G. H. Majzoob and B. Sharifi Hamadani
Mapping of C Elements in Finite Element Method using Transformation Matrix
13 - 16
2007
1
1
International Journal of Materials and Metallurgical Engineering
https://publications.waset.org/pdf/6459
https://publications.waset.org/vol/1
World Academy of Science, Engineering and Technology
Mapping between local and global coordinates is an
important issue in finite element method, as all calculations are
performed in local coordinates. The concern arises when subparametric
are used, in which the shape functions of the field variable
and the geometry of the element are not the same. This is particularly
the case for C elements in which the extra degrees of freedoms
added to the nodes make the elements subparametric. In the present
work, transformation matrix for C1 (an 8noded hexahedron
element with 12 degrees of freedom at each node) is obtained using
equivalent C0 elements (with the same number of degrees of
freedom). The convergence rate of 8noded C1 element is nearly
equal to its equivalent C0 element, while it consumes less CPU time
with respect to the C0 element. The existence of derivative degrees
of freedom at the nodes of C1 element along with excellent
convergence makes it superior compared with it equivalent C0
element.
Open Science Index 1, 2007