International Journal of Applied Mechanics,
Journal Year:
2022,
Volume and Issue:
14(04)
Published: April 28, 2022
Owing
to
their
superior
mechanical
properties,
functionally
graded
materials
(FGMs)
are
currently
applicable
for
many
tribological
systems,
which
increased
the
need
a
rapid
prediction
tool
of
hardness
and
wear
behavior
these
materials.
To
this
end,
paper
aims
present
empirical
equations
predict
residual
indentation
deformation
PSZ/NiCrAlY
composite
FGM
that
could
give
indication
on
material
rates
at
different
loads.
The
were
derived
two
common
gradient
laws,
power
(P-FGM)
sigmoid
(S-FGM),
based
numerical
results
obtained
validated
with
experimental
in
study.
by
simulating
experiments
using
commercial
finite
element
software
considering
all
elastic
plastic
properties.
influence
index,
law
displacement
force-indentation
response,
contact
pressure
distribution,
stains,
surface
profile
evolutions,
deformations
studied.
showed
force
larger
P-FGM
than
S-FGM
indices.
is
indices
due
higher
PSZ
ceramic
phase
area
S-FGM.
was
normalized
respect
its
value
pure
matrix
highlighted
independence
ratio
load.
Finally,
index
both
functions.
Mechanics of Advanced Materials and Structures,
Journal Year:
2023,
Volume and Issue:
31(26), P. 8113 - 8135
Published: Sept. 12, 2023
AbstractIn
the
present
exploration,
role
of
surface
stress
tensor
as
one
most
important
size
effects
at
nanoscale
in
nonlinear
dynamical
behavior
nanoplate-type
energy
piezo-harvesters
under
a
time-dependent
mechanical
actuation
is
investigated.
The
general
form
functional
associated
with
quasi-3D
nanosize
piezo-harvester
incorporating
Lame
constants
and
residual
derived.
After
that,
by
taking
Hamilton's
principle
into
consideration,
weak
continuum
mechanics-based
governing
equations
for
achieved.
Afterwards,
meshless
collocation
strategy
utilized
to
numerically
solve
established
coupled
electromechanical
elastic-based
problem
aid
implementing
combined
polynomial-kind
radial-kind
basis
functions
eliminate
any
singularity
which
may
be
observed
moment
matrices.
One
can
find
that
simply
edge
supports
owning
thickness
10,
20,
50
nm,
average
value
achieved
voltages
are
equal
84.7140,
169.4280,
423.5701
μv,
respectively.
However,
these
values
order
reduce
48.7650
μv
(−42.44%),
126.8687
(−25.12%),
386.3565
(−8.79%).
Moreover,
clamped
conventional
attained
are,
respectively,
71.9994,
143.9989,
359.9973
μv.
decrease
27.1823
(−62.25%),
83.0573
(−42.32%),
328.9342
(−8.63%),
Therefore,
it
deduced
owing
lower
more
prominent.Keywords:
Piezoelectricitysurface
tensorenergy
harvestingnanocompositescontinuum
mechanics
Disclosure
statementNo
potential
conflict
interest
was
reported
author(s).Additional
informationFundingThe
authors
extend
their
appreciation
Deanship
Research
Innovation,
Ministry
Education
Saudi
Arabia,
funding
this
research
work
through
project
number
"IFPRC-047-135-2020"
King
Abdulaziz
University,
DSR,
Jeddah,
Arabia.
Mathematics,
Journal Year:
2022,
Volume and Issue:
10(15), P. 2614 - 2614
Published: July 26, 2022
This
study
presents
a
mathematical
size-dependent
model
capable
of
investigating
the
dynamic
behavior
sandwich
perforated
nanobeam
incorporating
flexoelectricity
effect.
The
nonlocal
strain
gradient
elasticity
theory
is
developed
for
both
continuum
mechanics
and
flexoelectricity.
Closed
forms
equivalent
geometrical
variables
are
developed.
Hamiltonian
principle
exploited
to
derive
governing
equation
motion
beam
including
flexoelectric
eigen
values
derived
different
boundary
conditions.
accuracy
verified
by
comparing
obtained
results
with
available
published
results.
Parametric
studies
conducted
explore
effects
perforation
parameters,
geometric
dimensions,
nonclassical
as
well
piezoelectric
parameters
on
vibration
nanobeam.
demonstrate
that
increased
frequency
parameter
reduced
natural
due
decrease
in
stiffness
structures.
However,
structures
hence
frequency.
based
NSGT
can
be
or
decreased,
depending
ration
value
parameter.
employed
analysis
design
NEMS,
nanosensors,
nanoactuators.
Mathematics,
Journal Year:
2022,
Volume and Issue:
10(24), P. 4797 - 4797
Published: Dec. 16, 2022
This
paper
presents
for
the
first
time
a
closed-form
solution
of
dynamic
response
sigmoid
bidirectional
functionally
graded
(SBDFG)
microbeams
under
moving
harmonic
load
and
thermal
environmental
conditions.
The
formulation
is
established
in
context
modified
couple
stress
theory
to
integrate
effects
microstructure.
On
basis
elasticity
theory,
nonclassical
governing
equations
are
derived
by
using
Hamilton’s
principle
combination
with
parabolic
higher-order
shear
deformation
considering
physical
neutral
plane
concept.
Sigmoid
distribution
functions
used
describe
temperature-dependent
thermomechanical
material
bulk
continuums
beam
both
axial
thickness
directions,
gradation
length
scale
parameter
also
considered.
Linear
nonlinear
temperature
profiles
considered
present
loads.
Laplace
transform
exploited
evaluate
proposed
model
simply
supported
(SS)
boundary
condition.
verified
comparing
predicted
fundamental
frequency
previously
published
results.
A
parametric
study
conducted
explore
impacts
gradient
indices
parameters,
loads,
speed
acted
on
microbeams.
results
can
serve
as
evaluating
multi-functional
optimal
design
upon
load.
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik,
Journal Year:
2023,
Volume and Issue:
103(9)
Published: March 20, 2023
Abstract
To
the
best
of
authors'
knowledge,
this
study
for
first
time,
proposes
a
finite
element
(FE)
model
to
investigate
size‐dependent
vibrational
responses
guide
supported
imperfect
functionally
graded
(FG)
nonlocal
beams
embedded
in
an
elastic
foundation
context
elasticity
theory
(NET).
The
main
objective
paper
is
present
FE
solution
vibration
analysis
FG
nanobeams
including
effect,
power‐law
distribution
function,
sigmoid
even
porosity
model,
uneven
parameter,
and
support
condition.
It
considered
that
perfect/imperfect
are
made
silicon
carbide
(SiC)
aluminum
(Al)
beam
properties
vary
along
height
direction.
In
addition,
rest
on
one‐parameter
provides
interaction
between
structure
soil
with
springs.
frequency
values
obtained
by
using
method
shown
via
tables
figures.
Forces in Mechanics,
Journal Year:
2023,
Volume and Issue:
12, P. 100219 - 100219
Published: July 14, 2023
Since
the
classical
continuum
theories
are
insufficient
to
account
small
size
effects
of
nanobeams,
nonlocal
such
as
Eringen's
elasticity
theory,
couple
stress
strain
gradient
theory
and
surface
have
been
proposed
by
researchers
predict
accurate
structural
response
isotropic
functionally
graded
composite
nanobeams.
This
review
focuses
on
research
work
concerned
with
analysis
dependent
nanoscale
beams
using
refined
beam
based
theory.
The
present
article
also
highlight
possible
scope
for
future
In
study,
authors
developed
a
new
hyperbolic
shear
deformation
satisfy
traction
free
boundary
conditions
at
top
bottom
surfaces
Analytical
solutions
bending,
buckling
vibration
simply-supported
nanobeams
obtained
Navier
method.
To
ensure
that
is
valid,
results
compared
previous
research.
