Mechanics of Advanced Materials and Structures,
Journal Year:
2024,
Volume and Issue:
unknown, P. 1 - 14
Published: Dec. 10, 2024
Functionally
graded
triply
periodic
minimal
surface
(FG-TPMS)
structures
are
known
as
bio-inspired
structures.
They
possess
some
remarkable
advantages
such
porous
with
high
inter-connectivity,
mathematically
controllable
geometry
features
and
smooth
surfaces.
As
another
advantage,
FG-TPMS
can
be
fast
numerously
manufactured
by
3D
printing
technology.
Nevertheless,
modeling
these
is
a
challenging
task.
This
paper
investigates
static
bending
free
vibration
behaviors
of
shells.
The
proposed
formulation
established
upon
isogeometric
analysis
(IGA)
first-order
shear
deformation
shell
theory
(FSDT).
governing
equations
discretized
Galerkin
weak
form
numerically
solved
using
non-uniform
rational
B-Spline
(NURBS)
basis
functions.
Exact
geometries
described
via
NURBS
A
fitting
technique
used
to
compute
the
mechanical
characteristics
materials.
We
investigate
shells
considering
three
types
cell
which
primitive
(P),
gyroid
(G),
I-graph
wrapped
package-graph
(IWP),
six
porosity
distribution
patterns.
present
solutions
verified
reference
ones
in
literature.
Effects
boundary,
type
geometry,
pattern,
length-to-radius
thickness
ratios
on
rigorously
studied.
Especially,
many
numerical
results
first
this
paper.
