Ab
ridging the chasm between the
prevalent
ly employed
continuum methods (e.g. FEM) and discontinuum methods (e.g. DDA)
,the numerical manifold
(NNM)
,which utilizes two covers, namely the
mathematical cover and physical cover
,
has evinced various advantages
in
solving
solid mechanic
al issues.
The
forth-order
partial
elliptic
differential equation governing
Kirchhoff
plate bending
makes it arduous to establish the
-regular Lagrangian partition of unity
,nevertheless,
this study renders a
modified
conforming
ACM
manifold
element
,
irrespective of
accreting its cover degrees,
to resolve the fourth-order problems.
In tandem with the forming of the
finite element cover system
that
erected on
r
ectangular mesh
es
,
a succession of n
umerical manifold formulas
are
derived
on grounds of
the
minimum potential energy principle
and the
displacement boundary conditions
are
executed
by penalty function methods.
The numerical example elucidates that
, compared with the orthodox ACM
element
,
the
proposed
methods
bespeak the accuracy and precipitating
convergence
of the NMM
.