OOF2: The Manual

Name

Force_Balance

Details

Description

The Force Balance equation is


      \[ M_{ij}\frac{\partial^2 u_j}{\partial t^2}
      + C_{ij}\frac{\partial u_j}{\partial t}
      + \nabla_j\cdot\sigma_{ij} - f_i = 0 \]
    (6.120)

where \(\bf
  u\) is the Displacement Field, \(M\) is the mass density tensor, \(\bf C\) is a damping coefficient, \(\sigma\) is the stress tensor and \(f\) is an external force density vector.