The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
The Finite Element Method for the Analysis of Non-Linear and ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
2D Axisymmetric, Plane Strain <strong>and</strong> Plane Stress <strong>Element</strong>s<br />
<strong>The</strong> nodal point coordinates determine <strong>the</strong> spatial configuration <strong>of</strong> <strong>the</strong><br />
element at time 0 <strong>and</strong> t using:<br />
n∑<br />
n∑<br />
0 x 1 (r) = N 0 k x k 1<br />
0 x 2 (r) = N 0 k x k 2<br />
<strong>and</strong> t x 1 (r) =<br />
k=1<br />
n∑<br />
N t k x k 1<br />
k=1<br />
t x 2 (r) =<br />
k=1<br />
n∑<br />
N t k x k 2<br />
k=1<br />
Isoparametric <strong>Element</strong>s ⇒ t u i (r) = ∑ n<br />
k=1 N t k uk i , i=1,2<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 2