11.6 Deformable body
11.6.1 Principle of Virtual Work for Deformable Bodies
\[\begin{equation*} \delta W = \delta W_e + \delta W_i = 0 \end{equation*}\]
- Where:
- \(\delta W_i =\) virtual work of internal forces
- \(\delta W_i = - \displaystyle\int_V {\left[\displaystyle\sum_i \displaystyle\sum_j {\sigma_{ij}}\cdot \delta {\varepsilon_{ij}}\right]\;} dV\)
- \(i,j = x,y,z\)
- \(\delta W_e =\) virtual work of external forces, including body forces
- \(\delta W_i =\) virtual work of internal forces
- Notes:
- Reactions at restrained supports do not do work.
- The principle is not limited to any constitutive equation.