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arXiv · 1710.10496

On jets, almost symmetric tensors, and traction hyper-stresses

Reuven Segev·Jedrzej Sniatycki
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Abstract

The paper considers the formulation of higher-order continuum mechanics on differentiable manifolds devoid of any metric or parallelism structure. For generalized velocities modeled as sections of some vector bundle, a variational kth order hyper-stress is an object that acts on jets of generalized velocities to produce power densities. The traction hyper-stress is introduced as an object that induces hyper-traction fields on the boundaries of subbodies. Additional aspects of multilinear algebra relevant to the analysis of these objects are reviewed.

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Reuven Segev, Jedrzej Sniatycki. 2017-10-28. On jets, almost symmetric tensors, and traction hyper-stresses. https://doi.org/10.2140/memocs.2018.6.101

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