System Virtual Work
Summing the internal virtual work (14) for all elements gives the right-hand-side of (1):
Considering now the left-hand-side of (1), the system external virtual work consists of:
- The work done by the nodal forces R:
- The work done by external forces on the part of the elements' edges or surfaces, and by the body forces
-
- Substitution of (6b) gives:
- or
- where we have introduced additional element's matrices defined below:
- Again, numerical integration is convenient for their evaluation. A similar replacement of q in (17a) with r gives, after rearranging and expanding the vectors :
Read more about this topic: Finite Element Method In Structural Mechanics
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