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A metric independent geometric analysis of second order stresses in continuummechanics is presented. For a vector bundle $W$ over the $n$-dimensional spacemanifold, the value of a second order stress at a point $x$ in space isrepresented mathematically by a linear mapping between the second jet space of$W$ at $x$ and the space of $n$-alternating tensors at $x$. While only limitedanalysis can be performed on second order stresses as such, they may berepresented by non-holonomic stresses, whose values are linear mapping definedon the iterated jet bundle, $J^{1}(J^{1}W)$, and for which an iterated analysisfor first order stresses may be performed. As expected, we obtain the surfaceinteractions on the boundaries of regions in space.

Metric Independent Analysis of Second Order Stresses