## Gauss Divergence Theorem

6 The divergence theorem (also known as Ostrogradski's Theorem) comes repeatedly in solid mechanics and can be stated as follows:

That is the integral of the outer normal component of a vector over a closed surface (which is the volume flux) is equal to the integral of the divergence of the vector over the volume bounded by the closed surface.

7 For 2D-1D transformations, we have

8 This theorem is sometime refered to as Green's theorem in space.

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