Computer Modeling in Engineering & Sciences,
Год журнала:
2024,
Номер
141(1), С. 171 - 186
Опубликована: Янв. 1, 2024
A
numerical
approach
is
an
effective
means
of
solving
boundary
value
problems
(BVPs).This
study
focuses
on
physical
with
general
partial
differential
equations
(PDEs).It
investigates
the
solution
through
standard
forms
PDE
module
in
COMSOL.Two
typical
mechanics
are
exemplified:
The
deflection
a
thin
plate,
which
can
be
addressed
dedicated
finite
element
module,
and
stress
pure
bending
beam
that
cannot
tackled.The
procedure
for
two
regarding
three
required
by
detailed.The
results
were
good
agreement
literature,
indicating
provides
promising
to
solve
complex
PDEs,
especially
those
has
yet
developed.
International Journal of Engineering Science,
Год журнала:
2024,
Номер
203, С. 104123 - 104123
Опубликована: Июль 27, 2024
Although
auxetic
metamaterials
exhibit
unique
and
unusual
mechanical
properties,
such
as
a
negative
Poisson's
ratio,
their
mechanics
remains
poorly
understood.
In
this
study,
we
model
graded
beam
fabricated
from
graphene
origami-enabled
investigate
its
dynamics
the
perspective
of
different
shear
deformation
theories.
The
metamaterial
is
composed
multiple
layers
metamaterials,
where
content
origami
varies
through
layered
thickness;
both
property
other
properties
are
varied
in
manner,
which
effectively
be
approximated
via
micromechanical
models.
Euler-Bernoulli,
third-order,
higher-order
deformable
refined
theories
adopted
to
continuous
system.
Following
this,
governing
motion
equations
derived
using
Hamiltonian
principle
then
numerically
solved
weighted
residual
method.
obtained
results
provide
comprehensive
understanding
how
distribution
pattern,
folding
degree,
utilisation
influence
dynamic
behaviour
beam.
International Journal of Engineering Science,
Год журнала:
2023,
Номер
193, С. 103966 - 103966
Опубликована: Окт. 13, 2023
Smart
composites
(SCs)
are
utilized
in
electro-mechanical
systems
such
as
actuators
and
energy
harvesters.
Typically,
thin-walled
components
beams,
plates,
shells
employed
structural
elements
to
achieve
the
mechanical
behavior
desired
these
composites.
SCs
exhibit
various
advanced
properties,
ranging
from
lower
order
phenomena
like
piezoelectricity
piezomagneticity,
higher
effects
including
flexoelectricity
flexomagneticity.
The
recently
discovered
flexomagneticity
smart
has
been
investigated
under
limited
conditions.
A
review
of
existing
literature
indicates
a
lack
evaluation
three-dimensional
(3D)
elasticity
analysis
when
flexomagnetic
effect
(FM)
exists.
To
address
this
issue,
governing
equations
will
incorporate
term
∂/∂z,
where
z
represents
thickness
coordinate.
variational
technique
guide
us
further
developing
equations.
By
using
hypotheses
theories
3D
beam
model,
von
Kármán's
strain
nonlinearity,
Hamilton's
principle,
well-established
direct
converse
FM
models,
we
derive
constitutive
for
thick
composite
beam.
Conducting
implies
that
gradient
tensors
must
be
expressed
forms.
inclusion
∂/∂z
necessitates
construction
different
model.
It
should
noted
current
commercial
finite
element
codes
not
equipped
accurately
adequately
handle
micro-
nano-sized
solids,
thus
making
it
impractical
model
structure
programs.
Therefore,
transform
derived
characteristic
linear
bending
into
semi-analytical
Polynomial
domain
obtain
numerical
results.
This
study
demonstrates
importance
conducting
analyses
explore
coupling
multiple
physical
structures.
International Journal of Engineering Science,
Год журнала:
2024,
Номер
198, С. 104056 - 104056
Опубликована: Март 12, 2024
This
study
presents
an
original
and
novel
investigation
into
the
mechanics
of
piezo-flexo-magneto-elastic
nanocomposite
doubly-curved
shells
(PFMDCSs)
ability
to
detect
lower
higher
levels
electro-magnetic
fields.
In
this
context,
by
utilizing
first-order
shear
deformation
shell
model,
stresses
strains
are
acquired.
By
imposing
Hamilton's
principle
von
Kármán
approach,
governing
equations
have
been
obtained.
The
intelligent
model
consists
size-dependent
influences,
viz.,
strain
gradients.
will
take
place
via
Mindlin's
gradient
elasticity
theory
subsequent
re-establishing
mathematical
framework
incorporating
concept.
results
in
a
flexoelectric/flexomagnetic
effect.
converse
effect
magnetic
field
on
basis
close
circuit
has
assumed.
developed
bending
transferred
algebraic
ones
substituting
analytical
technique
based
homogeneous
immovable
simple
support
for
four
edges.
problem
solved
according
Newton-Raphson
iteration
scheme,
transverse
deflections
computed.
For
researching
rightness
precision
models
together
with
solution
process,
comparison
is
prepared
finite
element
method
(FEM)
simplified
shells,
good
correlation
observed.
At
last,
examining
several
factors
problem,
conditions
under
which
effects
can
be
noticeable
dominant
sought.
could
serve
as
benchmark
reference
piezoceramic-DCSs,
presented
original.
most
interesting
outcome
research
that
response
structures
entirely
geometry-dependent.
International Journal of Engineering Science,
Год журнала:
2024,
Номер
201, С. 104057 - 104057
Опубликована: Май 22, 2024
The
thermo-electro-mechanical
vibration
characteristics
of
piezoelectric
nanoplates
using
Kirchhoff
and
Mindlin
plate
theories
under
a
two-parameter
elastic
foundation
with
general
boundary
conditions
are
investigated
in
this
article.
Utilizing
nonlocal
theory,
the
governing
equations
analytical
model,
which
account
for
external
variable
influences,
derived
Hamilton's
principle.
In
benchmark
case,
wave-based
method
is
employed
to
analyze
nanoplate
conditions.
Additionally,
series
detailed
numerical
examples
provided
examine
impact
parameter,
electric
voltage,
temperature
change,
biaxial
force,
Winkler's
modulus
Pasternak's
parameter
on
restrained
accuracy
calculations
verified,
several
conclusions
drawn.
This
paper
aims
expand
range
analysis
structures
provide
theoretical
data
design
nano-electromechanical
systems.
