Mechanics Based Design of Structures and Machines,
Год журнала:
2023,
Номер
52(9), С. 6101 - 6124
Опубликована: Окт. 19, 2023
AbstractIn
the
present
work,
a
novel
refined
three-variable
quasi-3D
shear
deformation
theory
incorporates
correction
factor
is
developed
to
analyze
buckling
behavior
of
multi-directional
functionally
graded
(FG)
curved
beams.
The
proposed
displacement
field
formulated
in
accordance
with
Euler-Bernoulli
beam
theory.
research
investigated
two
types
coated
Functionally
Graded
nanobeams:
Hardcore
(HC)
FG
nanobeams
and
Softcore
(SC)
nanobeams.
Three
different
material
distributions
are
taken
into
consideration:
bidirectional
distribution
referred
as
"2D-FG,"
unidirectional
transverse
known
"T-FG,"
axial
called
"A-FG."
Eringen's
nonlocal
elasticity
employed
capture
small-scale
effects.
total
potential
energy
principle
utilized
derive
equilibrium
equations
A
solution,
utilizing
Galerkin's
method,
has
been
effectively
address
range
boundary
conditions.
supported
by
an
elastic
foundation
following
Winkler/Pasternak/Kerr
model.
comprehensive
analysis
conducted
examine
impacts
various
schemes,
geometry,
parameter,
foundations,
conditions
on
dimensionless
critical
loads.
This
aims
provide
understanding
how
each
these
factors
influences
loads
nanobeams.Keywords:
Buckling
behaviorthree-variable
theorycoated
nanobeamsize-dependentWinkler/Pasternak/Kerr
foundationGalerkin
method
Disclosure
statementNo
conflict
interest
was
reported
author(s).Data
availability
statementThe
data
used
support
findings
this
study
included
article.Additional
informationFundingThe
authors
extend
their
appreciation
Deputyship
for
Research
&
Innovation,
Ministry
Education
Saudi
Arabia
funding
work
through
project
number
ISP23-49.
Composite Structures,
Год журнала:
2024,
Номер
334, С. 117969 - 117969
Опубликована: Фев. 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%
European Journal of Mechanics - A/Solids,
Год журнала:
2024,
Номер
107, С. 105384 - 105384
Опубликована: Июль 21, 2024
The
prime
target
of
the
present
study
is
to
inspect
role
surface
elasticity
at
nanoscale
in
changing
stability
branches
as
well
lower
and
upper
limit
loads
uniformly
thermomechanical
loaded
curved
nanobeams
having
different
degrees
curvature.
To
this
end,
classical
elastic-based
multiple
equilibria
are
predicted
for
nanosized
third-order
shear
flexible
clamped
beams
consisted
through-thickness
functionally
graded
porosity
with
schemes
besides
reinforcing
by
graphene
nanofillers.
established
nanoscale-dependent
nonlinear
formulations
then
solved
numerically
aid
isogeometric
collocation
technique
creating
a
distinct
grid
points
allocated
contemplated
basis
assortments
individually
via
Greville
abscissas.
It
deduced
that
taking
temperature
escalation
into
account,
along
applied
sidewise
uniform
pressure,
prominence
stress
effects
on
quantity
load
reduces,
while
them
enhances.
These
anticipations
become
more
prominent
FGP
reinforced
nanobeam
possessing
less
degree
Accordingly,
owning
small-curved
nanobeam,
increasing
amount
from
150°C
300°C,
turns
down
16.90%
1.51%
if
h=15nm,
6.76%
0.38%
h=30nm,
2.48%
0.07%
h=60nm.
While
gets
higher
48.69%
138.25%
22.70%
83.95%
8.89%
22.91%
Owning
medium-curved
rise
14.98%
12.68%
7.09%
6.03%
2.84%
2.41%
Alternatively,
large-curved
22.30%
21.15%
10.38%
9.82%
4.11%
3.87%
