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.
<strong>Element</strong> Matrices<br />
where <strong>the</strong> following notation has been used<br />
M = time independent Mass matrix<br />
t<br />
K, t 0K L , t tK L =<br />
linear strain incremental Stiffness matrices<br />
t<br />
0K NL , t tK NL = nonlinear strain incremental Stiffness matrices<br />
t+∆t<br />
R = vector <strong>of</strong> externally applied nodal point loads at time t + ∆t<br />
t<br />
F, t 0F, t tF = vector <strong>of</strong> nodal point <strong>for</strong>ces equivalent to <strong>the</strong> element stresses<br />
U = vector <strong>of</strong> increments in nodal point displacements<br />
Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 11