18.01.2014 Views

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 ...

SHOW MORE
SHOW LESS

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!