Mechanics Based Design of Structures and Machines,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 20
Published: Dec. 8, 2024
The
lightweight
design
of
thin-walled
curved
structures
as
spherical
shells
are
frequently
implemented
in
architecture,
aerospace,
mechanical,
automotive,
nuclear,
and
defense
structures.
Under
the
transverse
loads,
may
largely
deform
hence
snap
from
one
equilibrium
position
to
other.
Thus,
this
work
aims
develop
a
mathematical
model
computational
solution
investigate
nonlinear
bending
snap-through
behavior
doubly
auxetic
metamaterial
shell
subjected
transversal
loading,
for
first
time.
is
composed
several
layers
through
thickness,
each
layer
manufactured
copper
(Cu)
matrix
reinforced
with
specified
weight
fraction
graphene
origami
(GOAM).
mechanical
properties
GOAM
panel
presented
described
by
functions
volume
folding
degree.
Three
types
GOAM-distributions
considered,
which
U-type,
X-type,
O-type.
theoretical
framework
Kirchhoff–Love
hypotheses
thin
von
Karman
type
nonlinearity
used
derive
governing
equations.
differential
quadrature
method
(DQM)
discretize
space
domain
convert
partial
equation
algebraic
equations
terms
displacement
field.
An
efficient
incremental
iterative
procedure
developed
solve
predict
behavior.
A
conversion
validation
isotropic
considered.
Several
numerical
results
conducted
considering
effects
changing
content,
distribution
pattern,
degree,
curvature
thickness.
For
panels
exhibiting
behavior,
increasing
leads
higher
limiting
load;
however,
instability
gap
enlarged.
