User:EML5526.S11.Team3.vnarayanan/Homework7

=Problem 7.3 Find static solution to $$10^{-6}\;\;$$ accuracy using Quadrilateral and Triangular elements=

Problem Statement
Let $$\;\;\Omega\;\;$$ be a circular domain. Find static solution such that T = 4 and $$\;\;f(x) = 1\;\;\;\;$$in $$\;\;\;\;\Omega\;\; and \;\;g = 0 \;\;on \;\;\Gamma_{g}= \partial\Omega\;\;$$. Use both quadrilateral and triangular elements. Plot the deformed shape in 3-D.

Solution
The nodes and the elements information were obtained from Calculix and are shown below, for both the cases, quadrilateral elements and triangular elements.



We ran the program for the case of quadrilateral elements. We were unable to get the code to run till the end as it took a lot of time. Hence we terminated the code halfway while it was running and we got the values of 'd'(Displacement). The values are listed below.