Networks and Heterogeneous Media,
Journal Year:
2025,
Volume and Issue:
20(1), P. 52 - 64
Published: Jan. 1, 2025
<p>Using
the
lattice
dynamics
approach,
we
discussed
propagation
of
interfacial
waves
localized
near
interface
in
an
infinite
square
lattice.
The
has
been
modeled
as
a
single-particle
layer
material
particles
with
masses
and
elastic
bonds
different
from
those
bulk.
In
this
structure
there
were
anti-plane
waves,
i.e.,
that
decayed
exponentially
distance
interface.
Such
could
be
useful
for
determining
properties
vicinity
We
obtained
equations
motion
analyzed
corresponding
dispersion
relations
steady-state
solutions.
Here,
equation
related
circular
frequency
to
wave
number.
addition,
provided
comparison
derived
within
Gurtin-Murdoch
surface
elasticity.
To
do
this,
have
used
scaling
law
links
continuum
discrete
models.
Unlike
model,
model
number
was
limited
by
first
Brillouin
zone,
whereas
it
took
range
zero
infinity.
detailed
parametric
analysis
given
model.
Finally,
other
models
interfaces
case
discussed.</p>
Mathematics and Mechanics of Solids,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Feb. 6, 2025
In
this
study,
the
dynamic
characteristics
of
a
cantilevered
Mindlin
plate,
partially
or
totally
in
contact
with
fluid
on
both
sides,
are
examined
using
proposed
hybrid
isogeometric
finite
element
–
boundary
framework.
The
interaction
problem
is
divided
into
two
parts
through
implementation
linear
hydroelasticity
theory,
allowing
for
independent
treatment
structural
and
problems.
part
analysis,
thick
plate
modeled
as
first-order
shear
deformable
by
adopting
Reissner–Mindlin
material
assumed
to
be
homogeneous
isotropic.
resulting
eigenvalue
then
solved
method
(IGAFEM).
second
assuming
ideal
incorporating
vacuo
conditions,
fluid-structure
effects
determined
(IGABEM)
terms
generalized
added
mass
coefficients.
Subsequently,
parametric
studies
various
thicknesses
submergence
depths
conducted.
analysis
reveals
that
wet
natural
frequencies
differ
noticeably
from
their
counterparts
due
presence
free
surface
fluid.
addition,
effect
radiated
waves
vibrating
structure
included
mathematical
model
imposing
linearized
condition,
frequency-dependent
hydrodynamic
damping
numerical
accuracy
approach
verified
against
commercial
software
ANSYS,
showing
favourable
agreement
predicted
corresponding
mode
shapes.
Materials,
Journal Year:
2025,
Volume and Issue:
18(8), P. 1787 - 1787
Published: April 14, 2025
The
present
study
utilises
the
extended
finite
element
method
(XFEM)
to
model
fibre-reinforced
composites,
with
a
focus
on
crack
initiation
and
propagation.
Silicon
nitride-based
ceramics
were
selected
as
material;
they
represent
broad
class
of
short
fibre
have
received
lot
attention
in
recent
decades.
Some
peculiarities
when
using
XFEM,
including
its
modifications,
are
discussed
response
applied
external
stresses,
mainly
viscoelastic
range.
Promising
approaches
recommended,
which
lead
more
accurate
description
these
materials
under
operating
conditions,
focusing
correct
calculation
macroscopic
stress
ahead
propagating
front.
authors
draw
years
experience
material
investigate
possible
improvements
modifications
XFEM.
Comptes Rendus Mécanique,
Journal Year:
2025,
Volume and Issue:
353(G1), P. 647 - 672
Published: May 20, 2025
An
inextensible
1D
continuum
whose
deformation
energy
purely
depends
on
the
gradient
of
associated
curvature
is
introduced
to
describe
behavior
Zigzagged
Articulated
Parallelograms
with
Braces
truss
structures
(ZAPAB
structures)
after
homogenization.
We
choose
a
particular
ZAPAB
structure
in
which
all
but
one
constituting
bars
basic
module
do
not
change
their
length
under
applied
loads.
This
judicious
choice
allows
us
verify,
through
numerical
simulations,
that
corresponding
indeed
has
solely
derivative
curvature.
Thus,
by
employing
best-fitting
approach
based
least
squares
method,
we
numerically
identify
best
stiffness
coefficient
(in
squared
sense)
contribution
due
curvature,
termed
as
double-bending
stiffness.
The
presented
simulations
consider
case
uniformly
distributed
dead
loads,
and
reveal
strong
match
between
current
configurations
proposed
model,
obtained
Finite
Element
Method,
(for
selected
number
modules),
discrete
approach,
curves
coinciding
up
certain
intrinsic
error.
These
results
require
development
an
analytical
micro–macro
identification
procedure.
facilitate
advances
synthesis
tailored
materials
n
-th
theory.
adopt
theory-driven
expectation
devising
exotic
behaviors.
Specifically,
anticipate
material
lines
capable
storing
uniform
bending
(constant
curvature)
will
be
homogenization,
thereby
paving
way
for
future
work
introduces
complex
built
upon
them.
Our
discussion
inspired
well-known
pantographic
structures,
serve
archetypes
second
designed
such
no
stored
extension.
