Mathematics and Mechanics of Solids,
Год журнала:
2024,
Номер
29(5), С. 881 - 903
Опубликована: Янв. 23, 2024
We
propose
a
topology
optimisation
approach
that
can
effectively
account
for
the
size
effect
of
periodic
composite
plates
to
determine
optimal
material
distribution
achieving
largest
bandgap
width.
The
is
based
on
modified
couple
stress
continuum
and
uses
relative
width
as
objective
function,
with
volume
constraints
defined
constraint
function.
properties
are
represented
by
solid
isotropic
penalisation
(SIMP)
interpolation
model,
optimality
criteria
(OC)
algorithm
employed
update
design
variables.
To
address
significant
microplate
structure,
we
use
model
dynamic
behaviour
unit
cell.
Melosh–Zienkiewicz–Cheung
(MZC)
finite
element
ensure
nodal
[Formula:
see
text]
continuity
achieve
high-order
elasticity
respect
inter-element
continuity.
Our
results
demonstrate
proposed
methodology
capable
designing
cell
configurations
significantly
improve
also
investigate
impact
thickness
limitations
optimised
configuration.
obtained
suggest
framework
promising
geometries
effect.
Journal of Vibration and Control,
Год журнала:
2025,
Номер
unknown
Опубликована: Май 29, 2025
Recent
years
have
witnessed
increasing
research
interest
in
metamaterials
for
vibration
and
noise
control,
with
broadband
suppression
being
particularly
sought
after.
This
study
proposes
an
analytical
approach
achieving
attenuation
through
parameter
detuning
of
metamaterial
plates.
Through
modal-based
homogenization,
energy
method,
finite
element
validation,
the
effects
are
quantitatively
studied
to
obtain
a
scheme
plates
under
Gaussian
distribution.
The
plate’s
average
response
serves
as
metric
evaluating
effectiveness
across
multiple
samples.
Results
show
while
reduces
distinct
band
gap
effect,
it
enables
over
wider
frequency
range.
Since
naturally
occurs
real
manufacturing
processes,
considering
design
is
crucial
effective
control
practical
applications.
Materials,
Год журнала:
2023,
Номер
16(11), С. 3946 - 3946
Опубликована: Май 25, 2023
Cellular
materials
have
a
wide
range
of
applications,
including
structural
optimization
and
biomedical
applications.
Due
to
their
porous
topology,
which
promotes
cell
adhesion
proliferation,
cellular
are
particularly
suited
for
tissue
engineering
the
development
new
solutions
biomechanical
Furthermore,
can
be
effective
in
adjusting
mechanical
properties,
is
especially
important
design
implants
where
low
stiffness
high
strength
required
avoid
stress
shielding
promote
bone
growth.
The
response
such
scaffolds
improved
further
by
employing
functional
gradients
scaffold’s
porosity
other
approaches,
traditional
frameworks;
modified
algorithms;
bio-inspired
phenomena;
artificial
intelligence
via
machine
learning
(or
deep
learning).
Multiscale
tools
also
useful
topological
said
materials.
This
paper
provides
state-of-the-art
review
aforementioned
techniques,
aiming
identify
current
future
trends
orthopedic
biomechanics
research,
specifically
implant
scaffold
design.
Mathematics and Mechanics of Solids,
Год журнала:
2024,
Номер
29(5), С. 881 - 903
Опубликована: Янв. 23, 2024
We
propose
a
topology
optimisation
approach
that
can
effectively
account
for
the
size
effect
of
periodic
composite
plates
to
determine
optimal
material
distribution
achieving
largest
bandgap
width.
The
is
based
on
modified
couple
stress
continuum
and
uses
relative
width
as
objective
function,
with
volume
constraints
defined
constraint
function.
properties
are
represented
by
solid
isotropic
penalisation
(SIMP)
interpolation
model,
optimality
criteria
(OC)
algorithm
employed
update
design
variables.
To
address
significant
microplate
structure,
we
use
model
dynamic
behaviour
unit
cell.
Melosh–Zienkiewicz–Cheung
(MZC)
finite
element
ensure
nodal
[Formula:
see
text]
continuity
achieve
high-order
elasticity
respect
inter-element
continuity.
Our
results
demonstrate
proposed
methodology
capable
designing
cell
configurations
significantly
improve
also
investigate
impact
thickness
limitations
optimised
configuration.
obtained
suggest
framework
promising
geometries
effect.
