Q. 4.7
The interpolation functions corresponding to node i of a triangular element can be
expressed in terms of natural coordinates L1, L2, and L3 using the relationship
where,
With i = 1, 2. . . n
n = total number of nodes in the element, and
m = order of the interpolation model (2 for quadratic, 3 for cubic),
Lj
(i) = value of the coordinate L j at node i.
Using above equations, find the interpolation function corresponding to node 1 of a
quadratic triangular element.
SOLUTION:
For quadratic element
m = order of the interpolation model = 2
Quadratic element
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