing
convergence
study.
After
validating
obtained
results
studies
other
researchers,
study’s
findings
provided
tabularly
graphically
numerous
comprehensive
discussions
examine
impact
factors
responding
system.
Mechanics of Advanced Materials and Structures,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 22
Published: May 17, 2024
This
paper
demonstrates
a
thorough
examination
of
the
bending
behavior
sandwich
concrete
building
structures
that
are
reinforced
with
graphene
nanoplatelets
(GPLs).
The
analysis
is
confirmed
using
machine
learning
technique.
Sandwich
have
notable
benefits
in
terms
strength,
longevity,
and
thermal
insulation,
making
them
well-suited
for
many
applications.
Integrating
GPLs
into
matrix
improves
mechanical
characteristics
performance
these
structures,
especially
behavior.
study
utilizes
technique
to
verify
characterization
temporary
structure
nanoplatelets.
approach
dataset
consisting
simulated
data
create
prediction
model
can
reliably
estimate
response
under
different
loading
situations.
algorithm's
effectiveness
dependability
optimizing
design
demonstrated
through
validation
against
results.
provides
engineers
designers
powerful
tool.
enhances
comprehension
use
approaches
analyzing
designing
sophisticated
structural
materials
systems.
Mechanics Based Design of Structures and Machines,
Journal Year:
2023,
Volume and Issue:
52(7), P. 3842 - 3869
Published: May 11, 2023
Nonlinear
bending
of
functionally
graded
metal/graphene
(FGMG)
sandwich
rectangular
plate
with
metal
foam
core
resting
on
nonlinear
elastic
foundations
is
elucidated
in
this
article.
A
new
shear
deformation
theory
presented
to
formulate
the
displacement
field.
The
partial
differential
equations
considering
small
size
effect
are
established
via
principle
virtual
work.
nonlinearity
considered
by
using
Von
Karman's
strain-displacement
relations.
While,
captured
employing
modified
couple
stress
theory.
upper
and
lower
layers
made
aluminum
as
a
matrix
that
reinforced
graphene
platelets
(GPLs).
GPLs
through
thickness
face
according
cosine
rule.
Moreover,
also
containing
porosities
uniformly
distributed
or
thickness.
governing
solved
based
Galerkin
Newton's
methods.
obtained
results
examined
introducing
some
comparison
examples.
In
addition,
several
parametric
examples
discussed
including
effects
porosity
type,
distribution
core-to-face
thickness,
foundation
stiffness,
side-to-thickness
ratio,
aspect
ratio
material
length
scale
parameter
deflection
stresses
FGMG
core.
Nondestructive Testing And Evaluation,
Journal Year:
2025,
Volume and Issue:
unknown, P. 1 - 29
Published: Jan. 17, 2025
This
paper
presents
a
pioneering
application
of
the
meshfree
moving
Kriging
(MK)
method
in
conjunction
with
improved
first-order
shear
deformation
theory
(i-FSDT)
to
study
vibration
behaviour
functionally
graded
sandwich
(FGSW)
plates
hard-core
sandwiched
between
two
FG
skin
layers
placed
on
Kerr
foundation
(KF).
One
significant
advantage
MK
interpolation
is
its
Kronecker
delta
property,
which
allows
for
direct
enforcement
boundary
conditions
(BCs).
Unlike
original
method,
this
approach
eliminates
need
pre-define
correlation
parameter,
might
affect
approximation
accuracy.
The
governing
equation
was
obtained
using
Hamilton's
concept.
Matlab
code-based
Newmark-β
used
solve
motion
FGSW
plates.
performance
and
accuracy
proposed
formula
are
verified
through
comparative
examples.
Then,
effects
geometrical
dimensions,
material
properties,
BCs
examined
detail.
Mechanics Based Design of Structures and Machines,
Journal Year:
2023,
Volume and Issue:
52(8), P. 5435 - 5456
Published: Sept. 9, 2023
AbstractThe
growing
use
of
light
composite
materials
in
different
industries
such
as
automotive
and
aerospace
has
caused
the
need
for
more
studies
to
analyze
their
behavior.
In
this
study,
an
analytical
solution
nonlinear
forced
vibrational
behavior
a
multilayered
superlight
beam
with
honeycomb
core
layer
adjustable
Poisson's
ratio
subjected
harmonic
excitation
been
presented.
The
two
isotropic
upper
lower
layers
one
layer.
can
be
adjusted
by
changing
cell
parameters
range
negative
positive
values.
equations
motion
have
extracted
using
first-order
shear
deformation
theory
von
Kármán
relations.
are
system
coupled
partial
differential
that
solved
perturbation
technique.
To
investigate
effect
geometry
on
response,
parametric
study
conducted.
nonlinearity
chaotic
primary
resonance
is
studied.
finite
element
method
used
compare
results.
It
observed
adding
layer,
total
weight
dropped
about
50%
while
dynamic
responses
nearly
remain
same.Keywords:
L
Nonlinear
responseHarmonic
excitationComposite
auxetic
corePerturbation
techniqueAdjustable
Disclosure
statementThe
authors
declare
they
no
known
competing
financial
interests
or
personal
relationships
could
appeared
influence
work
reported
paper.
Mechanics Based Design of Structures and Machines,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 28
Published: Aug. 20, 2024
This
article
presents
a
novel
investigation
of
the
free
vibration
behavior
functionally
graded
carbon
nanotube-reinforced
composite
(FG-CNTRC)
plates
under
hygrothermal
environments.
It
explores
both
uniform
and
non-uniform
(functionally
graded)
distributions
CNTs
across
plate
thickness
for
first
time.
The
effective
material
properties
CNTRC,
considering
temperature
moisture
dependence,
are
determined
using
extended
rule
mixture.
First-order
shear
deformation
theory
(FSDT)
is
employed
to
derive
governing
equations
incorporating
hygro-elastic
thermo-elastic
relations.
These
solved
finite
element
method.
A
validation
study
verifies
accuracy
approaches.
Subsequently,
comprehensive
parametric
investigates
influence
geometry
(length-to-width
width-to-thickness
ratios),
volume
fraction,
boundary
conditions,
linear
non-linear
distributions,
environments
on
polymeric
nanocomposite
reinforced
with
fillers
conducted.
results
reveal
that
increase
in
leads
decrease
stiffness
FG-CNTRC
plates.