Journal of Composites Science,
Год журнала:
2024,
Номер
8(10), С. 401 - 401
Опубликована: Окт. 3, 2024
Fibre
deformation
(or
shearing
of
yarns)
can
develop
during
the
liquid
moulding
composites
due
to
injection
pressures
or
polymerisation
(cross-linking)
reactions
(e.g.,
chemical
shrinkage).
On
that
premise,
this
may
also
induce
potential
residual
stress–strain,
warpage,
and
design
defects
in
composite
part.
In
paper,
a
developed
numerical
framework
is
customised
analyse
deformations
stress–strain
fibre
(at
micro-scale)
yarns
meso-scale)
(LCM)
process
cycle
(fill
cure
stages).
This
achieved
by
linking
flow
simulations
(coupled
filling–curing
simulation)
transient
structural
model
using
ANSYS
software.
work
develops
advanced
User-Defined
Functions
(UDFs)
Scalers
(UDSs)
enhance
commercial
CFD
code
with
extra
models
for
chemorheology,
kinetics,
heat
generation,
permeability.
Such
will
be
hooked
within
conservation
equations
thermo-chemo-flow
hence
reflected
model.
doing
so,
knowledge
permeability,
polymerisation,
rheology,
mechanical
response
digitally
obtained
more
coherent
optimised
manufacturing
processes
composites.
Journal of low frequency noise, vibration and active control,
Год журнала:
2025,
Номер
unknown
Опубликована: Март 19, 2025
This
investigation
employs
the
“Tantawy
Technique,”
a
novel,
highly
accurate,
and
fast
technique,
to
solve
analyze
fourth-order
time-fractional
Cahn–Hilliard
(TFCH)
models.
We
also
implement
variational
iteration
transform
method
(VITM)
homotopy
perturbation
(HPTM)
within
Yang
framework
TFCH
These
iterative
procedures
enable
acquisition
of
solutions
in
convergent
series.
focus
on
two
nonlinear
issues
current
demonstrate
validity
accuracy
suggested
approaches.
check
derived
approximations
against
exact
for
integer
cases
then
find
their
absolute
error
ensure
stability.
The
present
approaches
show
how
different
fractional
orders
affect
profile
approximations.
presented
precision
effectiveness
techniques
tackling
strong
differential
equations.
Implementing
methodologies
indicates
that
as
value
parameter
transitions
from
order,
result
solution
case.
methods
make
it
straightforward
use
fractal
calculus
real
life.
numerical
analysis
results
proposed
are
viable
user-friendly
tools
with
high
computational
efficiency
when
used
various
physical
models
science
engineering.
Modern Physics Letters A,
Год журнала:
2025,
Номер
unknown
Опубликована: Янв. 24, 2025
Electrohydrodynamic
fluids
possess
extensive
applications,
spanning
from
the
formation
of
magnetic
fields
in
planets
and
stars
to
oil
recovery.
In
this
paper,
a
variational
principle
for
an
electrohydrodynamic
fluid
is
presented,
formulated
through
semi-inverse
method.
The
Ritz
method
utilized
derive
approximate
solution.
Furthermore,
potential
application
optimal
control
problems
constrained
by
explored.
Symmetry,
Год журнала:
2024,
Номер
16(11), С. 1467 - 1467
Опубликована: Ноя. 5, 2024
In
this
paper,
an
ancient
Babylonian
algorithm
for
calculating
the
square
root
of
2
is
unveiled,
and
potential
link
between
primitive
technique
Chinese
method
explored.
The
iteration
process
a
symmetrical
property,
whereby
approximate
converges
to
exact
one
through
harmonious
interactions
two
roots.
Subsequently,
extended
in
ingenious
manner
solve
algebraic
equations.
To
demonstrate
effectiveness
modified
algorithm,
transcendental
equation
that
arises
MEMS
systems
considered.
Furthermore,
established
adeptly
adapted
handle
differential
equations
fractal-fractional
Two
illustrative
examples
are
presented
consideration:
first
nonlinear
first-order
equation,
second
renowned
Duffing
equation.
results
age-old
approach
offers
novel
highly
effective
addressing
contemporary
problems
with
remarkable
ease,
presenting
promising
solution
diverse
range
modern
challenges.
Sound&Vibration,
Год журнала:
2024,
Номер
59(1), С. 1687 - 1687
Опубликована: Ноя. 15, 2024
The
perturbation
method
is
a
prevalent
approach
for
nonlinear
oscillators;
however,
the
outcomes
are
only
applicable
to
situations
with
weak
nonlinearity.
Other
analytical
methods,
such
as
variational
iteration
and
homotopy
method,
can
yield
satisfactory
approximate
solution;
each
necessitates
completion
of
multiple
calculations.
Hereby
recommended
one-step
frequency
formulation
oscillators,
this
part
1
focuses
itself
on
odd
This
paper
features
a
survey
of
the
periodic
property
micro-electro-mechanical
systems
by
homotopy
perturbation
method,
variational
iteration
theory,
He’s
frequency
formulation,
and
Taylor
series
method.
Fractal
MEMS
are
also
introduced,
future
prospective
is
elucidated.
The
emphasis
this
min-review
article
put
mainly
on
developments
in
last
decade,
so
references,
therefore,
not
exhaustive.
Applied Mathematics in Science and Engineering,
Год журнала:
2025,
Номер
33(1)
Опубликована: Янв. 3, 2025
The
article
demonstrates
the
novel
solutions
available
for
several
QDEs
and
offers
incredible
promise
investigation
of
quaternion
differential
equations
(QDEs).
This
result
is
likely
due
to
matrix
representation
strategy
use
Picard–Lindelöf
theorem,
which
an
important
consequence
traditional
ordinary
(ODE)
formulations.
Using
this
numerical
calculation
aid
research,
authors
rightly
point
out
that
there
a
feasible
QDE
solution.
Furthermore,
goes
beyond
direct
proof
its
existence
digs
into
analysis
stability
solution,
was
obtained.
In
particular,
appropriate
Lyapunov
determine
asymptotic
QDE.
study
adds
depth
understanding
provides
fundamental
insights
their
absorbed
dynamics.
particular
manuscript
examines
symmetry
asymmetry
aspects
QDEs,
possibly
investigating
how
these
properties
manifest
themselves
in
solving
implicit
situations
Through
examples,
architects
describe
methods
through
behaviours
exhibited
by
revealing
elegant
mathematical
architecture
inherent
situations.
By
Homotopy
Pertubation
method
Li–He
modified
Perturbation
method,
are
provided.
general,
fully
contributes
conceptual
framework
associated
with
providing
new
unique
existence,
stability,
This
work
introduces
a
novel
mathematical
framework
for
examining
the
thermal
conduction
characteristics
of
viscothermoelastic,
isotropic
micro-circular
ring.
The
foundation
model
is
Kirchhoff’s
theory
love
plates.
governing
equations
have
been
developed
by
using
Lord
and
Shulman’s
generalized
thermoelastic
model.
For
viscothermoelasticity
material,
Young’s
modulus
incorporates
an
additional
fractional
derivative
consideration
such
as
classical
Caputo
Caputo-Fabrizio
types,
alongside
normal
derivative.
outer
bounding
plane
thermally
loaded
ramp-type
heating.
Laplace
transform
has
applied
its
inverse
obtained
numerically.
Graphical
comparisons
between
definitions
ordinary
derivatives
were
incorporated
into
study.
objective
was
to
study
impacts
order
on
vibration
distribution
ceramic
ring
obtain
results.
It
ascertained
that
resonator
thickness
no
discernible
effect
waves;
nevertheless,
ramp
heat
parameter
identified
having
significant
impact.
resonator’s
thickness,
impact
mechanical
wave.
demonstrated
effectively
regulates
energy
damping
in
resonators.
