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 ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Example<br />
Consider <strong>the</strong> four node element shown below. Examine <strong>the</strong> effect <strong>of</strong> using two<br />
different stress measures <strong>and</strong> <strong>the</strong> same constitutive matrix on <strong>the</strong> Cauchy stresses.<br />
2<br />
1<br />
3 4<br />
A. TL <strong>for</strong>mulation Using <strong>the</strong> PK2 stress measure <strong>and</strong> <strong>the</strong> Green-Lagrange strain<br />
tensor we have:<br />
t<br />
0S ij = t t<br />
0C ijrs 0 ɛ rs (1)<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 11
Change language